applications of computational fluid dynamics in hydraulics

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    APPLICATIONS OF COMPUTATIONAL

    FLUID DYNAMICS IN HYDRAULICS

    ADITYA KARAN

    ABHIJEET SAVANT

    TEJAS SHINDE

    NINAD PRABHUNE

    Guided By :

    Prof. G.A. Hinge

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    COMPUTATIONAL FLUID DYANAMICS

    Computational fluid dynamics/CFD, is a branch of fluid

    mechanics that uses numerical methods and algorithms to

    solve and analyze problems that involve fluid flows.

    Complicated geometry.

    Equations in fluids can be complex.

    Thus use of computers as a computational tool.

    Gambit is used to create the geometries and the

    computational grid for the problem. Fluent ,a finite volume solver, is used to solve the discrete

    RANS equations.

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    Applications of CFD

    Used in solving different hydraulic problems .

    Used in aerodynamic study .

    Used in sports. Used in designing air conditioning systems .

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    METHODOLOGY FOR SOLVING A PROBLEM

    IN CFD

    DEFINE GEOMETRY.

    MESHING.

    SET BOUNDARY CONDITIONS. SET INITIAL CONDITIONS.

    SIMULATION.

    POST PROCESSOR.

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    In an incompressible fluid the conservation of mass implies

    that an equal volume must flow through each location.

    HYDRAULICS BASICS

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    Work done to move fluid from area1 to area 2

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    The mass in each section is given by-

    So the net work to raise the fluid from area 1 to

    area 2 is

    Change in the kinetic energy of the fluid is equal to the work done onthe fluid- conservation of energy

    BERNOULLIS THEOREM

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    CALIBRATION OF VENTURIMETER

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    ABOUT VENTURI METER

    The Venturi meter was invented by the Italian GiovanniVenturi in 1797.

    To measure the volumetric flow rate of fluids.

    GEOMETRY-Venturi meter there is first a convergingsection.

    Then there is a short section at the reduced diameter,known as the throat of the meter.

    Then there is a diverging section in which the crosssectional area for flow is gradually increased to theoriginal diameter.

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    Venturi meter details(FM Lab)

    Inlet Diameter= 2.5cm

    Throat diameter= 1.6cm

    Inlet diameter= outlet diameter Length of inlet pipe=50cm

    Length of convergent section=3.5cm

    Length of divergent section=6.5cm

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    Formulae For Calculating Discharge

    C = a1a2(2g) / (a1-a2)

    a1 = Area at inlet pipe.

    a2 = Area at throat section. C= Coefficient of venturi meter.

    Qth= CH

    Qth = Theoretical Discharge. H= Difference in venturi head.

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    Qact= C.CdH

    Qact=Cd Qth

    Cd= Coefficient of discharge.

    C= 9.75 10-4

    * Cd is introduced in the equation because to

    take loss of energy into account.

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    Comparison between lab and fluent resultsH Lab (cm) H Fluent (cm) Cdlab CdFluent

    30 29.1 0.93 0.923

    22.1 20.90 0.92 0.9243

    9.6 13.63 0.93 0.9250

    5.0 5.8 0.92 0.9420

    4.0 3.59 0.89 0.8980

    1.80 1.96 0.90 0.8790

    H = Difference in Venturi Head Cd= Coefficient of discharge of venturimeter

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    Geometry and Meshing

    Figure showing grid and geometry of venturi meter

    Meshing size- 0.01cm resolution

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    Different Cases

    Case1- discharge=0.412lps (contours of velocity and pressure)

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    Case 2- discharge= 0.33lps

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    Case 3- discharge= 0.219lps

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    Case 4- discharge=0.166lps

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    Case 5- discharge=0.12lps

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    APPLICATION OF VENTURIMETER

    It is used to calculate the velocity and flow

    rate of fluids in running through a pipeline.

    Used in-

    Plumbing- in waste water treatment plant.

    Chemical industries- crude oil pipelines.

    Carburetors- to control the inflow of air. Medical fields- to measure the flow of blood.

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    Inference till date

    The Avg. Cd found to be was 0.923 but the

    theoretical value of the Cd is usually taken as

    0.98.

    So, we need to optimise the design of the

    venturi meter.

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    Objectives

    Learning CFD (completed)

    Simulation of Venturi meter. ( completed)

    Calibration of venturi meter (completed ) Optimisation of venturi meter. (Still working)

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    Future Plans

    To calibrate different types of flow meters in

    CFD .

    To simulate and analyse different problems in

    hydraulics in CFD .

    To explore the innovative world of

    computational fluid dynamics in CIVIL

    ENGINEERING

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    Problems Suffered

    Due to absence of actual hardware

    requirements the project suffered a set back.

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    REFERENCES

    "ANSYS FLUENT Flow Modeling Software." Welcome to ANSYS, Inc. -Corporate Homepage. Web. 4 Sept. 2009..

    "A Brief History of Computational Fluid Dynamics (CFD) from Fluent." CFDFlow Modeling Software & Solutions from Fluent. Web. 18 Oct. 2009..

    "Reynolds Number." Engineering ToolBox. Web. 9 Nov. 2009..

    "Reynolds Number." NASA - Title...Web. 03 Dec. 2009.. 26

    Computational Fluid Dyanmics By Anderson.

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