pipe design.ppt

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DESIGN OF PIPINGS & DESIGN OF PIPINGS & PIPING NETWORKS PIPING NETWORKS PRESENTED BY PRESENTED BY : : GAUTAM AHUJA(1207535) GAUTAM AHUJA(1207535) CHEMICAL,3 CHEMICAL,3 rd rd Year Year

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Pipe designing

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Page 1: Pipe Design.ppt

DESIGN OF PIPINGS & DESIGN OF PIPINGS & PIPING NETWORKSPIPING NETWORKS

PRESENTED BYPRESENTED BY: :

GAUTAM AHUJA(1207535) GAUTAM AHUJA(1207535)

CHEMICAL,3CHEMICAL,3rdrd Year Year

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WHAT IS PIPING & INSTRUMENTATIONWHAT IS PIPING & INSTRUMENTATION??

Piping is the physical elements that interconnect the equipment and Piping is the physical elements that interconnect the equipment and in which the process streams flow. Piping comes in different sizes in which the process streams flow. Piping comes in different sizes and materials. It is the duty of the process engineer to specify the and materials. It is the duty of the process engineer to specify the size and materials of the piping and also the thermal insulation, if size and materials of the piping and also the thermal insulation, if required. The term piping also includes accessories such as elbows, required. The term piping also includes accessories such as elbows, tees, valves, flanges, etc. The most common material is carbon tees, valves, flanges, etc. The most common material is carbon steel. Other metals, such as various grades of stainless steel, and steel. Other metals, such as various grades of stainless steel, and plastic materials, such as PVC, Teflon, are also used.plastic materials, such as PVC, Teflon, are also used.

Instrumentation is devices used to measure, control and monitor the Instrumentation is devices used to measure, control and monitor the process variables. These variables can be flow, temperature, process variables. These variables can be flow, temperature, pressure, liquid level, viscosity, and others. Control valves and relief pressure, liquid level, viscosity, and others. Control valves and relief valves are also an important part of the instrumentation. valves are also an important part of the instrumentation.

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PIPING & INSTRUMENTATION DIAGRAM:-PIPING & INSTRUMENTATION DIAGRAM:-P&ID shows all of piping including the physical sequence of P&ID shows all of piping including the physical sequence of branches, reducers, valves, equipment, instrumentation. The P&ID branches, reducers, valves, equipment, instrumentation. The P&ID are used to operate the process system.are used to operate the process system.

AA P&ID should include:-P&ID should include:-• Instrumentation and designations • Mechanical equipment with names and numbers • All valves and their identifications • Process piping, sizes and identification • Miscellaneous - vents, drains, special fittings, sampling lines. • Permanent start-up and flush lines • Flow directions • Interconnections references • Control inputs and outputs• Interfaces for class changes • Vendor and contractor interfaces • Identification of components and subsystems delivered by others • Intended physical sequence of the equipment

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GENERAL DESIGN CONSIDERATIONSGENERAL DESIGN CONSIDERATIONS:-:-

Materials of construction.Materials of construction.

Design pressure.Design pressure.

Pipe sizing.Pipe sizing.

Pressure drop analysis.Pressure drop analysis.

Stress analysis.Stress analysis.

Pipe identification.Pipe identification.

Piping supports.Piping supports.

Flushing & Testing.Flushing & Testing.

Pipe networking.Pipe networking.

Pipe fittings.Pipe fittings.

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MATERIALS OF CONSTRUCTION:-MATERIALS OF CONSTRUCTION:- Most failures of liquid process systems occur at or within interconnect

points - the piping, flanges, valves, fittings, etc. It is, therefore, vital to select interconnecting equipment and materials that are compatible with each other and the expected environment. Materials selection is an optimization process, and the material selected for an application must be chosen for the sum of its properties. Considerations include cost and availability. Key evaluation factors are strength, ductility, toughness, and corrosion resistance.

A) STRENGTH -The strength of a material is defined using the following properties: modulus of elasticity, yield strength, and ultimate tensile strength.

