Heat Transfer Analysis using Finite Element Method under Convective Boundary Condition

Abstract

The model in this study scrutinizes the effect of convective boundary conditions on the flow of a nanofluid across permeable flat plate. The fundamental equations get altered into a nonlinear form through choosing appropriate similarity transformations. In the process, they are solved mathematically by substantiated FEM code through use of variational finite element method. The outcomes clearly show the characteristics of relevant parameters such as temperature and velocity profiles. When the numerical analysis is evaluated in context of formerly published information, the reliability of the numerical code is conformed. Its found that there is a surge in thermal conductivity when proportion of nanoparticles rises in the fluid. Permeability of plate has a significant influence on the heat transfer and skin friction. The investigation supports the possibility of extending the work to flows of non-Newtonian fluid, three dimensional and for consideration of pressure gradients on arbitrary surfaces. The results practically aid the design of heat transfer systems for futuristic technology involving heat enhancement.