Laminar Free Convection Boundary-Layer Perturbations Due to Transverse Wall Vibration

[+] Author and Article Information
R. J. Schoenhals

Purdue University, West Lafayette, Ind.

J. A. Clark

Heat Transfer and Thermodynamics Laboratory, University of Michigan, Ann Arbor, Mich.

J. Heat Transfer 84(3), 225-233 (Aug 01, 1962) (9 pages) doi:10.1115/1.3684345 History: Received July 26, 1961


A perturbation technique is used to obtain analytically the velocity and temperature oscillations in a laminar free convection boundary layer on a plane wall vibrating transversely. The problem is divided into high and low values of ω4x where ω and x are, respectively, the dimensionless frequency and distance from the leading edge. Solutions are compared by plotting the oscillating components of the wall shear stress and temperature gradient. Results in the intermediate region of ω4x are estimated by extrapolation of the solutions obtained for each limiting region.

Copyright © 1962 by ASME
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