Bob uses a computational fluid dynamics code to model steady flow of an incompressible

Chapter 9, Problem 9-119

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Bob uses a computational fluid dynamics code to model steady flow of an incompressible fluid through a twodimensional sudden contraction as sketched in Fig. P9119. Channel height changes from H1 5 12.0 cm to H2 5 4.6 cm. Uniform velocity V ! 1 5 18.5i ! m/s is to be specified on the left boundary of the computational domain. The CFD code uses a numerical scheme in which the stream function must be specified along all boundaries of the computational domain. As shown in Fig. P9119, c is specified as zero along the entire bottom wall of the channel. (a) What value of c should Bob specify on the top wall of the channel? (b) How should Bob specify c on the left side of the computational domain? (c) Discuss how Bob might specify c on the right side of the computational domain.

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