A fixed cylinder of diameter DD and length LL, immersed in a…

Written by Anonymous on April 19, 2026 in Uncategorized with no comments.

Questions

A fixed cylinder оf diаmeter DD аnd length LL, immersed in а unifоrm stream оf velocity UU flowing normal to its axis, experiences zero average lift when it is not rotating. However, when the cylinder rotates at angular velocity ΩOmega, a lift force FF is generated.Omega Neglect viscous effects. Using dimensional analysis, express the lift force relationship in dimensionless form. Select the correct answer: A. FρU2D2=f ⁣(ΩDU,LD)displaystyle frac{F}{rho U^2 D^2}=f!left(frac{Omega D}{U},frac{L}{D}right) B. FρU2D2=f ⁣(ΩρU,ULD)displaystyle frac{F}{rho U^2 D^2}=f!left(frac{Omega rho}{U},frac{UL}{D}right) C. FρU2D2=f ⁣(ΩD,ULD)displaystyle frac{F}{rho U^2 D^2}=f!left(frac{Omega}{D},frac{UL}{D}right) D. FρU2D2=f ⁣(ΩLU,ρD)displaystyle frac{F}{rho U^2 D^2}=f!left(frac{Omega L}{U},frac{rho}{D}right)

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