Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 43, 2003 - Issue 6
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Original Articles

A THREE-LEVEL FINITE-DIFFERENCE SCHEME FOR SOLVING MICRO HEAT TRANSPORT EQUATIONS WITH TEMPERATURE-DEPENDENT THERMAL PROPERTIES

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Pages 509-523 | Published online: 02 Feb 2011
 

Abstract

Heat transport at the microscale is important for the processing of materials with a pulsed laser. In this study, we develop a three-level finite-difference scheme for solving micro heat transport equations with temperature-dependent thermal properties obtained based on the parabolic two-step model. It is shown by the discrete energy method that for constant thermal properties the scheme is unconditionally stable. Numerical results for thermal analysis of a gold film are obtained.

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