Title of article :
Particle rotation effects in Cosserat-Maxwell boundary layer flow with non-Fourier heat transfer using a new novel approach
Author/Authors :
Hafeez, M.B Department of Applied Mathematics and Statistics - Institute of Space Technology - Islamabad - 44000, Pakistan , Khan, M.S Department of Applied Mathematics and Statistics - Institute of Space Technology - Islamabad - 44000, Pakistan , Qureshi, I.H Department of Applied Mathematics and Statistics - Institute of Space Technology - Islamabad - 44000, Pakistan , Alebraheem, J Department of Mathematics - College of Sciences Al Zu i - Majmaah University - Majmaah - 11952, Saudi Arabia , Elmoasry, A Department of Mathematics - Faculty of Sciences - Aswan University - 81528 - Aswan, Egypt
Abstract :
The present study employs a non-classical approach to investigate different physical effects of Cosserat-Maxwell uid ow on the mechanism of non-Fourier heat
transfer mechanism. Furthermore, a new numerical approach was used and outlined to
compute and analyze the behavior of such kinds of
ow. In particular, continuous Galerkin- Petrov discretization scheme was included in this study using the shooting method to
obtain the numerical algorithm and solve the stagnation point
ow of Cosserat-Maxwell
uid with Cattaneo-Christov heat transfer. The mathematical description of the physical
problem was presented in the form of Partial Differential Equations (PDEs) governing
the
ow mechanism. Further, suitable transformations were utilized to describe the
governing PDEs in the forms of their respective ordinary dierential equations. Numerical
experiments were performed for a specic case with weak concentrations of the
ow near
the stretching surface, thereby allowing the microelement to rotate and generate vortex
ow
near the stretching surface. Buoyancy effects along with other interesting physical effects
were calculated, and the numerical results were presented for various
uidic situations.
Several signicant case studies were carried out to ensure the validity of the obtained
results. Moreover, the results were validated against those available in the limiting classical
continuum case in the literature and good agreement was found between them.
Keywords :
Boundary layer flow , Non-Fourier heat transfer , Buoyancy effects , Particle rotations , Cosserat Maxwell fluid , Galerkin-Petrov Finite Element method
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)