Laminar Free Convection From a Vertical Infinite Plate Subject to Transverse Oscillation

[+] Author and Article Information
Victor D. Blankenship

Aerospace Corporation, San Bernardino, Calif.

John A. Clark

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

J. Appl. Mech 31(3), 383-389 (Sep 01, 1964) (7 pages) doi:10.1115/1.3629652 History: Received May 03, 1963; Revised December 27, 1963; Online September 15, 2011


The laminar free-convection boundary layer on a vertical plane wall vibrating transversely at high frequencies is analyzed utilizing a perturbation technique. The zeroth-order solutions are that of the well-known steady free-convection flow. First-order harmonic oscillations in velocity and temperature and a second-order time-independent secondary flow and heat transfer are obtained. Series solution for shear stress and Nusselt number are presented having both time-dependent and time-independent terms. Prandtl numbers of 0.72 and 10 are investigated. The time-independent or steady Nusselt number was found to decrease while the shear stress was found to increase under the influence of oscillations.

Copyright © 1964 by ASME
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