title: Effects of wall shear stress on unsteady MHD conjugate flow in a porous medium with ramped wall temperature.
abstract: This study investigates the effects of an arbitrary wall shear stress on unsteady magnetohydrodynamic (MHD) flow of a Newtonian fluid with conjugate effects of heat and mass transfer. The fluid is considered in a porous medium over a vertical plate with ramped temperature. The influence of thermal radiation in the energy equations is also considered. The coupled partial differential equations governing the flow are solved by using the Laplace transform technique. Exact solutions for velocity and temperature in case of both ramped and constant wall temperature as well as for concentration are obtained. It is found that velocity solutions are more general and can produce a huge number of exact solutions correlative to various fluid motions. Graphical results are provided for various embedded flow parameters and discussed in details.
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Malaysia.
authors.forename: Arshad
authors.initials: A
authors.lastname: Khan
authors.affiliation: College of Engineering, Majmaah University, Majmaah, Saudi Arabia.
authors.forename: Ilyas
authors.initials: I
authors.lastname: Khan
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Malaysia.
authors.forename: Farhad
authors.initials: F
authors.lastname: Ali
authors.affiliation: City University of Science and Information Technology, Peshawar, Pakistan.
authors.forename: Sami
authors.initials: S
authors.lastname: Ulhaq
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Malaysia.
authors.forename: Sharidan
authors.initials: S
authors.lastname: Shafie
mesh_terms: D057446:Hydrodynamics; D008962:Models, Theoretical; D016062:Porosity; D013314:Stress, Mechanical; D013696:Temperature; D014783:Viscosity