Boundary Layer Analysis in Nanofluid Flow Past a Permeable Moving Wedge in Presence of Magnetic Field by Using Falkner – Skan Model

Abstract

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.

Numerical investigation of MHD flow of Williamson nanofluid with variable viscosity pasting a wedge within porous media: A non‐Darcy model approach

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Disquisition of thermophoresis and chemical reaction sketch in viscous stream over a wedge

“…The authors advanced a familiar equation called the Falkner–Skan equation, which has given much information regarding the deportment of incompressible boundary layers. Later many investigators, namely Mohammadi et al, 2 Devi and Gangadhar 3 , and Ali and Alim 4 have scrutinized the Falkner–Skan flow with divergent limiting conditions and flow parameters over a wedge.…”

A comparative study of Al2O3 and TiO2 nanofluid flow over a wedge with non-linear thermal radiation

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