title: Time Dependent MHD Nano-Second Grade Fluid Flow Induced by Permeable Vertical Sheet with Mixed Convection and Thermal Radiation.
abstract: The aim of present paper is to study the series solution of time dependent MHD second grade incompressible nanofluid towards a stretching sheet. The effects of mixed convection and thermal radiation are also taken into account. Because of nanofluid model, effects Brownian motion and thermophoresis are encountered. The resulting nonlinear momentum, heat and concentration equations are simplified using appropriate transformations. Series solutions have been obtained for velocity, temperature and nanoparticle fraction profiles using Homotopy Analysis Method (HAM). Convergence of the acquired solution is discussed critically. Behavior of velocity, temperature and concentration profiles on the prominent parameters is depicted and argued graphically. It is observed that temperature and concentration profiles show similar behavior for thermophoresis parameter Νt but opposite tendency is noted in case of Brownian motion parameter Νb. It is further analyzed that suction parameter S and Hartman number Μ depict decreasing behavior on velocity profile.
authors.affiliation: Department of Mathematics, College of Science, Majmaah University, Al-Zulfi, Saudi Arabia.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Ramzan
authors.affiliation: Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University, Islamabad Campus, Islamabad, Pakistan.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Bilal
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical