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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1220
CFD ANALYSIS OF HOT AND COLD STEAM FLOW IN AN ELBOW
Mr. M. Dhanenthiran1, Mr.T.David Ubahara Samy2, Mrs. G.Rishaba Rani3
1Assistant Professor, SRM TRP Engineering College
2Assistant Professor, SRM TRP Engineering College
3Assistant Professor, JJ College of Engineering and Technology
-------------------------------------------------------------------------***----------------------------------------------------------------------
Abstract- Elbow is a device used for fluid mixing and heat
transfer through fluids in pipes. The design of the Elbow
affects its function. In this project, we have a deal with a
particular case of Elbow in two different types of fluid flow
i.e. laminar and turbulent flow and compared them. Here
we are using a venturi pipe as a hot inlet for easy mixing of
hot and cold water. In order to check the proper mixture
output, the diameter of the pipe and the flow speed is To be
varied and the results obtained from the solution will be
compared with the normal existing one using ANSYS
Software. At the end of the project, we get some useful flow
pattern diagrams regarding velocity, pressure, and
temperature inside the Elbow that can be used as a
reference by any designer for Elbow.
Keywords: Elbow, laminar and turbulent flow, ANSYS
Software
1. INTRODUCTION
Elbow is a device used in pipes to transfer, mixing of two
dissimilar fluid of different parameters. This transfer,
mixing of fluid plays a big role in the productivity. It is
desirable that design of Elbow should be as finest as
possible. To get a good design, it is important to know the
flow distribution inside the Elbow, so that prediction can be
done regarding flow distribution which can be used as
reference for the design of Elbow. In this project, we have
studied the Elbow to get such a solution which can use as
reference for design. In this project report, we have made
the CFD (Computer Fluid Dynamics) analysis of Elbow, to
know the flow and heat transfer in Elbow. Since the Elbow
configuration is encountered in piping in power plants and
process industries. It is always important to predict the
flow and temperature field in the part of the mixing area in
order to properly design the junction. For this use we have
used the ANSYS software to make the CFD i.e. Computer
Fluid Dynamics analysis of Elbow. Now in present day
ANSYS become the world’s leading engineering software,
and their solutions are very much accurate than other.
Therefore, now a days all the industries are using this
software for their job in different ways.
A. Aim of the paper
1. To study the Elbow and generate Fluid Flow pattern.
2. To get solution to know the heat transfer and flow
pattern which can be used as reference for Elbow
designing.
3. To analyze the pressure, velocity, temperature and
mass transfer distribution through different flow pattern.
4. To analyze the difference in pattern by laminar and
turbulent flow.
B. ELBOW
Elbow is a fluid flow device, which is used to mix, transfer
two dissimilar fluids of either same type with varying
parameters or of dissimilar types with same parameters.
The Elbow used for study in this project have utilize the
similar fluid water as working fluid but have dissimilar
parameters like velocity and temperature. we are using a
venture pipe as an hot inlet for easy mixing of hot and cold
water.
2. LITERATURE REVIEW
Elbow has a major application in the field of heat and mass
transfer by fluid. This directly affects the productivity of
products, since it transfers, mixes the working fluid. The
quality of transferring and mixing have proportional effect
on the quality. Elbow has been used from the start of
production but still the design of Elbow has not varied
much. Still a traditional type Elbow are applied for liquid
transfer. Only few works have done regarding the
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1221
development of Elbow design. In this series one of the
major work was done by Quamrul H. Mazumder for
mechanical engineering, University of Michigan-Flint, Flint,
MI 48502, USA.
P.L. Spedding, E. Benard and N.M. Crawford have made
another crucial study of Elbow regarding the Fluid flows
through a vertical to horizontal 90 Elbow bend III three
phase flow. This study also gave improvement in the Elbow.
3. PHASE OF WORKING
A. Modeling of Elbow
In this project, the design and meshing of Elbow has done
with the using ANSYS fluent in ANSYS. The design and
meshing have much importance regarding the quality of
results.
B. Analysis in Laminar and Turbulent Flow
After finishing the geometry and meshing as per
requirement, then analysis has done with two different case
of flow i.e. firstly with laminar flow and then after with
turbulent flow.
Comparison of Results
For the good design it should be necessary to know the
differences in flow pattern with laminar and turbulent so
that design should made by keeping both flow.
4. VENTURIMETER
When a venturimeter is attached in the pipe carrying the
liquid whose flow rate to be measured, a pressure drop
occurs between the inlet and throat of the venturimeter.
This pressure drop is measured using a differential
pressure sensor and by calibrated, this pressure drop
becomes a measure of flow rate.
