Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.
In this study, a new analytical model for temperature distribution inside anisotropic rectangular plates subjected to multiple cold/hotspots on the top and bottom surfaces is presented. All lateral faces are assumed to be insulated. 2-D Fourier expansion technique is used to transform the discrete Neumann boundary conditions on the top and bottom into a continuous form. The solution is first justified for the case with single hotspots on each side and then using the superposition principle, it is extended into the general form to cover multi-hotspot cases. The model is validated by numerical simulation data and a perfect agreement is observed. Thermal spreading resistance is defined for the anisotropic plate and a parametric study for optimization purpose is performed. The influence of anisotropy on the resistance is discussed in detail and critical values are evaluated.
