Eur. Phys. J. Plus (2018) 133: 353
https://doi.org/10.1140/epjp/i2018-12171-2

Regular Article

MHD free convection flow of a viscous fluid in a rotating system with damped thermal transport, Hall current and slip effects

¹ Abdus Salam School of Mathematical Science, GC University, Lahore, Pakistan
² Academy of Romanian Scientists, 050094, Bucharest, Romania
³ Department of Theoretical Mechanics, Technical University of Iasi, Iasi, Romania

^* e-mail: dumitru_vieru@yahoo.com

Received: 4 March 2018
Accepted: 30 July 2018
Published online: 6 September 2018

Abstract

Unsteady hydromagnetic free convection flows of a rotating incompressible viscous fluid over an infinite moving plate with fractional thermal transport are studied in the presence of heat source, Hall current and slip velocity effects. The modern definition of the fractional integral Caputo-Fabrizio operator with non-singular kernel is used in the constitutive equation for the thermal flux and closed form solutions for the dimensionless temperature and velocity components are established by using the Laplace transform technique. For comparison, the solutions for the ordinary fluid as well as those corresponding to the no-slip condition on the boundary are also determined. The influence of fractional, magnetic, Hall and rotation parameters as well as that of heat generation/absorption coefficient on the fluid motion and the heat transfer is graphically underlined and discussed. It is found that the damping of the thermal transport has significant influence on the fluid temperature and motion. The Hall current mainly affects the secondary flow.