A.Applications:
● It is used where high pressure isrequired.
● Can be used in measuring flow rates of
liquid,gases,suspended solids, anddirty liquids.
● Can measure high flow rates in pipes having
minimum diameter.
B.Advantages of venturimeters
● Less chances of getting clogged.
● Coefficient of discharge is maximum.
● The behaviour can be predicted perfectly.
● Can be installed in any angle.
C.Limitations
They are large in size.
● High initial cost, installationand maintenance.
● Require long laying length. That is, the veturi
has to be processed by straight pipe which is
free from fittings to avoid turbulence in flow,
for satisfactory operation.
● Pipes below 7.5cm diameter can not beused.
D. Types
1. Convergent venturi meter
2. Divergent venturi meter
3. Convergent-Divergent venturi meter
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1222
5. PROBLEM SOLVER AND PROCEDURE
A. Solution steps
I. Simple Solver
This solver is used to get the starting preliminary solution
of the particular problem. This solver can solve with the
accuracy of 90%. For the further development in solution
coupled solver can used after this.
II. Coupled Solver
The Elbow solution computed in the initial part of this
tutorial used the SIMPLE solver for pressure-velocity
coupling. For general fluid-flow problems, convergence
speed can be increased by using coupled solver. You will
now swap the solution method to a coupledsolver.
III. Adaptation
For the first two runs of tutorial, we have solved the Elbow
problem using a coarse mesh. The Elbow solution can be
increased further by refining the mesh to good resolve the
flow details. ANSYS Fluent provides a built-in capability to
easily adapt the mesh according to solution.
6. MODELING AND MESHING
A. Problem setup
The setup considered in these project is shown.
The cold fluid having temperature 293.15 K enters through
the inlet of with the velocity of 0.4 m/s while the hot fluid
of temperature 313.15 K enters through the venturi with
velocity of 1.2 m/s. They mixed inside the Elbow and
exchanges their heat and these flow pattern becomes
major role in order to design a goodElbow.
B. Meshed design
7. ANALYSIS ANDSIMULATION
A. VelocityComparison:
By referring to the above flow diagram, in the throat area
of the venturi the velocity is at max range,by this principle,
the laminar flow of the water is converted to turbulant
flow and the mixing of hot and cold water is exact to the
requirement.
B.Temperature Comparison:
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1223
The above flow diagram show the temperature nature
inside the elbow. The cold water from pipe inlet(293 K)
and the hot water from venturi inlet(313 K) combines with
help of turbulant nature of flow and becomes to moderate
and the required temperature(307 K).
C.Pressure Comparison:
The above flow diagram shows the pressure nature inside
the elbow. The hot water is sent as a maximum
pressure(4.7 Bar) through the venturi, while reaching the
venturi throat the velocity of water increases and the
pressure decreases.(ie. When velocity increases, pressure
decreases).Therefore the mixing of water is as our
requirement. The elbow pressure rate is 0.27 Bar.
D.Viscosity comparison:
We have also taken the viscosity nature of the fluid inside
the elbow pipe. The dynamic viscosity of water is 8.90 ×
10−4 Pa
8. APPLICATION AND BENEFITS
Elbow has variety of application in all manufacturing
companies. The solution got through above analysis will
also useful in many ways. It can be used as
● For the design of Elbow to have a best geometry.
● This is used for the analysis of laminar flow in
Elbow.
● This report can used for the analysis ofturbulent
flow in Elbow.
● This can be used for the study in difference
design requirement for laminar and turbulent
flow.
A. Benefits
This reports display the combine report on laminar and
turbulent flow pattern. This provide a nice idea about the
distribution and flow pattern of temperature, velocity,
and pressure inside the Elbow.This provides a complete
report on Elbow and fluid flow habits,so that it can used
for a good design idea.
B. Final Report
The results obtained through the analysis of Elbow above
can be used as reference for the design of Elbow.
This can be used for the design for both laminar and
turbulent flow.
9. ACTUAL PROTOTYPE
The above shown picture is our actual prototype model.
This prototype is made up of PLA material (polyLactic
acid) using the method of 3d printing.
PLA is a type of plastic made up of FERMENTED PLANT
STARCH, it is usually made from corn. It is biodegradable
type of plastic.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1224
Now-a-days is quickly becoming a popular alternative to
traditional petroleum-based plastics.
10. DISCUSSION AND CONCLUSION
A number of concept and conclusion can be drawn through
the results obtained, but we have focused on the pressure,
velocity and temperature distribution in the Elbow under
some specific parameters. The quality of result mostly
depends on the software used and parameters given. In
this project we have given the parameters obtained from a
reputed reports, that have made the project on Elbow with
some other concept and method.
