Affiliation:
1. Department of Mechanical Engineering, Tulane University, New Orleans, LA 70118
Abstract
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.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science
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17 articles.
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