Exact travelling wave solutions of the Jeffery-Hamel flow of a non-Newtonian fluid using sine-cosine method

Abstract

In this study, we aim to determine the exact travelling wave solutions of the Jeffery-Hamel (JH) flow of a non-Newtonian fluid (NNF), specifically Casson fluid (CF). By employing the conformation transform, we successfully reduce the governing nonlinear partial differential equation (NPDE) to an ordinary differential equation (ODE). To ascertain the exact solutions of the JH flow of a NNF in the field of civil, chemical, mechanical, environmental and bio-mechanical engineering, among others, we utilized the sine-cosine method. The numerical simulations are performed by using Mathematica. Influence of emerging parameters on converging and diverging channels are established through graphical veil.