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NEW ANALYTICAL SOLUTION FOR SOLVING STEADY-STATE HEAT CONDUCTION PROBLEMS WITH SINGULARITIES

ABSTRACT
A problem of steady-state heat conduction which presents singularities is solved in this paper by using the conformal mapping method. The principle of this method is based on the Schwarz-Christoffel transformation. The considered problem is a semi-infinite medium with two different isothermal surfaces separated by an adiabatic annular disc. We show that the thermal resistance can be determined without solving the governing equations. We determine a simple and exact expression that provides the thermal resistance as a function of the ratio of annular disc radii.
KEYWORDS
PAPER SUBMITTED: 2012-08-26
PAPER REVISED: 2013-05-20
PAPER ACCEPTED: 2013-05-20
PUBLISHED ONLINE: 2013-06-16
DOI REFERENCE: https://doi.org/10.2298/TSCI120826070L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 3, PAGES [665 - 672]
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