Study of special types of boundary layer natural convection flow problems through the clique polynomial method

Abstract

AbstractThis study proposed a new novel approach called the clique polynomial method (CPM) and applied it to the system of highly nonlinear ordinary differential equations (ODEs) associated with different cases of boundary layer natural convection fluid flow problems. Here, three specific problems are considered: (1) laminar film condensation of a fluid‐saturated flow with isothermal vertical plate; (2) natural convection boundary layer fluid flow; and (3) heat transfer boundary layer flow due to a stretching sheet. CPM results, which do not need small parameters, are compared with numerical results, and the outcomes are established to be in good agreement. The CPM is hugely proficient and a sensible choice for finding outcomes to this type of coupled nonlinear ODEs. The work is in outstanding accord for coupled nonlinear ODEs in engineering applications.