This project, we have used the ANSYS 15.0 software for the
analysis, which provides the solution that is reliable than
the solution obtained from other software. In present, big
organizations, companies are using this software and
complete function depends upon this software.
Since we have focused on particular parameters, one can
study all the parameters obtained through this analysis of
Elbow for better design idea. Therefore this project have
big field of research for obtaining a good solution. The
Future scope of this project becomes high for a best
analytical. At present time, the research regarding Elbow
does not have a enough number. Only few research has
done for this. Therefore there is many things that can be
used for study infuture.
11. REFERENCES
1. Arindam Mandal ”Experimental Investigation of
Turbulent Fluid Flow through a Rectangular
Elbow”Vol.2(6),2010,1500-1506
2. Azzi, A. and Friedel, L., 2005, “Two-phase upward
flow 90° bend pressure loss model”, Forschung im
Ingenieurwesen 69.Pp.120-130.
3. Benbella, S., Al-Shannag, M. and Al-Anber, Zaid A.,
2009, “Gas–liquid pressure drop in vertical
internally wavy 90° bend”, Experimental Thermal
and Fluid Science 33, pp.340-347.
4. Lee, S.Y.K., Wong, M. and Zohar, Y., 2001, “Gas flow
in microchannels with bends”, J. Micromech.
Microeng. 11, pp.635- 644.
5. Mazumder, Quamrul H. “CFD analysis of Single
and Multiphase Flow Characteristics in Elbows”
Journal of Engineering, Vol.4 No.4, PP. 210-214,
April 2012.
6. Mazumder, Quamrul H. “ CFD Analysis of the Effect
of Elbow Radius on Pressure Drop in Multiphase
Flow” Modeling and Simulation in Engineering,
Volume 2012 (2012), Article ID 125405, 8 pages,
doi:10.1155/2012/125405, November, 2012
7. Neary, V.S. and Sotiropoulos, F., 1996, “Numerical
investigation of laminar flows through 90°
diversions of rectangular cross-section”,
Computers & Fluids, Vol. 25, No. 2, pp. 95-118
8. Spedding, P.L., Benard, E. and Crawford, N.M.,
2008, “Fluid flow through a vertical to horizontal
90° elbow bend II I phase flow ”, Exp. Thermal
Fluid Sci.32, pg827-843
9. Wilson Phillip L. and Smith Frank T., 2007, “The
development of the turbulent flow in a bent pipe”,
J. Fluid Mech., vol. 578, pp. 467–4

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CFD Analysis of Hot and Cold Steam Flow in an Elbow

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1220 CFD ANALYSIS OF HOT AND COLD STEAM FLOW IN AN ELBOW Mr. M. Dhanenthiran1, Mr.T.David Ubahara Samy2, Mrs. G.Rishaba Rani3 1Assistant Professor, SRM TRP Engineering College 2Assistant Professor, SRM TRP Engineering College 3Assistant Professor, JJ College of Engineering and Technology -------------------------------------------------------------------------***---------------------------------------------------------------------- Abstract- Elbow is a device used for fluid mixing and heat transfer through fluids in pipes. The design of the Elbow affects its function. In this project, we have a deal with a particular case of Elbow in two different types of fluid flow i.e. laminar and turbulent flow and compared them. Here we are using a venturi pipe as a hot inlet for easy mixing of hot and cold water. In order to check the proper mixture output, the diameter of the pipe and the flow speed is To be varied and the results obtained from the solution will be compared with the normal existing one using ANSYS Software. At the end of the project, we get some useful flow pattern diagrams regarding velocity, pressure, and temperature inside the Elbow that can be used as a reference by any designer for Elbow. Keywords: Elbow, laminar and turbulent flow, ANSYS Software 1. INTRODUCTION Elbow is a device used in pipes to transfer, mixing of two dissimilar fluid of different parameters. This transfer, mixing of fluid plays a big role in the productivity. It is desirable that design of Elbow should be as finest as possible. To get a good design, it is important to know the flow distribution inside the Elbow, so that prediction can be done regarding flow distribution which can be used as reference for the design of Elbow. In this project, we have studied the Elbow to get such a solution which can use as reference for design. In this project report, we have made the CFD (Computer Fluid Dynamics) analysis of Elbow, to know the flow and heat transfer in Elbow. Since the Elbow configuration is encountered in piping in power plants and process industries. It is always important to predict the flow and temperature field in the part of the mixing area in order to properly design the junction. For this use we have used the ANSYS software to make the CFD i.e. Computer Fluid Dynamics analysis of Elbow. Now in present day ANSYS become the world’s leading engineering software, and their solutions are very much accurate than other. Therefore, now a days all the industries are using this software for their job in different ways. A. Aim of the paper 1. To study the Elbow and generate Fluid Flow pattern. 