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2. Calculate the shear stress τxy Tau_xy at the wall in the fully-developed region for the three meshes. Calculate the corresponding value from fully-developed pipe analysis in HW6. For each mesh, calculate the % error relative to the analytical value. Include your
results as a table:



3. At the exit of the pipe where the flow is fully-developed, we can define define the error in the centerline velocity as



where uc u_c is the centerline value from FLUENT and uexact u_exact is the corresponding exact (analytical) value. We expect the error to take the form



where the coefficient coefficient K and power p depend upon the order of accuracy of the discretization. Using MATLAB, perform a linear least squares fit of



to obtain the coefficients p and K. Plot ϵ vs. ∆r (using symbols) on a log-log plot. Add a line corresponding to the least-squares fit to this plot.

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