TY - JOUR
TI - New analytical solution for solving steady-state heat conduction problems with singularities
AU - Laraqi Najib
AU - Monier-Vinard E
JN - Thermal Science
PY - 2013
VL - 17
IS - 3
SP - 665
EP - 672
PT - Article
AB - A problem of steady-state heat conduction which presents singularities is  solved in this paper by using the conformal mapping method. The principle of  this method is based on the Schwarz-Christoffel transformation. The  considered problem is a semi-infinite medium with two different isothermal  surfaces separated by an adiabatic annular disc. We show that the thermal  resistance can be determined without solving the governing equations. We  determine a simple and exact expression that provides the thermal resistance  as a function of the ratio of annular disc radii.