2. To get solution to know the heat transfer and flow pattern which can be used as reference for Elbow designing. 3. To analyze the pressure, velocity, temperature and mass transfer distribution through different flow pattern. 4. To analyze the difference in pattern by laminar and turbulent flow. B. ELBOW Elbow is a fluid flow device, which is used to mix, transfer two dissimilar fluids of either same type with varying parameters or of dissimilar types with same parameters. The Elbow used for study in this project have utilize the similar fluid water as working fluid but have dissimilar parameters like velocity and temperature. we are using a venture pipe as an hot inlet for easy mixing of hot and cold water. 2. LITERATURE REVIEW Elbow has a major application in the field of heat and mass transfer by fluid. This directly affects the productivity of products, since it transfers, mixes the working fluid. The quality of transferring and mixing have proportional effect on the quality. Elbow has been used from the start of production but still the design of Elbow has not varied much. Still a traditional type Elbow are applied for liquid transfer. Only few works have done regarding the
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1221 development of Elbow design. In this series one of the major work was done by Quamrul H. Mazumder for mechanical engineering, University of Michigan-Flint, Flint, MI 48502, USA. P.L. Spedding, E. Benard and N.M. Crawford have made another crucial study of Elbow regarding the Fluid flows through a vertical to horizontal 90 Elbow bend III three phase flow. This study also gave improvement in the Elbow. 3. PHASE OF WORKING A. Modeling of Elbow In this project, the design and meshing of Elbow has done with the using ANSYS fluent in ANSYS. The design and meshing have much importance regarding the quality of results. B. Analysis in Laminar and Turbulent Flow After finishing the geometry and meshing as per requirement, then analysis has done with two different case of flow i.e. firstly with laminar flow and then after with turbulent flow. Comparison of Results For the good design it should be necessary to know the differences in flow pattern with laminar and turbulent so that design should made by keeping both flow. 4. VENTURIMETER When a venturimeter is attached in the pipe carrying the liquid whose flow rate to be measured, a pressure drop occurs between the inlet and throat of the venturimeter. This pressure drop is measured using a differential pressure sensor and by calibrated, this pressure drop becomes a measure of flow rate. A.Applications: ● It is used where high pressure isrequired. ● Can be used in measuring flow rates of liquid,gases,suspended solids, anddirty liquids. ● Can measure high flow rates in pipes having minimum diameter. B.Advantages of venturimeters ● Less chances of getting clogged. ● Coefficient of discharge is maximum. ● The behaviour can be predicted perfectly. ● Can be installed in any angle. C.Limitations They are large in size. ● High initial cost, installationand maintenance. ● Require long laying length. That is, the veturi has to be processed by straight pipe which is free from fittings to avoid turbulence in flow, for satisfactory operation. ● Pipes below 7.5cm diameter can not beused. D. Types 1. Convergent venturi meter 2. Divergent venturi meter 3. Convergent-Divergent venturi meter
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1222 5. PROBLEM SOLVER AND PROCEDURE A. Solution steps I. Simple Solver This solver is used to get the starting preliminary solution of the particular problem. This solver can solve with the accuracy of 90%. For the further development in solution coupled solver can used after this. II. Coupled Solver The Elbow solution computed in the initial part of this tutorial used the SIMPLE solver for pressure-velocity coupling. For general fluid-flow problems, convergence speed can be increased by using coupled solver. You will now swap the solution method to a coupledsolver. III. Adaptation For the first two runs of tutorial, we have solved the Elbow problem using a coarse mesh. The Elbow solution can be increased further by refining the mesh to good resolve the flow details. ANSYS Fluent provides a built-in capability to easily adapt the mesh according to solution. 6. MODELING AND MESHING A. Problem setup The setup considered in these project is shown. The cold fluid having temperature 293.15 K enters through the inlet of with the velocity of 0.4 m/s while the hot fluid of temperature 313.15 K enters through the venturi with velocity of 1.2 m/s. They mixed inside the Elbow and exchanges their heat and these flow pattern becomes major role in order to design a goodElbow. B. Meshed design 7. ANALYSIS ANDSIMULATION A. VelocityComparison: By referring to the above flow diagram, in the throat area of the venturi the velocity is at max range,by this principle, the laminar flow of the water is converted to turbulant flow and the mixing of hot and cold water is exact to the requirement. B.Temperature Comparison:
