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Author: Rajesh Bhaskaran, Cornell
University

Problem Specification
1. Create Geometry in GAMBIT
2. Mesh Geometry in GAMBIT
3. Specify Boundary Types in GAMBIT
4. Set Up Problem in FLUENT
5. Solve!
6. Analyze Results
7. Refine Mesh
Problem 1

Problem Specification

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Let's revisit the pipe flow example considered in the previous exercise. As before, the inlet velocity is 1 m/s, the fluid exhausts into the ambient atmosphere and density is 1 kg/m3. For µ = 2 x 10^-5^ kg/(ms), the Reynolds no. based on the pipe diameter and average velocity at the inlet is

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At this Reynolds number, the flow is usually completely turbulent.

A turbulent flow exhibits small-scale fluctuations in time. It is usually not possible to resolve these fluctuations in a CFD calculation. So the flow variables such as velocity, pressure, etc. are time-averaged. Unfortunately, the time-averaged governing equations are not closed i.e. they contain fluctuating quantities which need to be modeled using a turbulence model. No turbulence model is currently available that is valid for all types of flows and so it is necessary to choose and fine-tune a model for particular classes of flows. In this exercise, you'll be turned loose on variants of the k-ε model. But in the real world, tread with great caution: you should evaluate the validity of your calculations using a turbulence model very carefully (which, ahem, means that there is no getting away from studying fluid dynamics concepts and numerical methods very carefully). FLUENT should not be used as a black box. The k-ε models consist of two differential equations: one each for the turbulent kinetic energy k and turbulent dissipation ε. These two equations have to be solved along with the time-averaged continuity, momentum and energy equations. So turbulent flow calculations are much more difficult and time-consuming than laminar flow calculations. This is an exercise to whet your appetite for turbulent flow calculations.

Go to Step 1: Create Geometry in GAMBIT

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{color:#ff0000}{*}Problem Specification{*}{color}
[1. Create Geometry in GAMBIT|FLUENT - Turbulent Pipe Flow - Step 1]
[2. Mesh Geometry in GAMBIT|FLUENT - Turbulent Pipe Flow - Step 2]
[3. Specify Boundary Types in GAMBIT|FLUENT - Turbulent Pipe Flow - Step 3]
[4. Set Up Problem in FLUENT|FLUENT - Turbulent Pipe Flow - Step 4]  
[5. Solve!|FLUENT - Turbulent Pipe Flow - Step 5]
[6. Analyze Results|FLUENT - Turbulent Pipe Flow - Step 6]
[7. Refine Mesh|FLUENT - Turbulent Pipe Flow - Step 7]
[Problem 1|FLUENT - Turbulent Pipe Flow - Problem 1]
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h2. Problem Specification

!Fluent_pipeflow.jpg!

Let's revisit the pipe flow example considered in the previous exercise.          As before, the inlet velocity is 1 m/s, the fluid exhausts into the ambient          atmosphere and density is 1 _kg/m{_}{_}{^}3{^}_. For µ = 2          x 10^-5\^ _kg/(ms_), the Reynolds no. based on the pipe diameter          and average velocity at the inlet is

 !Fluent_Eq2.jpg!

At this Reynolds number, the flow is usually completely turbulent.

A turbulent flow exhibits small-scale fluctuations in time. It is usually          not possible to resolve these fluctuations in a CFD calculation. So the          flow variables such as velocity, pressure, etc. are time-averaged. Unfortunately,          the time-averaged governing equations are not closed i.e. they contain          fluctuating quantities which need to be modeled using a turbulence model.          No turbulence model is currently available that is valid for all types          of flows and so it is necessary to choose and fine-tune a model for particular          classes of flows. In this exercise, you'll be turned loose on variants          of the _k-ε_ model. But in the real world, tread with great _caution_: you should evaluate the validity of your calculations          using a turbulence model very carefully (which, ahem, means that there          is no getting away from studying fluid dynamics concepts and numerical          methods very carefully). FLUENT should _not_ be used as a black          box. The _k-ε_ models consist of two differential equations:          one each for the turbulent kinetic energy _k_ and turbulent dissipation ε.          These two equations have to be solved along with the time-averaged continuity,          momentum and energy equations. So turbulent flow calculations are much          more difficult and time-consuming than laminar flow calculations. This          is an exercise to whet your appetite for turbulent flow calculations.

Go to [Step 1: Create Geometry in GAMBIT|FLUENT - Turbulent Pipe Flow - Step 1]

[See and rate the complete Learning Module|FLUENT - Turbulent Pipe Flow]

Go to [all FLUENT Learning Modules|FLUENT Learning Modules]