Note: Assume reasonable values for the quantities needed to plot velocity distribution.

Check whether your solution can capture the steady state solution.

Symbols have their usual meanings. Provide discussions on results.

1. Solve the equations of motions for transient plane Poiseuille flow as shown in Figure 1. Clearly state

the assumptions. Consider a constant pressure gradient ( (P = -K ) is applied along the flow direction x.

Plot the velocity distribution at different time and discuss the results for the following cases:

ox

(i) K>0, and (ii) K <0.

t=0

h

Figure 1. Transient plane Poiseuille flow.

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