If the average velocity in the main branch of the duct of Prob. 9–62 is 13.4 m/s, calculate duct height h in units of cm. Obtain your result in two ways, showing all your work. You may use the results of Prob. 9–62 in only one of the methods.

Data from Problem 9–62

A steady, incompressible, two-dimensional CFD calculation of flow through an asymmetric two-dimensional branching duct reveals the streamline pattern sketched in Fig. P9–62, where the values of ψ are in units of m²/s, and W is the width of the duct into the page. The values of stream function ψ on the duct walls are shown. What percentage of the flow goes through the upper branch of the duct?

FIGURE P9–62

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= 4.35 ·h- = 2.03 3.10