Calculus-Based Model of Temperature and Velocity with Convective Boundary Conditions Method of Homotopy Analysis

Abstract

The goal of this work is to provide a mathematical model for the study of temperature and velocity partial differential equations with convective boundary conditions. The nonlinear partial differential equation that governs is solved using the Homotopy Analysis Method. Plotting temperature and velocity on a graph allows one to examine the behaviors of the various factors. We analyze and provide in tabular form the impact of skin friction and the local Nusselt number on different parameters.