International Journal of Heat and Mass Transfer, Vol.51, No.19-20, 4676-4690, 2008
Conduction in rectangular plates with boundary temperatures specified
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 oil 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. (c) 2008 Elsevier Ltd. All rights reserved.