The modulus of elasticity is the ratio of normal stress to the corresponding strain for either tensile or compressive stresses. Where the ratio is linear through a range of stress, the material is elastic; that is, the material will return to its original, unstressed shape once the applied load is removed. If the material is loaded beyond the elastic range, it will begin to deform in a plastic manner. The stress at that deformation point is the yield strength. As the load is increased beyond the yield strength, its cross-sectional area will decrease until the point at which the material cannot handle any further load increase. The ultimate tensile strength is that load divided by the original cross-sectional area.

B) DUCTILITY -Ductility is commonly measured by either the elongation in a given length or by the reduction in cross-sectional area when subjected to an applied load. The hardness of a material is a measure of its ability to resist deformation. Hardness is often measured by either of two standard

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scales, Brinell and Rockwell hardness.

C) TOUGHNESS -The toughness of a material is dependent upon both strength and ductility. Toughness is the capability of a material to resist

brittle fracture (the sudden fracture of materials when a load is rapidly applied, typically with little ductility in the area of the fracture).

D) CORROSION RESISTANCE –Corrosion is the wearing away of metals due to a chemical reaction. Many structural alloys corrode merely from exposure to moisture in the air, but the process can be strongly affected by exposure to certain substances. Some metals are more intrinsically resistant to corrosion than others, either due to the fundamental nature of the electrochemical processes involved. Carbon steel & stainless steel are excellent corrosion resistant materials.

E) SELECTION PROCESS -Piping material is selected by optimizing the basis of design. First, eliminate from consideration those piping materials that:

are not allowed by code or standard; are not chemically compatible with the fluid; have system rated pressure or temperatures that do not meet the full range

of process operating conditions; and are not compatible with environmental conditions such as external corrosion

potential, heat tracing requirements,ultraviolet degradation, impact potential and specific joint requirements.

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DESIGN PRESSURE:-DESIGN PRESSURE:- After the piping system’s functions, service conditions, materials of

construction and design codes and standards have been established, the next step is to finalize the system operational pressures and temperatures. At this point in the detail design of the piping system, it is necessary to ensure the structural integrity of the pipe and piping system components is maintained during both normal and upset pressure and temperature conditions. In order to select the design pressure and temperature, it is necessary to have a full understanding and description of all operating processes & control system functions. The pressure rating of a piping system is determined by identifying the maximum steady state pressure and determining & allowing for pressure transients.

A) MAXIMUM STEADY STATE PRESSURE -The determination of maximum steady state design pressure and temperature is based on an evaluation of specific operating conditions. The evaluation of conditions must consider all modes of operation. This is typically accomplished utilizing design references, codes and standards. Piping components shall be designed for an internal pressure representing the most severe condition of coincident pressure & temperature expected in normal operation.

B) PRESSURE TRANSIENTS -Occasional variations of pressure or temperature, or both, above operating levels are characteristic of certain services. The most severe conditions of coincident pressure and temperature during the variation shall be used to determine the design

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conditions unless all of the following criteria are met :-• The piping system shall have no pressure containing components of cast

iron or other non ductile metal.• Nominal pressure stresses shall not exceed the yield strength at

temperature.• Combined longitudinal stress shall not exceed the

limits established.• In no case shall the increased pressure exceed the test pressure used.• The application of pressures exceeding pressure temperature

ratings of valves may under certain conditions cause loss of seat tightness or difficulty of operation. The differential pressure on the valve closure element should not exceed the maximum differential pressure rating established by the valve manufacturer. Such applications are the owner's responsibility.

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SIZING:-SIZING:- The sizing for any piping system consists of two basic components:-1) FLUID FLOW DESIGN – It determines the minimum acceptable diameter of

the piping necessary to transfer the fluid efficiently. The primary elements in determining the minimum acceptable diameter of any pipe network are system’s:

Design flow rates Pressure drops The design flow rates are based on system demands that are normally

established in the process design phase of a project. Before the determination of the minimum inside diameter can be made, service conditions must be reviewed to determine operational requirements such as recommended fluid velocity for the application and liquid characteristics such as viscosity, temperature, suspended solids concentration, solids density and settling velocity, abrasiveness and corrosivity. This information is then used to determine the minimum inside diameter of the pipe for the network.

