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    CHAPTER1

    INTRODUCTION

    A Nozzle is a device designed to control the direction or

    characteristics of a fluid flow (especially to increase velocity) as it

    exits (or enters) an enclosed chamber or pipe via an orifice. A nozzle is

    often a pipe or tube of varying cross sectional area and it can be used to

    direct or modify the flow of a fluid (liquid or gas). Nozzles are

    frequently used to control the rate of flow, speed, direction, mass,

    shape, and/or the pressure of the stream that emerges from the

    Frequently the goal is to increase the kinetic energy of the flowing

    medium at the expense of its pressure and internal energy.

    Nozzles can be described as convergent (narrowing down from a

    wide diameter to a smaller diameter in the direction of the flow) or

    divergent (expanding from a smaller diameter to a larger one). A de

    Laval nozzle has a convergent section followed by a divergent section

    and is often called a nozzle. Convergent nozzles accelerate subsonic

    fluids. If the nozzle pressure ratio is high enough the flow will reach

    sonic velocity at the narrowest point (i.e. the nozzle throat). In this

    situation, the nozzle is said to be choked.

    Increasing the nozzle pressure ratio further will not increase the

    throat Mach number beyond unity. Downstream (i.e. external to the

    nozzle) the flow is free to expand to supersonic velocities. Note that

    the Mach 1 can be a very high speed for a hot gas; since the speed of

    sound varies as the square root of absolute temperature. Thus the speed

    reached at a nozzle throat can be far higher than the speed of sound at

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    sea level. This fact is used extensively in rocketry where hypersonic

    flows are required, and where propellant mixtures are deliberately

    chosen to further increase the sonic speed.

    Divergent nozzles slow fluids, if the flow is subsonic, but

    accelerate sonic or supersonic fluids. Convergent can therefore

    accelerate fluids that have choked in the convergent section to

    supersonic speeds. This CD process is more efficient than allowing a

    convergent nozzle to expand supersonically externally. The shape of

    the divergent section also ensures that the direction of the escaping

    gases is directly backwards, as any sideways component would not

    contribute to thrust. Jet exhaust produces a net thrust from the energy

    obtained from combusting fuel which is added to the inducted air. This

    hot air is passed through a high speed nozzle, a propelling nozzle

    which enormously increases its kinetic energy.

    For a given mass flow, greater thrust is obtained with a higher

    exhaust velocity, but the best energy efficiency is obtained when the

    exhaust speed is well matched with the airspeed. However, no jet

    aircraft can maintain velocity while exceeding its exhaust jet speed,

    due to momentum considerations. Supersonic jet engines, like those

    employed in fighters and SST aircraft (e.g. Concorde), need high

    exhaust speeds. Therefore supersonic aircraft very typically use a CD

    nozzle despite weight and cost penalties. Subsonic jet engines employ

    relatively low, subsonic, exhaust velocities. They thus employ simple

    convergent nozzles. In addition, bypass nozzles are employed giving

    even lower speeds.

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    Rocket motors use convergent-divergent nozzles with very large

    area ratios so as to maximise thrust and exhaust velocity and thus

    extremely high nozzle pressure ratios are employed. Mass flow is at a

    premium since all the propulsive mass is carried with vehicle, and very

    high exhaust speeds are desirable.

    Most modern passenger and military aircraft are powered by gas

    turbine engines, which are also called jet engines. There are several

    different types of gas turbine engines, but all turbine engines have

    some parts in common. All gas turbine engines have a nozzle to

    produce thrust, to conduct the exhaust gases back to the free stream,

    and to set the mass flow rate through the engine. The nozzle sits

    downstream of the power turbine.

    A nozzle is a relatively simple device, just a specially shaped

    tube through which hot gases flow. However, the mathematics which

    describes the operation of the nozzle takes some careful thought. As

    shown above, nozzles come in a variety of shapes and sizes depending

    on the mission of the aircraft. Simple turbojets, and turboprops, often

    have a fixed geometry convergent nozzle. Turbofan engines often

    employ a co-annular nozzle as shown at the top left. The core flow

    exits the centre nozzle while the fan flow exits the annular nozzle.

    Mixing of the two flows provides some thrust enhancement and these

    nozzles also tend to be quieter than convergent nozzles. Afterburning

    turbojets and turbofans require a variable geometry convergent-

    divergent - CD nozzle. In this nozzle, the flow first converges down to

    the minimum area or throat, and then is expanded through the

    divergent section to the exit at the right. The variable geometry causes

    these nozzles to be heavier than a fixed geometry nozzle, but variable

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    geometry provides efficient engine operation over a wider airflow

    range than a simple fixed nozzle.

    Rocket engines also use nozzles to accelerate hot exhaust toproduce thrust. Rocket engines usually have a fixed geometry CD

    nozzle with a much larger divergent section than is required for a gas

    turbine. All of the nozzles we have discussed thus far are round tubes.

    Recently, however, engineers have been experimenting with nozzles

    with rectangular exits. This allows the exhaust flow to be easily

    deflected, or vectored. Changing the direction of the thrust with the

    nozzle makes the aircraft much more manoeuvrable.

    Because the nozzle conducts the hot exhaust back to the free

    stream, there can be serious interactions between the engine exhaust

    flow and the airflow around the aircraft. On fighter aircraft, in

    particular, large drag penalties can occur near the nozzle exits. As with

    the inlet design, the external nozzle configuration is often designed by

    the airframes and subjected to wind tunnel testing to determine the

    performance effects on the airframe. The internal nozzle is usually the

    responsibility of the engine manufacturer.

