Show that the power p needed to rotate the disc

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Reference no: EM131515105

Question: A thin flat disc of diameter D is rotated about a spindle through its center, at a speed of ω radians per second, in a fluid of density ρ and kinematic viscosity ν. Show that the power P needed to rotate the disc may be expressed as

Note: For (a) solve in terms of the index of ν and for (b) solve in terms of the index of ω. Further, show that ωD2/ν, PD/ρν3, and P/ρω3D5 are all nondimensional quantities.

Reference no: EM131515105

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