An incompressible flow in cylindrical coordinates is given


An incompressible flow in cylindrical coordinates is given by:

u_r = Kcos(theta)(1-(b/(r^2))) u_(theta) = -Ksin(theta)(1+(b/(r^2))), u_z = 0

a) Does this field satisfy continuity?

b) For consistency, what should the dimensions of the constants K and b be?

c) Sketch the surface where u_r = 0 and interpret this flow field

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Mechanical Engineering: An incompressible flow in cylindrical coordinates is given
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