    1.1 INTRODUCTION TO JET

    Jet is a free shear flow driven by momentum introduced at the

    nozzle exit of, usually, a nozzle or am orifice which exhibits a

    characteristic that, the ratio of width to axial distance is a constant.

    The jet may also define as a continuous fluid flow issuing from an

    orifice into a medium of lower speed fluid. As the jet fluid travels

    further away from its origin, it slows down due to mixing with slower

    speed ambient fluid. This is due to boundary layer at the nozzle exit

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    which develops roll up structure, or ring vortices, which grow in size

    when they move downstream, due to the entrainment of ambient fluid

    into jet stream. Thus, mass flow at any cross-section of the jet

    progressively increases along the downstream direction. Hence, to

    converse momentum the centreline velocity decreases with

    downstream distance. The resulting centreline velocity decay as

    proportional to gradient across the shear layer and is a strong function

    of distance downstream of the exit. The vast quanta of knowledge

    presently available and continuous research currently being carried out

    stand testimony to the importance associated with the jet flows.

    1.1.1 CLASSIFICATION OF JETS

    Basically jets can be classified into two categories namely;

    incompressible and compressible jets Fig.1.1. The jets with Mach

    number less than 0.3, up to which the compressibility effects are

    negligible are called incompressible jets. Compressible jets can be

    again subdivided into subsonic, sonic and supersonic jets. Jets with

    Mach number 1.0 are called sonic jets, which can be correctly

    expanded or under expanded. Supersonic jets are the jets with Mach

    number more than one. These can be further classified into over

    expanded, correctly expanded and under expanded jets.

    1.1.2REGIMES OF JETS

    A Schematic diagram of a typical subsonic jet and the different

    flow zones are shown in Fig. 1.2 the flow regimes in the subsonic jets

    are classified as follows:

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    Fig 1.1 Classification of jets.

    a. Potential core region: This the region consists of a coreconstant axial velocity close to the jet exit velocity surrounded

    by a rapidly growing and strongly sheared annulus of mixing

    layer or shear layer with intense turbulence. Potential core region

    extends about 5 times the nozzle exit diameter (D) downstream

    from the nozzle exit. This is because, the mixing initiated at the

    jet boundaries has not yet permeated into the entire flow field,

    thus leaving a region that is characterized by a constant axial

    velocity.

    b. Transition region: This is the region where the centerlinevelocity begins to decay. This characteristic decay zone extends

    from about 5D to 10D downstream over which the turbulence

    JETS

    INCOMPRESSIBLE

    0

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    changes from its annular to a somewhat pseudo-cylindrical

    distribution. As a result, the velocity difference between the

    ambient fluid and the high speed core of the jet decrease and

    attenuates the shear that supports the vortical rings in the jet and

    thus the velocity profiles become smoother with jet propagation.

    c. Fully developed region: Beyond the transition region the jetbecomes similar in appearance to a flow of fluid from a source of

    infinitely small thickness In reality the jet velocity becomes

    insignificant after about 30D

    Fig.1.2 Schematic of different zones in a subsonic jet.

    1.2 NEED OF JET CONTROL

    There are numerous system, especially in the aerospace, where

    the ability to enhance the mixing characteristics of a jet will greatly

    improve their performance. For example, by increasing the rate of

    mixing between air and fuel, the efficiency of a combustion cycle can

    be improved. Other examples of technological application requiring

    control of mixing in compressible flows include thrust augmenting

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    ejectors, thrust vector control, metal deposition, and gas dynamic

    lasers.

    1.3 TYPES OF CONTROLS

    Control may be defined as the ability to modify the flow

    characteristics of jets. Jet controls can be broadly classified into active

    and passive controls. Both active and passive controls mainly aim at

    modifying the flow and noise characteristics.

    1.3.1 ACTIVE CONTROL

    In active control, an auxiliary power source (like micro jets) is

    used to control the jet characteristics. Many active jet control methods

    use energized actuators to dynamically manipulate flow phenomena.

    Pulsed jets, piezoelectric actuators, micro jets and oscillating jets are

    among the most effective controls for active mixing enhancement.

    1.3.2 PASSIVE CONTROL

    In passive control the controlling energy is drawn directly from

    the flow to be controlled. Passive controls are mostly desired because

    no external power source is required. Passive control methods use

    geometrical modifications which alter the flow structure. Some of the

    commonly used passive control methods are shown below.

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    Fig.1.3 Schematic of different type of passive controls.

    1.4. CHEVRONS

    Chevrons are saw tooth-like patterns at the trailing edge of jet engine

    nozzles that help reduce noise from the ensuing jet. It has been known

    from past experimental studies with laboratory-scale jets that small

    protrusions at the nozzle lip, called tabs, would suppress screech

    tones. In the 1980s and 1990s the tabs were explored extensively for

    mixing enhancement in jets. These studies advanced the understanding

    of the flow mechanisms and suggested that the technique might have a

    potential for reduction of turbulent mixing noise that is the

    dominant component of jet noise for most aircraft. Driven by stringent

    noise regulations, such a potential first received serious attention

    on an application level in the mid 1990s. Engine companies expressed

    interest and some proposed their own concepts for tests. In 1996-97,

    concepts from General Electric Aircraft Engines (GEAE), Pratt &

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    Whitney (P&W) and others were combined into a test program under

    NASAs Advanced Subsonic Technology (AST) Program. Various

    tab/chevron configurations were evaluated for noise reduction with

    models of separate flow nozzles in free-jet tests and encouraging results

    were obtained. However, scepticism lingered and there was reluctance to

    embrace the technology primarily out of concerns about thrust penalty.

