Question: Unsteady annular flows? (a) Obtain a solution to the Navier-Stokes equation for the start-up of axial annular flow by a sudden impressed pressure gradient. Check

Unsteady annular flows?

(a) Obtain a solution to the Navier-Stokes equation for the start-up of axial annular flow by a sudden impressed pressure gradient. Check your result against the published solution.

(b) Solve the Navier-Stokes equation for the unsteady tangential flow in an annulus. The fluid is at rest for t < 0. Starting at t = 0 the outer cylinder begins rotating with a constant angular velocity to cause laminar flow for t > 0. Compare your result with the published solution.

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Unsteady annular flows For the tangential annular flow part b the equation of motion for vort is P 200 t with v r0 0 vKRt kRQ vRt RQ We introduce thes... View full answer

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