title: Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid.
abstract: The steady boundary layer flow and heat transfer of a nanofluid past a nonlinearly permeable stretching/shrinking sheet is numerically studied. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation, which are then solved numerically using a shooting method. The local Nusselt number and the local Sherwood number and some samples of velocity, temperature and nanoparticle concentration profiles are graphically presented and discussed. Effects of the suction parameter, thermophoresis parameter, Brownian motion parameter and the stretching/shrinking parameter on the flow, concentration and heat transfer characteristics are thoroughly investigated. Dual solutions are found to exist in a certain range of the stretching/shrinking parameter for both shrinking and stretching cases. Results indicate that suction widens the range of the stretching/shrinking parameter for which the solution exists.
authors.affiliation: Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Perlis, Malaysia.
authors.forename: Khairy
authors.initials: K
authors.lastname: Zaimi
authors.affiliation: Centre for Modelling & Data Analysis, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia.
authors.forename: Anuar
authors.initials: A
authors.lastname: Ishak
authors.affiliation: Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania.
authors.forename: Ioan
authors.initials: I
authors.lastname: Pop