    In 1998 the impact on thrust was evaluated and found to be less than

    0.25%. This was the turning point in the development of the technology

    when industry started to invest heavily with product development

    programs. The effort under AST culminated in flight tests in 2001 on

    NASAs Lear jet 25 and Honeywells Falcon 20 test aircraft proving the

    noise reduction.

    Today, chevrons are implemented on various engines,

    However, as stated, the evolution of the technology can be traced back

    to decades of fundamental studies with tabs and similar devices at

    universities, NASA as well as in industry. The concerted NASA /

    industry studies in the 1990s eventually led to designs that produced

    significant noise reduction while keeping the thrust loss within acceptable

    limits. The objective of this paper is to provide an account of this

    evolution, starting with a summary of the earlier fundamental studies.

    1.4.1. EARLIER STUDIES ON THE EFFECT OF TABS

    It has been known for a long time that tabs, small protrusions placed near

    the nozzle exit, suppress screech noise. Screech is a phenomenon typical of

    small, clean, laboratory jets that, under imperfectly expanded supersonic

    condition, involve a feedback loop to produce a sharp tone. In laboratory

    experiments the curious suppression effect is readily demonstrated by

    inserting a small obstacle, such as the tip of a pencil, near the nozzle exit.

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    One of the earliest studies of noise suppression by such devices is that of

    Westley & Lilley . A picture of the teeth patterns used in their

    experiment, in the then newly established program of jet noise research at

    Cranfield, UK.

    The authors observed large reduction of supersonic jet noise by these

    devices apparently in part due to suppression of screech. Later experiments

    usually deployed a single tab or two tabs that were sufficient to suppress

    screech. Suppression of screech was desired in order to allow a clearer

    study of other components of jet noise.

    With regards to the effect of tabs on the jet flow field, The authors of this

    work noted that the insertion of small rectangular tabs into the jet flow on

    the nozzle perimeter had a profound effect; the apparent potential core

    length was reduced to about two diameters followed by a rapid decay of

    the centerline mean velocity.

    With previous studies when compared with the rectangular protrusion at

    the nozzle exit, it was soon recognized that a triangular tab with same

    base width worked just as well. Moreover, when the apex of the triangular

    tab was tilted downstream it appeared to work even better.

    Thats why here we have chosen the triangular protrusion in addition to

    that we have added 8 tabs for better reduction of noise.

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    CHAPTER 2

    LITERATURE SURVEY

    2.1EFFECT OF CHEVRON COUNT AND PENETRATION

    Experimental investigations (1) have been carried out on chevron

    nozzles to assess the importance of chevron parameters such as the

    number of chevrons (chevron count) and chevron penetration. Acoustic

    measurements such as overall sound pressure level, spectra, directivity,

    acoustic power, and broadband shock .Noise has been made over a

    range of nozzle pressure ratio from sub-critical to under expansion

    levels. Shadowgraph images of the shock-cell structure of jets from

    various chevron nozzles have also been captured for different nozzle

    pressure ratios. The results indicate that a higher chevron count with a

    lower Level of penetration yields the maximum noise suppression for

    low and medium nozzle pressure ratios. Of all the geometries studied,

    chevron nozzle with eight lobes and 0degree penetration angle gives

    the maximum noise reduction. Chevron nozzles are found to be free

    from screech unlike regular nozzles. Acoustic Power index has been

    calculated to quantitatively evaluate the performance of the various

    chevron nozzles. Chevron count is the pertinent parameter for noise

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    reduction at low nozzle pressure ratios, whereas at high nozzle pressure

    ratios, chevron penetration is crucial. The results illustrate that by

    careful selection of chevron parameters substantial noise reduction can

    be achieved.

    2.2 NUMERICAL PREDICTIONS OF NOISE IN

    NOZZLESWITH AND WITHOUT CHEVRONS

    Numerical simulations (2) of round, compressible, turbulent jets

    using the Shear Stress Transport (SST kx)model have been carried

    out. The three-dimensional calculations have been done on a

    tetrahedral mesh with 0.9 million cells. Two jets, one cold and hot,

    have been simulated. The Mach number for both the Cases is 0.75.

    Overall sound pressure levels (SPL) at far-field observer locations have

    been calculated using fowcs WilliamsHawkins equation. The

    numerical predictions have been compared with experimental results

    available in the literature. Axial and radial variation of the mean axial

    velocity and overall SPL levels are compared. The potential core

    length is predicted well, but the predicted centreline velocity decay is

    faster than the measured value. The URANS calculations are not able

    to predict the absolute values for the overall SPL, but predict the trends

    reasonably well. The calculations predict the trends and absolute values

    of the variations of the spectral amplitude well for the aft receivers, but

    not for the forward receivers. Effect of chevrons on the noise from the

    jet is also investigated for cold and hot jets. In each case, two chevron

    taper angles, namely, 0degree and 5degree are considered. The latter

    nozzle produces the most significant modification to the baseline

    spectra and is less effective at high frequencies in abating the noise.

