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research-article

Heat transfer from particles confined between two parallel walls

[+] Author and Article Information
Ashok S. Sangani

Department of Biomedical and Chemical Engineering, Syracuse University, Syracuse, New York, 13210, USA
asangani@syr.edu

1Corresponding author.

ASME doi:10.1115/1.4041802 History: Received August 01, 2018; Revised September 27, 2018

Abstract

The rate of heat conduction (or mass transfer by diffusion) from a cylindrical or spherical particle confined between two walls is determined as a function of the position and the radius of the particle. It is shown that the appropriate Green's function can be determined using the method of images even when the resulting series is divergent with the help of Shanks transformation. Asympotic expansions for small particle radius compared to the gap between the walls are combined with the expressions for the case in which the gap between the particle and one of the walls is small compared to the particle radius to provide formulas that are surprisingly accurate for estimating the rate of heat transfer for the entire range of parameters that include the radius and the position of the particle. Results are also presented for the thermal dipole induced by a sphere placed between two walls with unequal temperatures and these are used to predict the effective thermal conductivity of thin composite films containing spherical particles.

Copyright (c) 2018 by ASME
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