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RESEARCH PAPERS

Electron Heat Transfer in a Quiescent Nonequilibrium Plasma

[+] Author and Article Information
E. V. McAssey

Department of Mechanical Engineering, Villanova University, Villanova, Pa.

Hsuan Yeh

Towne School of Civil and Mechanical Engineering, University of Pennsylvania, Philadelphia, Pa.

J. Heat Transfer 92(3), 447-455 (Aug 01, 1970) (9 pages) doi:10.1115/1.3449688 History: Received September 15, 1969; Online August 11, 2010

Abstract

An asymptotic solution has been obtained for the electron heat transfer to a spherical body immersed in a weakly ionized, quiescent plasma. Dimensional analysis of the governing equations shows that the problem can be divided into two regions: charge-separated and quasi-neutral. For the charge-separated region, the equations must be solved numerically, whereas the quasi-neutral solution can be expressed in closed form. From these studies it was found that the extent of the charge-separated region (i.e, sheath) is of the order of Λ2/3 . Within the sheath the effects of ionization and recombination are of the order of Λ4/3 . The results include the variation of electron flux, electron heat transfer, and current as a function of body potential. The results are presented in a form to permit the easy determination of the electron heat transfer to a body immersed in a quiescent, weakly ionized plasma over a wide range of operating conditions. Furthermore, the electrical characteristics presented here can be used in conjunction with electron heating data to treat the body as a probe for diagnostic purposes.

Copyright © 1970 by ASME
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