    The present calculations predict a reduction in the overall SPL for the

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    chevron nozzle with 0degree taper angle and a slight increase for

    chevron nozzle with 5degree taper angle, for both cold and hot jets.

    2.3 LARGE-EDDY SIMULATION OF CHEVRON JET FLOWWITH NOISE PREDICTIONS

    Hybrid large-eddy(3) type simulations for chevron nozzle jet

    flows are performed at Mach 0.9 and Re = 1.03*10^6. Without using

    any sub grid scale model (SGS), the numerical approach applied in the

    Present study is essentially implicit large-eddy simulation (ILES).

    However, a Reynolds-averaged NavierStokes (RANS) solution is

    patched into the near wall region. This makes the overall solution

    strategy Hybrid RANSILES. The disparate turbulence length scales,

    implied by these different modelling Approaches are matched using a

    HamiltonJacobi equation. The complex geometry features of the

    chevron Nozzles are fully meshed. With numerical fidelity in mind,

    high quality, hexahedral multi-block Meshes of 12.5*10^6 cells are

    used. Despite the modest meshes, the novel RANSILES approach

    shows Encouraging performance. Computed mean and second-order

    fluctuating quantities of the turbulent near field compare favourably

    with measurements. The radiated far-field sound is predicted using the

    Ffowcs Williams and Hawkins (FWH) surface integral method.

    Encouraging agreement of the predicted far field sound directivity and

    spectra with measurements is obtained.

    Key purpose of this study is to highlight the penetration effects

    of chevrons. Hence, the most severe 18.2bend SMC006 nozzle is

    chosen as our primary focus. For comparative purposes the 5SMC001

    is also fully studied. To explore the altered chevron shear layer mixing

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    by the chevrons, the near nozzle instantaneous flow field is examined.

    Only the results for the much more strongly penetrating SMC006 are

    presented here gives computational snapshots of density Gradient

    magnitude or Numerical Schlieren on both cut planes In spite of

    some density variations within it, the potential core is clearly visible,

    its length being slightly shorter than 5D. Strong density Variations are

    located in the shear layer next to the potential Core. The outer edge of

    the shear layer can also be easily identified.

    The numerical simulation confirms the experiment with respect

    to the influence of chevron penetration. With a bend angle of 18.2,the

    potential core is shorter, downstream Reynolds stresses lower, but the

    sound source distribution wider in the side line direction. The

    characteristics of far-field sound for the 18.2 bend are therefore to the

    bend angle of 5. Namely, the more server bend has louder Side line but

    quieter downstream noise. It also increases the high-frequency sound

    intensity but decreases the low-frequency. This consistency of the

    current numerical study with measurements encouraging and

    suggesting a reliable numerical frame work has been developed.

    2.4 AN EXPERIMENTAL INVESTIGATION OF FLOW WITH

    A SINGLE DELTA TAB

    A single inverted(4) delta tab attached to the trailing edge of a

    splitter plate in a two-stream mixing layer has been examined

    experimentally using a three-component laser-Doppler anemometer.

    Detailed mean flow and turbulence measurements were obtained at a

    velocity ratio of 2:1 between the two co-flowing streams. The results

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    showed that, when the tab was tilted to the high-speed side, stream

    wise vortices generated and the subsequent mixing were stronger and

    more intense than when tilting it to the low-speed side. The strength of

    stream wise vorticity appeared to have a direct correlation with the

    level of turbulence generated in the cross-stream directions. Attempts

    were also made to quantify the effect of each (streamwise vorticity)

    production term in the streamwise vorticity transport equation.

    The effects of a single inverted delta tab in a two-stream mixing

    flow situation have been investigated using a three component laser-

    Doppler anemometer. The distortion in the streamwise mean velocity

    flow fields and the generation of the streamwise vorticity that resulted

    from the introduction of tab.

    The tab has been established via measurements of three mean velocity

    components and six Reynolds stress components in the present

    investigation. The results have clearly shown that when the tab is tilted

    to the high-speed side, it enhances mixing between the two streams

    better than when tilted on the side of the low-speed flow. When the tab

    is placed on the high-speed side, both sources for stream wise vorticity

    generation are operative. When the tab is placed on the low-speed side,

    only source 2 is operative. This observation suggests that the

    production of turbulence in the lateral directions is strongly associated

    with stream wise vorticity and that the imbalance of production and

    dissipation leads to significant diffusion in the stations further

    downstream.

    2.5 CHARACTERISTICS OF SONIC JETS WITH TABS

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    The result of an experimental investigation(5) on the effect of

    vortex generation in the form of a mechanical tab placed at the nozzle

    exit on the evolution of jet and its decay are reported in this paper. Jets

    from a sonic nozzle with and without tabs operated at nozzle pressure

    ratio from 2 to 7 were studied. Tabs with two combinations of length -

    to-width ratio were investigated by keeping the blockage area constant.

    The tabs offered a blockage of 10.18% of the nozzle exit area. The

    centreline pitot pressure decay shows that for the tabbed jet a

    maximum core reduction of about 75% can be achieved at a nozzle

    pressure ratio (NPR) 7 compared to an uncontrolled jet. So that the

    tabs drastically weaken the shock structure in the jet core and disperse

    the supersonic zone of the flow making them occupying a greater zone

    of the flow field compare to the plane nozzle. This causes the waves to

    become weaker and the jet to spread faster. The tabs are found to shed

    counter-rotating vortices all along the edges, resulting in enhanced

    mixing. Isobaric contours reveal that the streamwise vortices cause an

    inward indentation of the entrained mass into the jet core and an

    outward ejection of core flow. To understand the distortion introduced

    by tabs on the jet cross section and its growth leading to bifurcation of

    the jet, a surface coating visualization method was developed and

    employed.

