Numerical Scheme by Legendre-Galerkin for Characterization of Micropolar-Maxwell Unsteady Fluid Model

Khaled M. Abdelgaber; Mohamed Fathy

doi:10.37934/araset.44.1.94104

Authors

Khaled M. Abdelgaber Department of Physics & Engineering, Mathematics, Faculty of Engineering - Mataria, Helwan University, Cairo, Egypt
Mohamed Fathy Basic and Applied Science Department, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport, Cairo, Egypt

DOI:

https://doi.org/10.37934/araset.44.1.94104

Keywords:

Stretching sheet, Micropolar fluid, Legendre, Galerkin, Maxwell fluid, Magnetic field

Abstract

In this dissertation, Micropolar-Maxwell unsteady fluid flow prior an expanding sheet is asymptotically investigated using an efficient Legendre-Galerkin technique in the existence of magnetic field. By employing fitting similarity mapping to the controlling partial differential equations, a system of nonlinear ordinary differential equations is obtained. In comparison to the prior studies, the suggested asymptotic outcomes are guaranteed. The impacts of elasticity/material parameters on velocity/micro-rotation profiles are shown and explored with the help of tables and figures to enhance the mechanical properties of the sheet.