The Analytical and Simplest Resolution of Linear Navier-Stokes Equations

Authors

S. A. Mohammadein, Mathematics Department, Faculty of Science, Tanta University, Tanta, EgyptFollow
Ali. S. Ali, Mathematics Department, Faculty of Science, Aswan University, Aswan, EgyptFollow
Maha. S. Ali, Mathematics Department, Faculty of Science, Tanta University, Tanta, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

The nonlinear Navier-Stokes equations are converted to the linear diffusion equations by Mohammadein (Appl. Math. & Info. Sci. Lett. (2020). The analytical solutions of linear Navier-Stokes equations only are obtained. In this paper, the pressure gradient is redefined by using Bernoulli concept. The peristaltic incompressible viscous Newtonian fluid flow in a horizontal tube is described by Navier-Stokes equations. The stream function described the flow patterns (laminar, transit and turbulent) for different values of wave lengths. The linear and nonlinear Navier-Stokes equations are satisfied by the obtained analytical solutions based on pressure gradient definition.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160622

Recommended Citation

A. Mohammadein, S.; S. Ali, Ali.; and S. Ali, Maha. (2022) "The Analytical and Simplest Resolution of Linear Navier-Stokes Equations," Applied Mathematics & Information Sciences: Vol. 16: Iss. 5, Article 22.
DOI: http://dx.doi.org/10.18576/amis/160622
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss5/22