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[Problem Specification|FLUENT - Turbulent Pipe Flow - Problem Specification]
[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]
{color:#ff0000}{*}Problem 1{*}{color}
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h2. Problem 1


h4. Problem

Use FLUENT to resolve the developing flow in a pipe (same configuration         as was done in the tutorial) for a pipe Reynolds number of 10,000 on         the following meshes: 100x5, 100x20 with uniform spacing in the radial         direction.         Plot         the skin friction _c{_}{_}{~}f{~}_ as a function of axial location         for each grid. Compare the exit value with the expected value for fully         developed flow (e.g., see White pgs. 345-346). Recall that a key question         for the integrity of the mesh is the non-dimensional value of the first         nodal point:
{latex}
\large
$$
{y_1}^+ = u_*y \over v =\sqrt{\tau_w \over \rho} {y_1 \over v}
$$
{latex}
!ps1equation.JPG!

This should be either less than 4 (so that you resolve down into the         viscous sublayer) or greater than 30 (where wall functions can accurately         compensate for the poorly resolved viscous sublayer). Intermediate values         can lead to greater errors. Calculate the value of _y{_}{_}{~}1{~}{_}{_}^+^_ for         each mesh; use that to help explain (briefly) the trends in the agreement         that you observe.

h4. Hints

If you no longer have the 100x5 or 100x20 mesh, you can download them         here: [pipe100x5.msh|http://courses.cit.cornell.edu/fluent/pipe2/pipe100x5.msh], [pipe100x20.msh|http://courses.cit.cornell.edu/fluent/pipe2/pipe100x20.msh]

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