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) |
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Pages (from-to) | 4676-4690 |
Number of pages | 15 |
Journal | International Journal of Heat and Mass Transfer |
Volume | 51 |
Issue number | 19-20 |
DOIs | |
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