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.
Copyright © 2024 M. Abul Kawser, Md. Mahafujur Rahaman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. A. Kawser, M. M. Rahaman, Exact travelling wave solutions of the Jeffery-Hamel flow of a non-Newtonian fluid using sine-cosine method, J. Math. Comput. Sci. 14 (2024), 3. https://doi.org/10.28919/jmcs/8413
BibTeX
@article{Kawser2024,
author = {Kawser, M. Abul and Rahaman, Md. Mahafujur},
title = {Exact travelling wave solutions of the Jeffery-Hamel flow of a non-Newtonian fluid using sine-cosine method},
journal = {J. Math. Comput. Sci.},
volume = {14},
year = {2024},
pages = {3},
doi = {10.28919/jmcs/8413}
}