Mechanical & Materials Engineering, Department of

 

Date of this Version

2008

Comments

Published in International Journal of Heat and Mass Transfer 51 (2008) 4676–4690; doi:10.1016/j.ijheatmasstransfer.2008.02.020

Abstract

Steady-state components of heat conduction solutions may have very slowly convergent series for temperatures and non-convergent heat fluxes for temperature boundary conditions. Previous papers have proposed methods to remove these convergence problems. However, even more effective procedures based on insights of Morse and Feshbach are given herein. In some cases it is possible to replace poorly-convergent or non-convergent series by closed-form algebraic solutions. Examples are given.

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