Particle rotation effects in Cosserat-Maxwell boundary layer flow with non-Fourier heat transfer using a new novel approach

Document Type : Article

Authors

1 Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, 44000, Pakistan

2 Department of Mathematics, College of Sciences Al Zufli, Majmaah University, Majmaah, 11952, Saudi Arabia

3 - Department of Mathematics, College of Sciences Al Zufli, Majmaah University, Majmaah, 11952, Saudi Arabia. - Department of Mathematics, Faculty of Sciences, Aswan University, 81528, Aswan, Egypt

Abstract

In this article we use a non-classical approach to investigate different physical effects of Cosserat-Maxwell fluid flow with non-Fourier heat transfer mechanism. Furthermore, a new numerical approach is used and outlined for computing and analyzing the behavior of such flows. In particular, continuous Galerkin-Petrov discretization scheme is embedded with shooting method to get the numerical algorithm to solve the stagnation point flow of Cosserat-Maxwell fluid with Cattaneo-Christov heat transfer. The mathematical description of the physical problem is stated in the form of partial differential equations (PDEs) which govern the flow mechanism. Further, the suitable transformations are utilized to describe the governing PDEs into their respective ordinary differential equations. Numerical experiments are performed for a specific case where there are weak concentrations of the flow near the stretching surface thereby allowing the microelement to rotate and generate vortex flow near the stretching surface. Buoyancy effects along with other interesting physical effects are calculated and numerical results are presented for various fluidic situations. Several benchmark case studies were carried out for the validation of obtained results. Moreover, the results are also validated against the results available in the limiting classical continuum case in literature and a good agreement is found.

Keywords


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