3 A flow is called incompressible if its velocity satisfies vu0. Consider a one-

Question

3 A flow is called incompressible if its velocity satisfies vu0. Consider a one-dimensional radial flow in the (r0)-plane, which is given by urf(r) and ue- 0, where f is any differentiable ion. Determine the restrictions of f(r), so that the condition of incompressibility is satisfied A flow is called irrotational if its velocity satisfies V x u-o. Consider again a one-dimensional radial flow in the (re)-plane, which is described by ur 0 and ue f(r). Determine the restrictions of f(r), so that the condition of irrotationality is satisfied.

Explanation / Answer

Following are the restriction for f(r) of incompressible flow:

1. The flow speed u should be much less than the speed of sound.

2.  The wall should be impermeable.

3. The fluid should not slip relative to the wall.

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