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Unformatted text preview: zdirection through the annulus. Calculate the force F Z applied to the piston necessary to generate no net ow (volumetric owrate of zero). Equation oF continuity, cylindrical coordinates t + 1 r r ( ru r ) + 1 r ( u ) + z ( u z ) = 0 NavierStokes equations, cylindrical coordinates rmomentum: u r t + u r u r r + u r u r u 2 r + u z u r z = r 1 r r ( ru r ) + 1 r 2 2 u r 22 r 2 u + 2 u r z 2 P r + g r momentum: u t + u r u r + u r u + u z u z + u r u r = r 1 r r ( ru ) + 1 r 2 2 u 2 + 2 r 2 u r + 2 u z 2 1 r P + g zmomentum: u z t + u r u z r + u r u z + u z u z z = 1 r r r u z r + 1 r 2 2 u z 2 + 2 u z z 2 P z + g z...
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This note was uploaded on 08/21/2011 for the course ECH 2023 taught by Professor Butler during the Fall '10 term at University of Florida.
 Fall '10
 BUTLER

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