For normal liquid service applications, the acceptable velocity in pipes is 2.1 ± 0.9 m/s with a maximum velocity limited to 2.1 m/s at piping discharge points including pump suction lines and drains. In addition, other applications may allow greater velocities based on general industry practices; e.g., boiler feed water and petroleum liquids.

Pressure drops throughout the piping network are designed to provide an optimum balance between the installed cost of the piping system and operating costs of the system pumps.

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Pressure drop, or head loss, is caused by friction between the pipe wall and the fluid, and by minor losses such as flow obstructions, changes in direction, changes in flow area, etc. Fluid head loss is added to elevation changes to determine pump requirements.

DARCY-WEISBACH EQUATION: P = f . L/D . K . V2 /2gwhere; P= Pressure drop f = Darcy friction factor L = Length of pipe D= Inside pipe dia K= Loss coefficients for minor losses V= Fluid velocity g= Gravitational acceleration The friction factor, f, is a function of the relative roughness of the piping

material and the Reynolds number, Re .

If the flow is laminar (Re < 2,100), then f is determined by:- f = 64/ Re

If the flow is transitional or turbulent (Re > 2,100), then f is determined from the Moody Diagram.

PRESSURE DROP CALCULATIONS:-PRESSURE DROP CALCULATIONS:-

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2) 2) PRESSURE INTEGRITY DESIGNPRESSURE INTEGRITY DESIGN - Once the system’s operating conditions - Once the system’s operating conditions have been established, the minimum wall thickness is determined based on have been established, the minimum wall thickness is determined based on the pressure integrity requirements. The design process for consideration of the pressure integrity requirements. The design process for consideration of pressure integrity uses allowable stresses, thickness allowances based on pressure integrity uses allowable stresses, thickness allowances based on system requirements to determine minimum wall thickness.system requirements to determine minimum wall thickness.

Allowable stress values for metallic pipe materials are generally contained in Allowable stress values for metallic pipe materials are generally contained in applicable design codes. The codes must be utilized to determine the applicable design codes. The codes must be utilized to determine the allowable stress based on the requirements of the application and the allowable stress based on the requirements of the application and the material to be specified.material to be specified.

After the allowable stress has been established for the application, the After the allowable stress has been established for the application, the minimum pipe wall thickness required for pressure integrity is determined as minimum pipe wall thickness required for pressure integrity is determined as follows:-follows:-

ttmm = t . A= t . A

Where; Where; ttm m = Total minimum wall thickness required for pressure integrity.= Total minimum wall thickness required for pressure integrity.

t = Pressure design thickness.t = Pressure design thickness. A = sum of mechanical allowances plus corrosion allowance plus A = sum of mechanical allowances plus corrosion allowance plus erosion allowance. erosion allowance. Using information on liquid characteristics, the amount of corrosion and Using information on liquid characteristics, the amount of corrosion and

erosion allowance necessary for various materials of construction can be erosion allowance necessary for various materials of construction can be determined to ensure reasonable service life.determined to ensure reasonable service life.

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and; t = P. Dand; t = P. D00 // 2 (S.E - P.y) 2 (S.E - P.y)

Where; P = Design pressureWhere; P = Design pressure

DD0 0 = Outside pipe dia= Outside pipe dia

S = Allowable stressS = Allowable stress

E E = Weld joint efficiency or quality factor= Weld joint efficiency or quality factor

y = Dimensionless constant which varies with temperature.y = Dimensionless constant which varies with temperature.

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STRESS ANALYSIS STRESS ANALYSIS :-:- After piping materials, design pressure and sizes have been selected, a stress After piping materials, design pressure and sizes have been selected, a stress

analysis is performed that relates the selected piping system to the piping layout and analysis is performed that relates the selected piping system to the piping layout and piping supports. The analysis ensures that the piping system meets intended service piping supports. The analysis ensures that the piping system meets intended service and loading condition requirements while optimizing the layout and support design. and loading condition requirements while optimizing the layout and support design. The analysis may result in successive reiterations until a balance is struck between The analysis may result in successive reiterations until a balance is struck between stresses and layout efficiency, and stresses and support locations and types. It stresses and layout efficiency, and stresses and support locations and types. It requires the analysis of following 3 stress limits :-requires the analysis of following 3 stress limits :-

