The magnetohydrodynamics (MHD) boundary layer flow of nanofluids past a permeable moving flat plate with convective heating at the plate surface has been studied. The nanofluids considered contain water as the base fluid with copper (Cu) or Alumina (Al2O3) as the nanoparticles. The model equations are obtained and solved numerically by applying shooting iteration technique together with the fourth order Runge-Kutta-Fehlberg integration scheme. The influence of pertinent parameters on velocity, temperature, skin friction and Nusselt number are investigated. The obtained results are presented graphically and the physical aspects of the problem discussed quantitatively

The combined effects of Navier slip and Newtonian heating on an unsteady hydromagnetic boundary layer stagnation point flow towards a flat plate in the presence of a magnetic field are studied. The self-similar equations are obtained using similarity transformations and solved numerically by a shooting algorithm with a Runge-Kutta Fehlberg integration scheme. The velocity profiles, temperature profiles, the local skin friction coefficient, and the local Nusselt number are computed and discussed in details for various values of the different parameters. Numerical results are presented both in tabular and graphical forms, illustrating the effects of these parameters on the thermal and concentration boundary layers. It is revealed that the thermal boundary layer thickens with a rise in the flow unsteadiness and as Newtonian heating intensifies, while the local skin friction and the rate of heat transfer at the plate surface change significantly due to the slip parameter.

The paper studies the mixed convection flow of an incompressible Boussinesq fluid under the simultaneous action of buoyancy and transverse magnetic field with Soret and Dufour effects over a vertical porous plate with constant heat flux embedded in a porous medium. Under suitable nondimensionalization, the governing non-linear coupled differential equations are solved numerically using shooting quadrature. Tabular and graphical results are presented and discussed quantitatively. Results obtained which compare favourably well with published data show that the local skin friction is enhanced by the Sorets and Dufour effects.