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Two solid plates are positioned so that they meet at a corner and are separated by the angle Za. The plates hinge at the comer
Two solid plates are positioned so that they meet at a corner and are separated by the angle Za. The plates hinge at the comer where they meet and are being closed at a constant rate with a fluid in between, expelling the fluid outwards. Use a cylindrical coordinate system and assume that Stokes' equation applies for the fluid between the plates, which is 2D in r and with v=0. a) Write down the appropriate boundary conditions for the velocities vr and v. b) Convert the boundary conditions from part (a) to boundary conditions on the stream function . c) Starting from the general solution for the stream function for 2D creeping flow provided in the notes, determine the stream function solution for the fluid between th plates
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