    Vortex generators in the form of tabs have been found to be quite

    effective in influencing jet evolution and mixing. The tabs are found to

    be effective in bringing down the centreline pitot pressure oscillations

    for all nozzle pressure ratios. Shadow graph pictures reveal that the

    tabs diffuse the shocks, resulting in weaker shocks in the core region.

    Further, it is found that the tabs disperse the supersonic zone of the

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    flow field compared to the plane nozzle. The tab is found to generate a

    pair of counter-rotating vortices, which result in enhanced mixing.

    Isobaric contours reveal that generated stream wise vortices cause an

    inward indentation of entrained mass into jet core and an outward

    ejection of core flow. Surface visualization explains the distortion

    introduced by the tabs on the jet cross section. The distortion produced

    by the two tabs grows which downstream distance and result

    essentially in bifurcation of the jet. The tab length is found to be more

    effective in mixing enhancement then the width for the same blockage

    area and the limit for tab length are the nozzle radius and not the

    boundary layer thickness.

    2.6 EFFECT OF TAB ON MIXING CHARACTERISTICS OF

    SUBSONIC AND SONIC JETS

    The effect of tabs placed (6) at the exit of a circular nozzle of

    10mm diameter on the near flow field of the jet was investigated

    experimentally for subsonic mach numbers. The tab used was a hollow

    semi circular tube of diameter 1.5mm and length 2mm. The near jet

    flow field was studied for three configurations of the tab, namely, the

    concave surface facing the flow exiting nozzle (arc tab facing -in) and

    convex surface facing the flow (arc tab facing -out) for the blockage

    ratio of 7.64 %.the center line mach number decay shows that for the

    jet with arc tab facing in, a maximum reduction in core length of

    about 80% was achieved at all subsonic and sonic correctly expanded

    conditions of jet. Arc tab facing-out and rectangular tab configuration

    reduces the core length to about 50%. The decay of arc tab controlled

    jet was compared with that obtained for a plain rectangular tab of same

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    blockage and a plain circular nozzle. The jet was found to decay at a

    faster rate in the case of arc- tab facing in configuration as compared to

    the facing out and rectangular tab configurations. Mach number

    profiles show that the arc tab facing in distorts the jet efficiently by

    spreading the jet wider in the plane normal to the tab and the effect of

    spread is more pronounced in the jet with arc tab facing in as compared

    to the arc tab facing out. The effect of tab orientation and shape seem

    to have a profound influence on the development of the jet in the near

    field.

    Among the three configurations arc tab facing in was found to be

    more efficient in reducing the potential core length and distorting three

    jet structure compared to the other two configurations in all subsonic

    and sonic correctly expanded mach numbers .arc tab facing in is

    showing consistently better performance for all the mach numbers

    compared to other two configurations. It may be due to the fact that the

    arc tab facing in creates stronger pressure gradient shedding stronger

    stream wise vortices causing reduction in potential core and enhanced

    mixing.

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    CHAPTER 3

    COMPUTATIONAL WORK

    3.1 MODELLING

    Designing three dimensional nozzle with different configurations

    at exit we used CATIA modelling software which is flexible one anduser friendly.

    3.1.1 THREE DIMENSIONALMODELLING

    For this project, the model of nozzle has been created by using

    modelling software CATIA. Initially the sketch has been created

    with the given dimension, and at the exit the domain for the

    visualization of the potential core region has been designed with the

    respective dimensions.

    NOZZLE SPECIFICATIONS:

    Specifications Dimensions

    Length 30mm

    Inlet diameter 30mm

    Exit diameter 16mm

    Chevron length 5.44mm

    Wedge 3.08mm

    Table 3.1 Nozzle specifications

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    Fig 3.1 Two dimensional free jet nozzle

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    Fig 3.2Three dimensional free jet nozzle

    Fig 3.3 Drafted views of free jet nozzle

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    Fig 3.4 Chevron nozzle with 8 count

    Fig 3.5 Drafted views of chevron nozzle

    Fig 3.3 is the three dimensional diagram of nozzle with chevron. Todraw the nozzle with chevron follows the same as nozzle. After

    developing the free jet nozzle then draw chevron which seems like

    saw tooth. To draw chevron first choose the appropriate plane and

    go to sketcher. Then draw the chevron with correct dimensions for our

    specifications. After finishing sketch exit the sketcher. Then select the

    chevron and choose the pocket option to pocket the chevron. After

    pocketing the chevron choose the circular pattern in the transformation

    features. Thus the chevrons are created in the exit of nozzle with our

    dimensions and the chevron count is 8.

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    Fig 3.6 Chevron nozzle with wedge thickness 1mm

    Fig 3.7 Drafted view

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    Fig 3.8 Chevron nozzle with wedge thickness 2mm

    Fig 3.9 Drafted view

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    3.2PREPROCESSING

    ICEM CFX is the pre-processor tool used to mesh the model in

    order to get the accurate result.

