Answers are grounded in this paper and cite their sources.
Heat transport at the microscale is of vital importance in microtechnology applications. The heat transport equation is different from the traditional heat diffusion equation because a second-order derivative of temperature with respect to time and a third-order mixed derivative of temperature with respect to space and time are introduced. In this study, we consider the heat transport equation in three-dimensional spherical coordinates and develop a three-level finite-difference scheme for solving the heat transport equation in a microsphere. It is shown that the scheme is unconditionally stable. The method is illustrated by numerical examples.
No takes yet. Share an insight, caveat, or question.
Dai et al. (2004) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: