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Consider fluid flowing through a cylindrical pipe of diameter D = 0.0127 m and length L = 5D = 0.0635 m. The bulk velocity U_bulk at the pipe inlet is 6.58 m/s. Let us consider the case where the density of the fluid is constant. Take density ρ = 1 kg/ m³ and coefficient of viscosity µ = 2 x 10^-3 kg/(ms). The Reynolds number Re based on the pipe diameter and the bulk velocity is

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Solve the above fluid flow problem using U_bulkthe LES capability available in FLUENT via ANSYS Workbench. Plot the mean and the root mean square velocities at a particular x/D downstream of the inlet. Compare the mean velocity obtained from the LES simulation with the mean velocity obtained using the k-ε model.

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