1) 1) Stresses due to Sustained LoadsStresses due to Sustained Loads -The stress analysis for sustained loads includes -The stress analysis for sustained loads includes internal pressure stresses, external pressure stresses and longitudinal stresses. The internal pressure stresses, external pressure stresses and longitudinal stresses. The sum of the longitudinal stresses in the piping system that result from pressure, weight sum of the longitudinal stresses in the piping system that result from pressure, weight and any other sustained loads do not exceed the basic allowable stress at the and any other sustained loads do not exceed the basic allowable stress at the maximum metal temperature. The longitudinal stress from pressure is determined maximum metal temperature. The longitudinal stress from pressure is determined by:-by:-

SSLL = P. D = P. D00 / 4.t / 4.t

where; Swhere; SL L = Longitudinal stress.= Longitudinal stress.2) 2) Stresses due to Displacement StrainsStresses due to Displacement Strains -Constraint of piping displacements -Constraint of piping displacements

resulting from thermal expansion, seismic activities or piping support and terminal resulting from thermal expansion, seismic activities or piping support and terminal movements cause local stress conditions. These localized conditions can cause movements cause local stress conditions. These localized conditions can cause failure of piping or supports from fatigue or over-stress, leakage at joints or failure of piping or supports from fatigue or over-stress, leakage at joints or distortions. To ensure that piping systems have sufficient flexibility to prevent these distortions. To ensure that piping systems have sufficient flexibility to prevent these failures, it requires that the displacement stress range does not exceed the allowable failures, it requires that the displacement stress range does not exceed the allowable displacement stress range.displacement stress range.

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3) 3) Stresses due to Occasional LoadsStresses due to Occasional Loads -The sum of the longitudinal stresses due to both -The sum of the longitudinal stresses due to both sustained and occasional loads does not exceed 1.33 times the basic allowable stress sustained and occasional loads does not exceed 1.33 times the basic allowable stress at maximum material temperature.at maximum material temperature.

SSL L = 1.33 S= 1.33 Shh

where; Swhere; Sh h = Basic allowable stress at maximum material temperature.= Basic allowable stress at maximum material temperature.

PIPE IDENTIFICATIONPIPE IDENTIFICATION :- :- Pipes in exposed areas and in accessible pipe spaces shall be provided with color Pipes in exposed areas and in accessible pipe spaces shall be provided with color

band and titles adjacent to all valves on straight pipe runs, adjacent to directional band and titles adjacent to all valves on straight pipe runs, adjacent to directional changes, and on both sides where pipes pass through wall or floors. The three main changes, and on both sides where pipes pass through wall or floors. The three main classifications are:- classifications are:-

• Materials inherently hazardousMaterials inherently hazardous - All materials inherently hazardous (flammable or - All materials inherently hazardous (flammable or explosive, chemically active or toxic, extreme temperatures or pressures, or explosive, chemically active or toxic, extreme temperatures or pressures, or radioactive) shall have yellow coloring or bands, and blackradioactive) shall have yellow coloring or bands, and black

legend lettering.legend lettering. • Materials of inherently low hazardMaterials of inherently low hazard - All materials of inherently low hazard (liquid or - All materials of inherently low hazard (liquid or

liquid admixtures) shall have green coloring or bands, and white legend lettering.liquid admixtures) shall have green coloring or bands, and white legend lettering. • Fire-quenching materialsFire-quenching materials - Fire-quenching materials shall be red with white legend - Fire-quenching materials shall be red with white legend

lettering. lettering.

