Boundary Layers on Characteristic Surfaces for Time-Dependent Rotating Flows

[+] Author and Article Information
R. F. Gans

Department of Mechanical Engineering, University of Rochester, Rochester, N.Y. 14627

J. Appl. Mech 50(2), 251-254 (Jun 01, 1983) (4 pages) doi:10.1115/1.3167027 History: Received June 01, 1982; Revised June 01, 1982; Online July 21, 2009


Time-dependent motion of a fluid in a container rotating at Ω is characterized by boundary layers on the container surfaces if ν/Ω, where ν denotes kinematic viscosity, is small compared to the square of a typical length of the container. Let the frequency of the motion, measured in a corotating coordinate system, be ωΩ. If ω ~ 1, then the length scale of the boundary layer is (ν/Ω)1/2 , unless |ω| is equal to twice the normal component of the unit rotation vector. If |ω| does equal twice the normal component of the unit rotation vector, scales of (ν/ΩL2 )1/3 L and (ν/ΩL2 )1/4 L are possible. If the normal vector and rotation vectors are parallel, the former scale vanishes.

Copyright © 1983 by ASME
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