# Use of the vorticity equation (a) Work Problem 2B.3 using the

Question
Use of the vorticity equation (a) Work Problem 2B.3 using the y-component of the vorticity equation (Eq. 3D.2-1) and the following boundary conditions: at x = ±B, v = 0 and at x = 0, v = v , . Show that this leads to vz = vz, max [1 – (x)/B) ] then obtain the pressure from the z-component of the equation of motion.  (b) Work Problem 3B.6 (b) using the vorticity equation, with the following boundary conditions: at r = kR, v = v and at r = kR, v = v . In addition an integral condition is needed to state that there is no net flow in the z direction. Find the pressure in the system.

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