(a) Expression for the velocity field (b) Show that flow field is irrotational (c) Plot several streamlines and illustrate velocity field Problem 5.81 [Difficulty: 3] Given: Flow field represented by a stream function. Find: Solution: We will apply the definition of circulation to the given velocity field. V 2 1 Governing Equation: (Definition of rotation) Assumptions: (1) Steady flow (2) Incompressible flow j x i y V ˆ 2 ˆ 2 From the definition of the stream function: u y ψ 2 y
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