Author(s)

Adnan Ahmad¹, Zaib Un Nisa², Mudassar Nazar^1,3*, Muhammad Imran Asjad⁴, Mushtaq Ahmad¹

¹Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.
²Department of Mathematics, University of Education Lahore, Multan Campus, Multan, Pakistan.
³School of Mathematical Sciences, University of Science and Technology of China, Hefei, China.
⁴Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Natural convection flow of unsteady Maxwell fluid with the effects of constant magnetic force in the course of a porous media is investigated in this research work. Fluid motion between a channel of parallel plates is tempted by time dependent shear stress applied on one plate. The governing partial differential equations of a model under consideration are transformed into ordinary differential equations by Laplace transform method and then solved for temperature and velocity fields. The obtained results for temperature fields are expressed in terms of complementary error function. The influences of involved parameters likes Hartmann number, Grashf number, Prandlt number and porosity parameter, on temperature and velocity profiles are shown graphically. There is no such result regarding Maxwell fluid in the existing literature.

Natural Convection, Maxwell Fluid, Hot Parallel Plates, MHD, Porous Media, Shear Stress

Ahmad, A. , Nisa, Z. , Nazar, M. , Asjad, M. and Ahmad, M. (2022) Influence of Hartmann Number on Convective Flow of Maxwell Fluid between Two Hot Parallel Plates through Porous Medium Subject to Arbitrary Shear Stress at the Boundary. Journal of Applied Mathematics and Physics, 10, 160-171. doi: 10.4236/jamp.2022.101012.