Consider the flat-walled diffuser in Fig. P7.51, which is similar to that of Fig. 6.26a with constant

Question:

Consider the flat-walled diffuser in Fig. P7.51, which is similar to that of Fig. 6.26a with constant width b, if x is measured from the inlet and the wall boundary layers are thin, show that the core velocity U(x) in the diffuser is given approximately by where W is the inlet height. Use this velocity with Thwaites€™ method to compute the wall angle θ for which laminar separation will occur in the exit plane when diffuser length L = 2W. Note that the result is independent of the Reynolds number.

Consider the flat-walled diffuser in Fig. P7.51

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