Fluid Mechanics seventh edition by Frank M. White · Problem P3.17

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · continuity-equation-control-volume

Problem

Incompressible steady flow in the inlet between parallel plates in Fig. P3.17 is uniform, u=U0=8u = U_0 = 8 cm/s, while downstream the flow develops into the parabolic laminar profile u=az(z0−z)u = az(z_0 - z), where aa is a constant. If z0=4z_0 = 4 cm and the fluid is SAE 30 oil at 20°C, what is the value of umax⁡u_{\max} in cm/s?

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