Question: In this problem we consider a fluid that enters the channel above at AH with a velocity distribution of fully developed laminar flow of constant

In this problem we consider a fluid that enters the channel above at AH with a velocity distribution of fully developed laminar flow of constant average velocity ( Uo, 0) . The solid walls of the channel are AB, HGFE. The line IDC is line of symmetry. You may assume that the fluid leaves the channel as fully developed flow. Assume, too, that the flow in the channel is in a steady state.

Write down the governing equations for this incompressible, viscous flow and the boundary conditions that should be satisfied.

Solve the equations numerically using the following geometrical data for the channel:

AB = L =1; AH = L/40 ; ID = L/50; FE = 2L/50; Hi = L/40.

Solve for Reynolds numbers 350 and 700 and compare the results

Uo, 0)

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