Thermal Spreading Resistance of Hyperelliptical Heat Source

This paper aims to calculate the thermal spreading resistance for a hyperellipse on a half space, with uniform heat flux. The effect of shape and aspect ratio on a steady state averaged temperature and the centroid temperature based thermal spreading resistance is studied. The square root of source area and characteristic dimension are assumed as characteristic length scales to obtain the results. A compact correlation of averaged temperature based spreading thermal resistance is developed for hyperellipitical source area.