Accurate Solution of Steady State Temperature Field of 2D-FGM Plate Under Convective Heat Transfer Boundary

To study the accurate solution to the heat conduction problem, the thermal conductivity and convective heat transfer coefficients of the material were assumed to follow the same exponential functions, based on the 2D differential equation of heat conduction in solids. The accurate solution to the steady temperature field of 2D-FGM plate was obtained with variable separation method under convective heat transfer. The outcome was verified by the FEM. The analysis shows that the temperature field of 2D-FGM plate can be optimized by changing parameters of thermal conductivity, fluid medium temperature, heat transfer coefficient and geometry dimensions of structure. The accurate solution can be used as a reference standard for the approximate solution of the temperature field of the FGM plate.