Water at T = 20°C rotates as a rigid body about the z-axis
Chapter 10, Problem 38P(choose chapter or problem)
Problem 38P
Water at T = 20°C rotates as a rigid body about the z-axis in a spinning cylindrical container (fig. P10-43). There are no viscous stresses since the water moves as a solid body; thus the Euler equation is appropriate. (We neglect viscous stresses caused by air acting on the water surface.) Integrate the Euler equation to generate an expression for pressure as a function of r and z everywhere in the water. Write an equation for the shape of the free surface (z surface as a function of r). (Hint: P = Pm everywhere on the free surface. The flow is rotationally symmetric about the z-axis.)
FIGURE P10-43
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