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PIPING SUPPORTSPIPING SUPPORTS :- :- Careful design of piping support systems of above grade piping systems is Careful design of piping support systems of above grade piping systems is

necessary to prevent failures. The objective of the design of support necessary to prevent failures. The objective of the design of support systems for liquid process piping systems is to prevent sagging and systems for liquid process piping systems is to prevent sagging and damage to pipe and fittings. The design of the support systems includes damage to pipe and fittings. The design of the support systems includes selection of support type and proper location and spacing of supports. selection of support type and proper location and spacing of supports. Support type selection and spacing can be affected by seismic zone.Support type selection and spacing can be affected by seismic zone.

a) a) SUPPORT LOCATIONSSUPPORT LOCATIONS - The locations of piping supports are dependent - The locations of piping supports are dependent upon four factors:- upon four factors:-

1) 1) PIPEPIPE SIZESIZE -It relates to the maximum allowable span between pipe -It relates to the maximum allowable span between pipe supports. Span is a function of the weight that the supports must carry. As supports. Span is a function of the weight that the supports must carry. As pipe size increases, the weight of the pipe also increases. The amount of pipe size increases, the weight of the pipe also increases. The amount of fluid which the pipe can carry increases as well, thereby increasing the fluid which the pipe can carry increases as well, thereby increasing the weight per unit length of pipe. weight per unit length of pipe.

2) 2) PIPING CONFIGURATIONPIPING CONFIGURATION -The configuration of the piping system affects -The configuration of the piping system affects the location of pipe supports. Where practical, a support should be located the location of pipe supports. Where practical, a support should be located adjacent to directional changes of piping.adjacent to directional changes of piping.

3) 3) LOCATION OF VALVES & FITTINGSLOCATION OF VALVES & FITTINGS - -Valves require independent Valves require independent support, as well as meters and other miscellaneous fittings. These items support, as well as meters and other miscellaneous fittings. These items

contribute concentrated loads to the piping system. Independent supports contribute concentrated loads to the piping system. Independent supports are provided at each side of the concentrated load.are provided at each side of the concentrated load.

4) 4) AVAILABLE STRUCTUREAVAILABLE STRUCTURE -Location, as well as selection, of pipe -Location, as well as selection, of pipe supports is dependent upon the available structure to which the support supports is dependent upon the available structure to which the support may be attached. Supports are not located where they will interfere withmay be attached. Supports are not located where they will interfere with

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other design considerations. Some piping materials require that they are not other design considerations. Some piping materials require that they are not supported in areas that will expose the piping material to excessive ambient supported in areas that will expose the piping material to excessive ambient temperatures. Also, piping is not rigidly anchored to surfaces that transmit temperatures. Also, piping is not rigidly anchored to surfaces that transmit vibrations. In this case, pipe supports isolate the piping system from vibrations. In this case, pipe supports isolate the piping system from vibration that could compromise the structural integrity of the system.vibration that could compromise the structural integrity of the system.

b) b) SUPPORT SPANSSUPPORT SPANS -Spacing is a function of the size of the pipe, the -Spacing is a function of the size of the pipe, the fluid conveyed by piping system, the temperature of the fluid and the fluid conveyed by piping system, the temperature of the fluid and the ambient temperature of the surrounding area. Determination of maximum ambient temperature of the surrounding area. Determination of maximum allowable spacing, or span between supports, is based on the maximum allowable spacing, or span between supports, is based on the maximum amount that the pipeline may deflect due to load. Typically, a deflection of amount that the pipeline may deflect due to load. Typically, a deflection of 2.5 mm (0.1 in) is allowed, provided that the maximum pipe stress is limited 2.5 mm (0.1 in) is allowed, provided that the maximum pipe stress is limited to 10.3 MPa. Proper spacing of supports is essential to the structural to 10.3 MPa. Proper spacing of supports is essential to the structural integrity of the piping system. Effects of improper spacing are:-integrity of the piping system. Effects of improper spacing are:-

An improperly spaced support system will allow excessive deflection in the An improperly spaced support system will allow excessive deflection in the line. line.

This can cause structural failure of the piping system, typically at joints and This can cause structural failure of the piping system, typically at joints and fittings. fittings.

Excessive stress can also allow for corrosion of the pipe material by Excessive stress can also allow for corrosion of the pipe material by inducing stress on the pipe and, thereby, weakening its resistance to inducing stress on the pipe and, thereby, weakening its resistance to corrosive fluids. corrosive fluids.

Can allow fluids to collect in the sag of the pipe.Can allow fluids to collect in the sag of the pipe.