    3.2.2THREE DIMENSIONAL MESHING

    Import the Three dimensional iges file or step file into the ICEM

    CFX. Then do any clean up operations if necessary. Then create the

    domain according to requirement which may be rectangular brick or

    cylinder for our convenient. The zone height is to be 5D to 10D and

    length to be 30D to 40D range or to be greater than that too. After

    creating the zone we place the domain at the exit of the nozzle by using

    copy option. We should unite the two volumes as a single volume

    .Then the domain can be decomposed according to the requirement.

    Then the mesh has been made with the size of 1 which can be reduced

    according to our requirement for better results.

    MESH TYPE

    Combination of Quadra and Hexa mesh for nozzle and for

    boundary domain tetra mesh type.

    3.2.3 CHEVRON NOZZLE WITH AND WITHOUT WEDGES

    In this follow the same as in above instead of uniting the

    volumes here subtract the volumes by using the subtract option i.e.,

    subtracting the nozzle from domain. After subtracting there will be one

    volume only. Before subtracting place the nozzle inside the domain for

    the convenience. Then mesh the faces using the face mesh operation by

    tria elements under pave scheme. We can mesh the edges of the

    volume and then do face and volume mesh if needed. In the edge mesh

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    select each edge of the volume and to give number of nodes in each

    edge based on the need. After finishing edge mesh then select the face

    mesh. In the face mesh we have to select each face and mesh. In the

    face mesh we may select the elements as QUAD or TRIA.After

    finishing the face mesh then go for the zones operation. In the Zones

    we have to select the INLET, OUTLET,WALL, AXIS, PRESSURE

    INLET, PRESSURE OUTLET, etc,. After applying the zones we may

    check the quality of the mesh by using quality operation. After

    finishing all above steps have to save the mesh and to export the mesh.

    3.2.4BOUNDARY CONDITIONS

    The below diagram illustrates the boundary conditions of 3dimensional

    models. In ICEM CFX select the pre-processor modules and feed the

    input for the respective Mach number.

    Fig 3.10boundary conditions

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    Fig 3.11 Three Dimensional free jet Mesh

    Fig 3.11 is the meshing model of base line nozzle. The meshing

    process for this model follows the above procedure with little variation.

    In which nozzle volume and zone volume are united to a single

    volume. Then this volume is meshed by using volume mesh operation

    using tetra and hex elements scheme and it contains 835710 elements.

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    Fig 3.12Chevron nozzle mesh

    Fig 3.12 is the meshing model of chevron nozzle. The meshing

    process for this model follows the above procedure with little variation.

    In which nozzle volume and zone volume are subtracted to a single

    volume. Then this volume is meshed by using volume mesh operation

    using tetrahedral elements under and it contains 363094 elements.

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    Fig 3.13 Chevron nozzle with wedge thickness1mm mesh

    Fig 3.13 is the meshing model of base line nozzle. The meshing

    process for this model follows the above procedure with little variation.

    In which nozzle volume and zone volume are subtracted to a single

    volume. Then this volume is meshed by using volume mesh operation

    using tetrahedral (boundary) & hex(nozzle) elements under scheme and

    it contains 453731 elements.

    Fig 3.14 Chevron nozzle with wedge thickness 2mm mesh

    The above meshing model contains 456208 tetrahedral elements

    and meshing under scheme. The procedure is same as for the previous

    one.

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    3.3SOLVER

    ICEM CFX has a post processor or analyzing software used to

    simulate the model for their application.

    3.3.1STEPS TO SOLVE

    After finishing the pre-processor and then have to import our

    meshed model into the software by read the case file such as mesh file.

    After reading the case file have to check the grid and zones. Then go to

    define select the model and select the solver. Then click the viscous

    model and select the appropriate viscous model for your problem. Here

    we selected k-omega (used for turbulent analysis).

    Then click materials in define option and change the material to

    ideal gas and click ok. Then click operating condition and give the

    operating condition value in Pascal or any other unit. Then click

    Boundary conditions and give the pressure values for boundary

    conditions such as pressure inlet, pressure outlet, pressure far field, etc,

    Then go to solve select initialize and select initialize in which select the

    inlet condition and click apply. Then go to monitors in solve and select

    residual and click ok for print and plot.

    After finishing all above steps click iterate in solve and give

    value for number of iterations and start the iteration. After the solution

    is converged and iteration will stop and we see the results. Go to the

    display menu select the contours and select which one to display such

    as velocity, pressure, etc, and click display and the contour will display

    in different colours for variations of values. We can also see the XY

    plot for velocity, pressure, etc, by selecting plot menu and select XY

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    plane and select pressure ,velocity ,etc,. Thus the meshed model is

    analyzed using CFX following the above procedure.

    3.3.2FORMULA TO FIND THE TOTAL PRESSURE

    PO/P M2)/-1

    P= 101325 Pascal

    PO/P 0.42

    )1.4/1.4-1

    PO= 113134.6279 Pascal

    3.3.3 BOUNDARY CONDTION PRESSURE VALUES

    Mach number Total pressure

    (pascal)

    Gauge pressure

    (pascal)

    Operating

    pressure

    (pascal)

    0.4 113134.6279 101325 0

    0.6 129240.4201 101325 0

    0.8 154453.7514 101325 0

    Table 3.2 Boundary conditions pressure values

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    CHAPTER 4

    RESULT AND DISCUSSION

    Potential core region in the subsonic flow is the region where thecenter line velocity is same as the velocity at the exit of the nozzle. The

    Mach number along the center line was calculated from the total

    pressure and static pressure. The static pressure across the jet is

    assumed to be the same as the surrounding ambient pressure. The

    assumption is perfectly valid for subsonic jets.

