Problem *5.28[Difficulty: 2]Given:Stream function for an incompressible flow field:ψUrsinθ()q2πθFind:(a) Expression for the velocity field(b) Location of stagnation points(c) Show that the stream function is equal to zero at the stagnation points.Solution:We will generate the velocity field from the stream function.rVrVr1GoverningEquations:(Definition of stream function)Taking the derivatives of the stream function:VrUcosθq2πrVθU sinθeUeRqUVrˆsinˆ2cosSo the velocity field is:To find the stagnation points we must find the places where both velocity components are zero. When
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