$1.$ Reconsider the basic flow behavior of a Poiseuille flow $--$ a fully$-$devleoped, laminar flow between parallel surfaces, with a constant, decreasing pressure gradient in the x $-$direction, as shown here.

Demonstrate that one can solve the problem by employing the vorticity transport equation.

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$\backslash$frac$\{\backslash$partial $\backslash$mathrm$\{$p$\}\}\{\backslash$mathrm$\{$x$\}\}<mn>0</mn>$

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