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