problem on Laminar flow in a pipe
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Since I have consider the same velocity (measured from the formula
Vc { 1  (r/R)^2 } at the inlet and outlet Bcs, I am expecting a linear profile for velocity magnitude but I am getting a parabolic profile? Is this correct? Problem description is given below. Fully developed Laminar flow in a pipe: (Solver: simpleFoam) L = 1.2 m, R = 0.0295 m, D = 2R = 0.0519 m, Re = 100, neu = 1.004 E 6 m^2/s. Entrance length, Le = 0.3114 m, Avg Velocity, Vc = 0.001934 m/s. At r = 0, Vmax = 2*Vc = 0.0038682 m/s. Initial Condition: velocity = (0 0 0), Bcs: Inlet and outlet velocity, V = Vmax and wall velocity = (0 0 0). Initial Condition for p = 0, Boundary condition for p: Inlet and Wall: Pressure gradient is zero, outlet : p = 0. Thanks 
The steady state velocity profile for a laminar flow in a pipe is parabolic. Unless I'm confused it looks as though you are in fact getting the correct solution.

Since, I have used parabolic velocity at the both ends (inlet and outlet) then the velocity profile should be a linear profile. Am I right?

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Sorry, I got the error. my result was correct but I want to use parabolic BC but I have used uniform BC. I want to use U(x) = 2U_0 [ 1 (x/r)^2 ]. This is the problem.

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