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1223 The above flow diagram show the temperature nature inside the elbow. The cold water from pipe inlet(293 K) and the hot water from venturi inlet(313 K) combines with help of turbulant nature of flow and becomes to moderate and the required temperature(307 K). C.Pressure Comparison: The above flow diagram shows the pressure nature inside the elbow. The hot water is sent as a maximum pressure(4.7 Bar) through the venturi, while reaching the venturi throat the velocity of water increases and the pressure decreases.(ie. When velocity increases, pressure decreases).Therefore the mixing of water is as our requirement. The elbow pressure rate is 0.27 Bar. D.Viscosity comparison: We have also taken the viscosity nature of the fluid inside the elbow pipe. The dynamic viscosity of water is 8.90 × 10−4 Pa 8. APPLICATION AND BENEFITS Elbow has variety of application in all manufacturing companies. The solution got through above analysis will also useful in many ways. It can be used as ● For the design of Elbow to have a best geometry. ● This is used for the analysis of laminar flow in Elbow. ● This report can used for the analysis ofturbulent flow in Elbow. ● This can be used for the study in difference design requirement for laminar and turbulent flow. A. Benefits This reports display the combine report on laminar and turbulent flow pattern. This provide a nice idea about the distribution and flow pattern of temperature, velocity, and pressure inside the Elbow.This provides a complete report on Elbow and fluid flow habits,so that it can used for a good design idea. B. Final Report The results obtained through the analysis of Elbow above can be used as reference for the design of Elbow. This can be used for the design for both laminar and turbulent flow. 9. ACTUAL PROTOTYPE The above shown picture is our actual prototype model. This prototype is made up of PLA material (polyLactic acid) using the method of 3d printing. PLA is a type of plastic made up of FERMENTED PLANT STARCH, it is usually made from corn. It is biodegradable type of plastic.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1224 Now-a-days is quickly becoming a popular alternative to traditional petroleum-based plastics. 10. DISCUSSION AND CONCLUSION A number of concept and conclusion can be drawn through the results obtained, but we have focused on the pressure, velocity and temperature distribution in the Elbow under some specific parameters. The quality of result mostly depends on the software used and parameters given. In this project we have given the parameters obtained from a reputed reports, that have made the project on Elbow with some other concept and method. This project, we have used the ANSYS 15.0 software for the analysis, which provides the solution that is reliable than the solution obtained from other software. In present, big organizations, companies are using this software and complete function depends upon this software. Since we have focused on particular parameters, one can study all the parameters obtained through this analysis of Elbow for better design idea. Therefore this project have big field of research for obtaining a good solution. The Future scope of this project becomes high for a best analytical. At present time, the research regarding Elbow does not have a enough number. Only few research has done for this. Therefore there is many things that can be used for study infuture. 11. REFERENCES 1. Arindam Mandal ”Experimental Investigation of Turbulent Fluid Flow through a Rectangular Elbow”Vol.2(6),2010,1500-1506 2. Azzi, A. and Friedel, L., 2005, “Two-phase upward flow 90° bend pressure loss model”, Forschung im Ingenieurwesen 69.Pp.120-130. 3. Benbella, S., Al-Shannag, M. and Al-Anber, Zaid A., 2009, “Gas–liquid pressure drop in vertical internally wavy 90° bend”, Experimental Thermal and Fluid Science 33, pp.340-347. 4. Lee, S.Y.K., Wong, M. and Zohar, Y., 2001, “Gas flow in microchannels with bends”, J. Micromech. Microeng. 11, pp.635- 644. 5. Mazumder, Quamrul H. “CFD analysis of Single and Multiphase Flow Characteristics in Elbows” Journal of Engineering, Vol.4 No.4, PP. 210-214, April 2012. 6. Mazumder, Quamrul H. “ CFD Analysis of the Effect of Elbow Radius on Pressure Drop in Multiphase Flow” Modeling and Simulation in Engineering, Volume 2012 (2012), Article ID 125405, 8 pages, doi:10.1155/2012/125405, November, 2012 7. Neary, V.S. and Sotiropoulos, F., 1996, “Numerical investigation of laminar flows through 90° diversions of rectangular cross-section”, Computers & Fluids, Vol. 25, No. 2, pp. 95-118 8. Spedding, P.L., Benard, E. and Crawford, N.M., 2008, “Fluid flow through a vertical to horizontal 90° elbow bend II I phase flow ”, Exp. Thermal Fluid Sci.32, pg827-843 9. Wilson Phillip L. and Smith Frank T., 2007, “The development of the turbulent flow in a bent pipe”, J. Fluid Mech., vol. 578, pp. 467–4