1. A two-dimensional, incompressible flow is given by u = – y and . Show that the streamline passing through the point  and  is a circle centered at the origin.

2. In a certain steady, two-dimensional flow field the fluid density varies linearly with respect to the coordinate x: that is, = Ax where A is a constant. If the x component of velocity u is given by the equation u = y, determine an expression for v.



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