    In this chapter we are discussed about the centreline mach

    number decay for chevron, chevron with 1mm wedge and chevron with

    2mm wedge. Here we plot dimensional and non-dimensional graphs

    for all subsonic mach number for all configuration. The plots are

    obtained from the post processor ICEM CFX. We discussed and

    compared the results of center line Mach number decay for all subsonic

    mach number to each configurations.

    Streamwise vortices are generated when wedges and chevron are

    introduced at the exit of the nozzle. They act as effective mixing

    promoters and enhance the jet mixing. These faster mixing results in

    rapid jet decay of chevron with wedge compared to a jet from a plane

    nozzle. The chevron increase vortices in the exit nozzle along with

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    wedges also induce vortices and increase the jet mixing and help to

    reduce the potential core.

    The contour plot obtained from the CFD is dimensional and

    convert it in to non dimensional by excel. The graph is plotted between

    X/Dj and M/Mj. The length of the potential core is divided by the exit

    diameter and Mach number is divided by the jet Mach number. Both in

    dimensional and non dimensional plot we can view the Mach number

    decay clearly.

    4.1 EFFECT OF CENTER LINE MACH NUMBER FOR FREE

    JET

    Fig 4.1Mach number plot for free jet M= 0.4

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    Fig 4.2Centerline Mach number decay of free jet

    The above graph shows the centerline Mach number decay for

    the Mach number 0.4 and is plotted between X/Dj and M/Mj. Here the

    potential core decays at 5.5D.

    Fig 4.3Mach number plot for free jet M= 0.6

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    Fig4.4Centerline Mach number decay of free jet

    The above graph shows the centerline Mach number decay for

    the Mach number 0.6 and is plotted between X/Dj and M/Mj. Here the

    potential core decays at 5.81D. When comparing with 0.4 Mach

    number of free jet the potential core length is high.

    Fig 4.5Mach number plot for free jet M= 0.8

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    Fig 4.6Centerline Mach number decay of free jet

    The above graph shows the center line Mach number decay for

    the Mach number 0.8 and is plotted between X/Dj and M/Mj. Here the

    potential core decays at 6.12D. When comparing with 0.4 and 0.6

    Mach number of free jet the potential core length is high.

    4.2 CENTER LINE MACH NUMBER DECAY OF CHEVRON

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    Fig 4.7Mach number plot for chevron M= 0.4

    Fig 4.8Centerline Mach number decay of chevron

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle for the Mach number

    0.4. The potential core decay starts from 3.88D. When comparing with

    0.4 Mach number of free jet the potential core length is 30 % reduced.

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    Fig 4.9Mach number plot for chevron M= 0.6

    Fig 4.10Centerline Mach number decay of chevron

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle for the Mach number

    0.6. The potential core decay starts from 3.93D. When comparing with

    0.6 Mach number of free jet the potential core length is 33 % reduced.

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    Fig 4.11Mach number plot for chevron M= 0.8

    Fig 4.12Centerline Mach number decay of chevron

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle for the Mach number

    0.8. The potential core decay starts from 3.93D. When comparing with

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    0.8 Mach number of free jet the potential core length is 36 % reduced.

    4.3 CENTER LINE MACH NUMBER DECAY OF CHEVRON

    WITH WEDGE

    Fig 4.13Mach number plot for chevron with wedge thickness 1mm

    M= 0.4

    Fig 4.14Centerline Mach number decay of chevron with

    wedge1mm

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle with 1mm wedge

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    thickness for the Mach number 0.4. The potential core decay starts

    from 3.17D. When comparing with 0.4 Mach number of free jet and

    chevron the potential core length is reduced to 42 % and 18%

    respectively.

    Fig 4.15Mach number plot for wedge thickness1mm M= 0.6

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    Fig 4.16Centerline Mach number decay of chevron with wedge

    1mm

    The above graph is plotted between M/Mj and X/Dj for the

    chevron nozzle with 1mm Wedge thickness for the Mach number 0.6.

    The potential core decay starts from 3.05D. When comparing with 0.6

    Mach number of free jet and chevron the potential core length is

    reduced to 47 % and 22% respectively.

    Fig 4.17Mach number plot for wedge thickness1mm M= 0.8

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    Fig 4.18Centerline Mach number decay of chevron with wedge

    1mm

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle with 1mm Wedge

    thickness for the Mach number 0.8. The potential core decay starts

    from 3.05D. When comparing with 0.8 Mach number of free jet and

    chevron the potential core length is reduced to 50% and 22%

    respectively.

    Fig 4.19Mach number plot for wedge thickness 2mm M= 0.4

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    Fig 4.20Centerline Mach number decay of chevron with wedge

    2mm

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle with 2mm Wedge

    thicknessfor the Mach number 0.4. The potential core decay starts from

    2.0D. When comparing with 0.4 Mach number of free jet and chevron

    and Wedgewith 1mmthickness the potential core length is reduced to

    63%, 48% and 40% respectively.

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    Fig 4.21Mach number plot for wedge thickness 2mm M= 0.6

    Fig 4.22Centerline Mach number decay of chevron with wedge

    2mm

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle with 2mm Wedgethickness for the Mach number 0.6. The potential core decay starts

    from 2.0D. When comparing with 0.6 Mach number of free jet and

    chevron and Wedge with 1mmthickness the potential core length is

    reduced to 65%, 49% and 34% respectively.

