title: Influence of Magnetic Field in Three-Dimensional Flow of Couple Stress Nanofluid over a Nonlinearly Stretching Surface with Convective Condition.
abstract: This article investigates the magnetohydrodynamic (MHD) three-dimensional flow of couple stress nanofluid subject to the convective boundary condition. Flow is generated due to a nonlinear stretching of the surface in two lateral directions. Temperature and nanoparticles concentration distributions are studied through the Brownian motion and thermophoresis effects. Couple stress fluid is considered electrically conducting through a non-uniform applied magnetic field. Mathematical formulation is developed via boundary layer approach. Nonlinear ordinary differential systems are constructed by employing suitable transformations. The resulting systems have been solved for the convergent series solutions of velocities, temperature and nanoparticles concentration profiles. Graphs are sketched to see the effects of different interesting flow parameters on the temperature and nanoparticles concentration distributions. Numerical values are computed to analyze the values of skin-friction coefficients and Nusselt number.
authors.affiliation: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan.|Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
authors.affiliation: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan.
authors.forename: Arsalan
authors.initials: A
authors.lastname: Aziz
authors.affiliation: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan.
authors.forename: Taseer
authors.initials: T
authors.lastname: Muhammad
authors.affiliation: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Bashir
authors.initials: B
authors.lastname: Ahmad
mesh_terms: D018481:Convection; D057446:Hydrodynamics; D060526:Magnetic Fields; D036103:Nanotechnology; D017711:Nonlinear Dynamics; D013499:Surface Properties