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Boundary layer analysis in nanofluid flow past a permeable moving wedge in presence of magnetic field by using Falkner – skan model

Ali M., Alim M. A.

International Journal of Applied Mechanics and Engineering

2018

Vol. 23, no. 4

1005--1013

In the present work, the effect of various dimensionless parameters on the momentum, thermal and concentration boundary layer are analyzed. In this respect we have considered the MHD boundary layer flow of heat and transfer over a porous wedge surface in a nanofluid. The governing partial differential equations are converted into ordinary differential equations by using the similarity transformation. These ordinary differential equations are numerically solved using fourth order Runge–Kutta method along with shooting technique. The present results have been shown in a graphical and also in tabular form. The results indicate that the momentum boundary layer thickness reduces with increasing values of the pressure gradient parameter β for different situations and also for the magnetic parameter M but increases for the velocity ratio parameter λ and permeability parameter K*. The heat transfer rate increases for the pressure gradient parameter β, velocity ratio parameter λ, Brownian motion parameter Nb and Prandtl number Pr but opposite result is found for the increasing values of the thermoporesis parameter Nt. The nanoparticle concentration rate increases with an increase in the pressure gradient parameter β, velocity ratio parameter λ, Brownian motion parameter Nb and Lewis number Le, but decreases for the thermoporesis parameter Nt. Finally, the numerical results has compared with previously published studies and found to be in good agreement. So the validity of our results is ensured.

Effect of radiation on mixed convection boundary layer flow along a vertical cylinder

Hossain M. A., Alim M. A., Takhar H. S.

Applied Mechanics and Engineering

1998

Vol. 3, no 3

393-404

Mixed convection flow of an optically dense viscous incompressible fluid along a vertical cylinder including the effects of radiation has been studied when the surface temperature is kept uniform. With appropriate transformations, the boundary layer equations governing the flow are reduced to local non-similarity equations. Solutions to the governing equations are obtained by employing an implicit finite difference method together with the Keller box scheme, as well the local non-similar method with a second order trunction, for values of the transverse curvature parameter, x, in the range [0,10]. Effects of the pertinant parameters, such as the radiation parameter, Rd, the surface temperature parameter, qw, and the buoyancy parameter W , taking Prandtl number, Pr, equal to 0.7, on the local skin-friction and the local Nusselt are explored in this stidy.