The Coupling Conduction Effects on Natural Convection Flow along a Vertical Flat Plate with Joule Heating and Heat Generation

Abstract

The out-turn of heat generation and Joule heating on natural convection flow through a vertical flat plate have been investigated in the given article. Joule heating and heat conduction due to wall thickness ‘b’ are esteemed as well in this analysis. With the intent to obtain similarity solutions to the problem being constituted, the evolved equations are made dimensionless employing appropriate transformations. The non-dimensional equations are then modified into non-linear equations by bringing into being a non-similarity transformation. The out-turn non-linear alike equations confine with their commensurate boundary conditions formed on conduction and convection are solved numerically applying the finite difference method accompanied by Newton’s linearization approximation. The numerical outcomes in terms of the skin friction coefficient, velocity, temperature, and surface temperature profiles are shown both graphically and in tabular forms for the different values of the parameters correlated with the problem.