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32 CHAPTER 9. VISCOUS FLOW<br />
U<br />
(a) Choose appropriate scalings for the lengths and velocities in the<br />
<strong>flow</strong> direction and cross stream directions. Scale the mass and<br />
momentum equations.<br />
(b) Solve the equations, subject to the no slip condition at the two<br />
surfaces, to determine the velocity as a function of the pressure<br />
gradient.<br />
(c) Determine the pressure gradient as a function of the total flux of<br />
fluid through the gap, using the condition that the flux at any<br />
horizontal position is a constant.<br />
(d) How would you determine the value of the flux<br />
Figure 1<br />
U<br />
d<br />
d 1<br />
2<br />
A<br />
B
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