Conduction in rectangular plates with boundary temperatures specified

James V. Beck; Neil T. Wright; A. Haji-Sheikh; Kevin D. Cole; Donald E. Amos

doi:10.1016/j.ijheatmasstransfer.2008.02.020

Conduction in rectangular plates with boundary temperatures specified

James V. Beck, Neil T. Wright, A. Haji-Sheikh, Kevin D. Cole, Donald E. Amos

Mechanical & Materials Engineering

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

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.

Original language	English (US)
Pages (from-to)	4676-4690
Number of pages	15
Journal	International Journal of Heat and Mass Transfer
Volume	51
Issue number	19-20
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2008.02.020
State	Published - Sep 2008

Keywords

Analytical solutions
Heat conduction
Improved convergence
Plates

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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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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AU - Beck, James V.

AU - Wright, Neil T.

AU - Haji-Sheikh, A.

AU - Cole, Kevin D.

AU - Amos, Donald E.

PY - 2008/9

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AB - 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.

KW - Analytical solutions

KW - Heat conduction

KW - Improved convergence

KW - Plates

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