Collocation method solution with radial basis functions of the 2D energy equation

This paper describes the collocation method with radial basis functions (RBFCM) of the 2D energy equation for Newtonian and non - Newtonian fluids, These fluids are widely used in polymer processing in various processes like extrusion, blow molding, and injection molding. The 2D energy equation involves specially the variation of the thermal properties with temperature and the viscous dissipation term. The boundary conditions are of Dirichlet, Neumann and Robin Type. The accuracy of the solution is assessed by comparison with well known analytical solutions and numerical procedures, such as, benchmark test, found in the literature. The problem of the fluid between the two parallel plates is completely simulated using RBFCM. It is clear the accuracy of the RBFCM solution assessed by comparison with the analytical solution and the DRBEM numerical solution.