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C) C) SUPPORT TYPESSUPPORT TYPES -The type of support selected is equally important to -The type of support selected is equally important to the design of the piping system. The stresses and movements transmitted to the design of the piping system. The stresses and movements transmitted to the pipe is a major factor in this selection. Pipe supports should not damage the pipe is a major factor in this selection. Pipe supports should not damage the pipe material or impart other stresses on the pipe system. The basic the pipe material or impart other stresses on the pipe system. The basic type of support is dictated by the expected movement at each support type of support is dictated by the expected movement at each support location. location.

If a pipe needs to have freedom of axial movement due to thermal If a pipe needs to have freedom of axial movement due to thermal expansion and contraction or other axial movement, a roller type support is expansion and contraction or other axial movement, a roller type support is selected. selected.

If minor axial and transverse (and minimal vertical) movements are If minor axial and transverse (and minimal vertical) movements are expected, a hanger allowing the pipe to ‘swing’ is selected. expected, a hanger allowing the pipe to ‘swing’ is selected.

If vertical movement is required, supports with springs or hydraulic dampers If vertical movement is required, supports with springs or hydraulic dampers are required. are required.

Other structural requirements and conditions that have the potential to affect Other structural requirements and conditions that have the potential to affect piping systems and piping support systems are analyzed.piping systems and piping support systems are analyzed.

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FLUSHING & TESTINGFLUSHING & TESTING:-:- FLUSHINGFLUSHING -Flushing of a piping system prior to leak testing should be -Flushing of a piping system prior to leak testing should be

performed if there is evidence or suspicion of contaminants, such as dirt or performed if there is evidence or suspicion of contaminants, such as dirt or grit, in the pipeline. These contaminants could damage valves, meters, grit, in the pipeline. These contaminants could damage valves, meters, nozzles, jets, ports, or other fittings. The flushing medium shall not react nozzles, jets, ports, or other fittings. The flushing medium shall not react adversely or otherwise contaminate the pipeline, testing fluid, or service adversely or otherwise contaminate the pipeline, testing fluid, or service fluid. Flushing should be of sufficient time to thoroughly clean contaminants fluid. Flushing should be of sufficient time to thoroughly clean contaminants from every part of the pipeline.from every part of the pipeline.

TESTINGTESTING –It includes pressure & leak testing of piping systems. –It includes pressure & leak testing of piping systems. Testing of piping systems is limited by pressure. The pressure used to test a Testing of piping systems is limited by pressure. The pressure used to test a

system shall not produce stresses at the test temperature that exceed the system shall not produce stresses at the test temperature that exceed the yield strength of the pipe material. In addition, if thermal expansion of the yield strength of the pipe material. In addition, if thermal expansion of the test fluid in the system could occur during testing, precautions are taken to test fluid in the system could occur during testing, precautions are taken to avoid extensive stress. avoid extensive stress.

Testing of piping systems is also limited by temperature. The ductile-brittle Testing of piping systems is also limited by temperature. The ductile-brittle transition temperature should be noted and temperatures outside the transition temperature should be noted and temperatures outside the design range avoided. Heat treatment of piping systems is performed prior design range avoided. Heat treatment of piping systems is performed prior to leak testing. The piping system is returned to its ambient prior to leak to leak testing. The piping system is returned to its ambient prior to leak testing. testing.

In general, piping systems should be re-tested after repairs or additions are In general, piping systems should be re-tested after repairs or additions are made to the system. If a leak is detected during testing and then repaired, made to the system. If a leak is detected during testing and then repaired, the system should be re-tested. If a system passes a leak test, and a the system should be re-tested. If a system passes a leak test, and a component is added to the system, the system should be re-tested to component is added to the system, the system should be re-tested to ensure that no leaks are associated with the new component.ensure that no leaks are associated with the new component.

