A hydrofoil runs at at a depth of below the surface of a lake (fresh water,

PHYSICS · Subjective · Fermi University Physics · Fluids & Continuum Physics · Kinematics, conservation laws and ideal flow · Solid continuum mechanics and complex fluids

Bending, Ringing, Breaking and Flowing, Ch Bubbles, drops and cavitation

Problem

A hydrofoil runs at U=12 m s−1U = 12\,\mathrm{m\,s^{-1}} at a depth of 3 m3\,\mathrm{m} below the surface of a lake (fresh water, ρ=1000 kg m−3\rho = 1000\,\mathrm{kg\,m^{-3}}, vapour pressure pv=2.3 kPap_v = 2.3\,\mathrm{kPa}). The atmospheric pressure at the surface is 101.3 kPa101.3\,\mathrm{kPa} and g=9.8 m s−2g = 9.8\,\mathrm{m\,s^{-2}}. The foil's minimum pressure coefficient is Cp,min⁡=−1.2C_{p,\min} = -1.2. Find the cavitation number of the flow and state whether the foil cavitates.

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