Nonlinear stability and thermomechanical analysis of hydromagnetic Falknera??Skan Casson conjugate fluid flow over an angulara??geometric surface based on Buongiornoa??s model using homotopy analysis method and its extension

摘要

This paper aims to provide stability and thermomechanical analysis of hydromagnetic Falknera??Skan Casson conjugate fluid flow over an angulara??geometric wedge-shaped surface. Based on the Buongiornoa??s model,the governing boundary-layer equations are derived and solved iteratively using the homotopy analysis method (HAM). Furthermore, the HAM-series solution is optimised by minimising its squared residual errors. It is shown that the proposed approach can serve as an efficient criterion for accurately solving nonlinear problems.