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Laminar Pipe Flow
Created using ANSYS 13.0
Problem Specification
Consider fluid flowing through a circular pipe of constant radius as illustrated above. The figure is not to scale. The pipe diameter D = 0.2 m and length L = 8 m Consider the inlet velocity to be constant over the cross-section and equal to 1 m/s. The pressure at the pipe outlet is 1 atm. Take density ρ = 1 kg/ m3 and coefficient of viscosity µ = 2 x 10-3 kg/(m s). These parameters have been chosen to get a desired Reynolds number of 100 and don't correspond to any real fluid.
Solve this problem numerically using ANSYS FLUENT. Present the following results:
- Velocity vectors
- Velocity magnitude contours
- Pressure contours
- Velocity profile at the outlet
- Skin friction coefficient along the wall
Provide comparisons of the results with the full-developed analytical solution. Verify your results.