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In this study, heat and mass transfer flow of a viscoelastic (Walter’s liquid-B model) nanofluid over a stretching sheet with slip velocity condition is considered. The governing equations for the model which is non-linear partial differential equations are first transformed by using similarity transformation. Runge-Kutta-Fehlberg (RKF) method is employed to solve the transformed ordinary differential equations. Numerical solutions are obtained for the reduced Nusselt number, the Sherwood number and the skin friction coefficient. It is found that the Walter’s viscoelastic nanofluid provided the higher heat and mass transfer rate compared to the ordinary nanofluid and the presence of the velocity slip reduces the effects of the stretching parameter on the skin friction coefficient. [ABSTRACT FROM AUTHOR]

In this paper, the boundary layer magnetohydrodynamics (MHD) flow of Williamson nanofluids over a stretching sheet with Newtonian heating in the presence of thermal radiation effect is analyzed. Using a similarity transformation, the governing equations are reduced to a set of nonlinear ordinary differential equations (ODEs). These equations are solved numerically using a shooting method. The effects of Williamson parameter, magnetic parameter, radiation parameter, Prandtl number, Lewis number, Schmidt number, heat capacities ratio, thermophoretic diffusivity and conjugate parameter on velocity, temperature and concentration fields are shown graphically and discussed. It is found that the rate of heat transfer is higher for Williamson nanofluids compared to the classical viscous fluid. Also, the comparisons with existing results are provided in the literature. [ABSTRACT FROM AUTHOR]

In this paper, the effect of Magnetohydrodynamic (MHD) towards the flow and heat transfer for the upper - convected Maxwell (UCM) fluid over a stretching/shrinking sheet with prescribed heat flux (PHF) is considered. The governing equations are transformed into a set of ordinary differential equations (ODEs) by using the similarity transformation. Shooting technique is applied to solve the transform ODEs. Numerical solutions of the local temperature, reduced skin friction coefficient, velocity and temperature profiles are obtained. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the magnetic parameter M, the suction parameter S,thestretching/shrinking parameter S and the Maxwell parameter β are analyzed and discussed. [ABSTRACT FROM AUTHOR]

In this paper, the effect of Magnetohydrodynamic (MHD) towards the flow and heat transfer for the upper - convected Maxwell (UCM) fluid over a stretching/shrinking sheet with prescribed heat flux (PHF) is considered. The governing equations are transformed into a set of ordinary differential equations (ODEs) by using the similarity transformation. Shooting technique is applied to solve the transform ODEs. Numerical solutions of the local temperature, reduced skin friction coefficient, velocity and temperature profiles are obtained. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the magnetic parameter M, the suction parameter S,thestretching/shrinking parameter ε andthe Maxwell parameter β are analyzed and discussed. [ABSTRACT FROM AUTHOR]

The effects of rotation on coupled heat and mass transfer by unsteady magnetohydrodynamic (MHD) free convection flow in a porous medium past an infinite inclined plate has been investigated. Exact solution using Laplace transforms technique has been obtained for the velocity, temperature and concentration fields. The analytical expressions for nondimensional skin-friction, Nusselt number and Sherwood number have been computed. The solutions of rotation parameters and inclination angle influences the flow fields have been discussed in detail. It is found that inclination angle tend to retard fluid flow in the primary and secondary flow directions, whereas rotation has a retarding influences on the primary flow direction but to accelerate in the secondary flow direction. [ABSTRACT FROM AUTHOR]

In this study, the steady magnetohydrodynamic (MHD) boundary layer flow over a stretching sheet with radiation effect under convective boundary conditions, where the heat is supplied to the convecting fluid through a bounding surface with a finite heat capacity, is considered. The governing system of partial differential equations is transformed into ordinary differential equations, which are then solved numerically via the Keller-box method. The effects of the governing parameters on the flow and heat transfer characteristics are analyzed and discussed. It is found that as the Prandtl number Pr and the radiation parameter increase, the temperature profile decreases, while as the magnetic and convective parameters decrease, the temperature profile also decreases. [ABSTRACT FROM AUTHOR]

In this paper, the mathematical model of free convection boundary layer flow over a permeable vertical flat plate embedded in a porous medium under the mixed thermal boundary conditions and radiation effects is considered. The transformed governing equations are solved numerically using the shooting method. Numerical solutions are obtained for the local wall temperature, the heat transfer coefficient, as well as the temperature profiles. The features of the flow and heat transfer characteristics for different values of the radiation parameter, the mixed thermal boundary condition parameter and the suction or injection parameter are analyzed and discussed. [ABSTRACT FROM AUTHOR]