    Fig 4.23Mach number plot for wedge thickness 2mm M= 0.8

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    Fig 4.24Centerline Mach number decay of chevron with wedge

    2mm

    The above centerline Mach number decay graph is plotted

    between M/Mj and X/Dj for the chevron nozzle with 2mm Wedge

    thickness for the Mach number 0.8. The potential core decay starts

    from 2.0D. When comparing with 0.8 Mach number of free jet and

    chevron and Wedge with 1mmthickness the potential core length is

    reduced to 67%, 49% and 34% respectively.

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    CHAPTER 5

    CONSTRAINTS AND RECTIFICATION

    To evaluate the Reduction in noise we need experimental setupbut we have preceded in such a way that if there is a reduction in

    pressure, noise will reduce.

    CONCLUSION

    The Wedges and chevrons were used in the presents study,

    namely chevron, chevron with 1mm wedge thickness, chevron with

    2mm Wedge thickness were found to be effective in distorting the jet

    structure. From the figure 5.1, fig 5.2, fig 5.3 among the three

    configurations, chevron with 2mm Wedge was found to be more

    efficient in reducing the potential core length and distorting the jet

    structure compared to the other two configurations in all subsonic

    mach numbers. From the above figures, Nozzle with the chevron with

    2mm Wedge , the maximum core length reduction achieved was 67 %

    of uncontrolled jet , followed by rapid decay of jet center line mach

    number, where the chevron with 1 mm Wedge reduce the core length

    to 50 % and chevron reduce the core length to 40 % at all subsonic

    mach numbers. Chevron with 2 mm Wedge is showing consistently

    better performance for all mach numbers compare to other two

    configurations. It may due to that fact the chevron with 2mm Wedge

    creates stronger pressure gradient shedding stronger streamwise

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    vortices causing reduction in potential core and enhanced mixing.

    Mach number profiles at different X/D locations shows the chevron

    with 2mm Wedge is more effective spreading of the jet normal to the

    wedge compare to other two configurations.

    Chevron technology has provided a modest relief. Unfortunately,

    a complete understanding of jet noise mechanisms is still not in our

    grasp. The insight of fundamental experiments coupled with

    application of CFD allowed the development of the subject

    technology with tools slightly better than cut-and-try. Hope forfurther control and reduction of jet noise hinges on advancement of

    our understanding of the relevant mechanisms.

    Fig 5.1 Comparison of Centerline Mach number decay

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    Fig 5.2 Comparison of Centerline Mach number decay

    Fig 5.3 Comparison of Centerline Mach number decay

    COMPARISON OF POTENTIAL CORE LENGTH

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    MACH

    NO

    FREE JET CHEVRON WEDGE 1mm WEDGE 2mm

    0.4 5.50D 3.88D 3.17D 2.00D

    0.6 5.81D 3.93D 3.05D 2.00D

    0.8 6.12D 3.93D 3.05D 2.00D

    Table 5.1Comparison of potential core length

    CHAPTER6REFERENCES

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    aerospace science andtechnology.Aerospace Science andTechnologyVolume 12, Issue 1, January 2008, Pages 117

    2. Hao Xia, Paul G. Tucker, Simon Eastwood, Large-eddysimulations of chevron jet flows with noise predictions,

    International Journal of Heat and Fluid Flow. InternationalJournal of Heat and Fluid Flow,Volume 30,Issue6 December

    2009, Pages 1067-1079

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    3. M.L. Shur, P.R. Spalart, M.Kh. Strelets, A.K. Travin, Towardsthe prediction of noise from jet engines,: International

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    2003 , pp. 551-561(11) Publisher: Elsevier

    4. P.S. Tide, K. Srinivasan, Effect of chevron count and penetrationon the acoustic characteristics of chevron nozzles.2009.08.010.Applied Acoustics, Volume 71, Issue 3, March 2010, Pages 201-

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    5. P.S. Tide, V. Babu, Numerical predictions of noise due tosubsonic jets from nozzles with and without

    chevrons.j.apacoust.2008.03.006. Applied Acoustics, Volume70, Issue 2, February 2009, Pages 321-332

    6. S.C.M. Yu, P.K. Koh, L.P. Chua, An experimental investigationof two-stream mixing flow with a single delta tab. International

    Journal of Heat and Fluid Flow. International Journal of Heat

    and Fluid Flow, Volume 22,

    Issue 1, February 2001, Pages 62-71

    7. Shibu Clement, E.Rathakrishnan, Characteristics of sonic jetswith tabs.

    July 2006, Volume 15, Issue 3-4, pp 219-227

    8. S.Thanigaiarasu, S. Elangovan, E.Rathakrishnan, Effect of tabon mixing characteristics of subsonic and sonic jets International

    Review of Aerospace Engineering;Feb2010, Vol. 3 Issue 1, p1

    9. S. Lardeau, E. Collin, E. Lamballais, J.P. Bonnet, Analysis of ajet mixing layer interaction, International Journal of Heat and

    Fluid Flow.International Conference on Engineering TurbulenceModelling and Measurements Volume 24, Issue 4, August 2003,

    Pages 520528

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    10. You-Hong Liu, Experimental and numerical investigation ofcircularly lobed nozzle with/without central plug, International

    journal of heat and mass transfer 45(2002) 2577-2585. Publisher:

    Elsevier