RESEARCH PAPERS: Porous Media, Particles and Droplets

Transient Heat Transfer From a Particle With Arbitrary Shape and Motion

[+] Author and Article Information
Zhi-Gang Feng, E. E. Michaelides

Department of Mechanical Engineering, Tulane University, New Orleans, LA 70118

J. Heat Transfer 120(3), 674-681 (Aug 01, 1998) (8 pages) doi:10.1115/1.2824336 History: Received August 16, 1996; Revised March 24, 1998; Online December 05, 2007


A singular perturbation analysis and Green’s second theorem are used in order to obtain a general expression for the heat transfer from a particle at low Peclet numbers, when advection and conduction are heat transfer modes of comparable magnitude. The particle may have arbitrary shape, and its motion in the fluid is not constrained to be Stokesian. In the ensuring analysis, the governing equations for the temperature fields at short and long times are derived. The expressions are combined to yield a general equation for the temperature field and for the total rate of heat transfer. The final results for the rate of heat transfer demonstrate the existence of a history integral, whose kernel decays faster than the typical history integrals of the purely conduction regime. As applications of the general results, analytical expressions for the Nusselt number are derived in the case of a sphere undergoing a step temperature change.

Copyright © 1998 by The American Society of Mechanical Engineers
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