Fluid Mechanics final project, Mechanical Engineering

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First we focus on the inner region fluid (0
(solid body rotation) around the z-axis. The steady incompressible velocity field is given

by ur=0 utheta=rw uz= 0. The pressure at the origin is equal to P intial. Using theappropriate component of momentum equation and neglecting gravity, obtain an

expression for the pressure filed in this region (0

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