In Chap. 9 (Example 9-15), we generated an “exact”

Chapter 10, Problem 11P

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Problem 11P

In Chap. 9 (Example 9-15), we generated an “exact” solution of the Navier-Stokes equation for fully developed Couette flow between two horizontal, flat plates (Fig. P10-12), with gravity acting in the negative z-direction (into the page of Fig. P10-12). We used the actual pressure in that example. Repeat the solution for the x-component of velocity u and pressure P, but use the modified pressure in your equations. The pressure is P0 at z = 0. Show that you get the same result as previously. Discuss.

FIGURE P10-12

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