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PIPING NETWORKPIPING NETWORK:-:- In order to direct reaction streams to various processes in an industry, In order to direct reaction streams to various processes in an industry,

many times the stream is routed through a piping supply network. A major many times the stream is routed through a piping supply network. A major part of this network may consist of interconnected pipes. This network part of this network may consist of interconnected pipes. This network creates a special class of problems in hydraulic design typically referred creates a special class of problems in hydraulic design typically referred to as pipe network analysis. Pipe network analysis is the analysis of to as pipe network analysis. Pipe network analysis is the analysis of the fluid flow through a hydraulics network, containing several or many the fluid flow through a hydraulics network, containing several or many interconnected branches. The aim is to determine the flow interconnected branches. The aim is to determine the flow rates and pressure drops in the individual sections of the network. rates and pressure drops in the individual sections of the network.

NETWORK ANALYSISNETWORK ANALYSIS ((HARDY CROSS METHODHARDY CROSS METHOD)):-:- Once the friction factors are solved for, then we can start considering the Once the friction factors are solved for, then we can start considering the

network problem. We can solve the network by satisfying two conditions:-network problem. We can solve the network by satisfying two conditions:-

1.1. At any junction, the flow into a junction equals the flow out of the junction.At any junction, the flow into a junction equals the flow out of the junction.

2.2. Between any two junctions, the head loss is independent of the path Between any two junctions, the head loss is independent of the path taken.taken.

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where:where:

nn = 2 for Darcy– = 2 for Darcy–Weisbach eqn.Weisbach eqn.

The clockwise The clockwise specifier (c) means specifier (c) means only the flows that only the flows that are moving clockwise are moving clockwise in our loop, while the in our loop, while the counter-clockwise counter-clockwise specifier (cc) is only specifier (cc) is only the flows that are the flows that are moving counter-moving counter-clockwise.clockwise.

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PIPE FITTINGSPIPE FITTINGS:-:-ELBOWELBOW-- ItIt means a length of means a length of pipe with a sharp bend in it. A pipe pipe with a sharp bend in it. A pipe elbow is a fitting installed between elbow is a fitting installed between two lengths of pipe or tube allowing two lengths of pipe or tube allowing a change of direction, usually in the a change of direction, usually in the 90° or 45° direction. They are made 90° or 45° direction. They are made of rubber ,iron ,plastic , aluminium , of rubber ,iron ,plastic , aluminium , copper etc.copper etc.

VALVESVALVES- - Pipe valves are Pipe valves are mechanisms or devices to regulate mechanisms or devices to regulate or control the flow of liquid or gas or control the flow of liquid or gas within a pipe. While some valves are within a pipe. While some valves are used to regulate the rate of flow, used to regulate the rate of flow, there are others that are used to there are others that are used to stop it completely in order to prevent stop it completely in order to prevent flooding or allow repairs to be made.flooding or allow repairs to be made.

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FLANGEFLANGE- - A flange is used to A flange is used to mechanically connect two pipes mechanically connect two pipes together. It can also be used to together. It can also be used to mechanically connect a pipe to a tee, mechanically connect a pipe to a tee, valve, choke or any other piece of valve, choke or any other piece of equipment. Flanges are available in equipment. Flanges are available in round, square, and rectangular round, square, and rectangular shapes. They are made of brass, shapes. They are made of brass, stainless steel, iron etc.stainless steel, iron etc.

REDUCERREDUCER- Pipe reducer are - Pipe reducer are tube fittings that are widely used in a tube fittings that are widely used in a number of industries in order to number of industries in order to provide greatest connection flexibility provide greatest connection flexibility in connecting fractional tubes in in connecting fractional tubes in various installations. Pipe reducer is a various installations. Pipe reducer is a kind of pipe fitting that joins two pipes kind of pipe fitting that joins two pipes of different diameter.of different diameter.  

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PIPE TEEPIPE TEE-- Pipe Tee is a type of pipe fitting which is T-Pipe Tee is a type of pipe fitting which is T-shaped having two outlets, at 90° to the connection to the main shaped having two outlets, at 90° to the connection to the main line. It is a short piece of pipe with a lateral outlet. Pipe Tee is line. It is a short piece of pipe with a lateral outlet. Pipe Tee is used to connect pipelines with a pipe at a right angle with the used to connect pipelines with a pipe at a right angle with the line.line.

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THANK YOU THANK YOU !!