Eur. Phys. J. Plus (2020) 135: 26
https://doi.org/10.1140/epjp/s13360-019-00071-6

Regular Article

Heat transfer analysis of channel flow of MHD Jeffrey fluid subject to generalized boundary conditions

¹ Department of Mathematics, University of Management and Technology, Lahore, Pakistan
² Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
³ Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, 89125, Reggio Calabria, Italy
⁴ Center for Dynamics, Department of Mathematics, Technische Universität Dresden, 01062, Dresden, Germany
⁵ ICRIOS-The Invernizzi Center for Research on Innovation, Organization, Strategy and Entrepreneurship, Bocconi University, 20136, Milano, Italy

^* e-mail: ahmadian.hosseini@gmail.com

Received: 9 August 2019
Accepted: 16 October 2019
Published online: 8 January 2020

Abstract

Free convective, unsteady flow of Jeffrey liquid under the influence of magnetic field between two hot upright parallel plates fixed in porous medium is investigated in this paper. First plate is moving with time-dependent velocity in its own plane while other is fixed. Mathematical model is developed using law of conservation of momentum, Fourier’s law of heat transfer. Equations for temperature and velocity fields are reduced to dimensionless form by applying suitable dimensionless variables. The Laplace transform method is used to find exact solutions of temperature and velocity. Finally, we have presented the effects of material and flow parameters and illustrated graphically. As a result, through this study, we found that coefficient of heat transfer shows dual behavior for small and large time. Also, the obtained results are reduced to the recently published work.