Abstract
Heat transfer characteristics of a steady, two dimensional, magnetohydrodynamic boundary layer flow of Casson nanofluid over a wedge have been investigated by incorporating the effects of Brownian motion and thermophoresis. The flux of volume fraction of nanoparticles is taken zero on the boundary. Using suitable similarity transformation, the governing partial differential equations for the modelling of boundary layer flow are reduced to ordinary differential equations. The resulting coupled non-linear ordinary differential equations are successfully solved numerically with the help of variational finite element method. To validate the present analysis the numerical results are compared with previously published work available in the literature and they found to be in good agreement. The effects of the flow controlling parameters on velocity, temperature and nanoparticle volume fraction profiles are investigated. The skin-friction co-efficient, Nusselt number and Sherwood number presented for several set of values of the physical parameters and salient features are analyzed.
Highlights
As the governing equations of non-Newtonian fluids are highly nonlinear and much more complicated than those of Newtonian fluids, much care is needed in investigating such fluids for the understanding of the flow characteristics of a non-Newtonian fluid
Ibrahim and Makinde [24] examines the effect of slip and convective boundary condition on magnetohydrodynamic (MHD) stagnation point flow and heat transfer due to Casson nanofluid past a stretching sheet
To the best of authors knowledge, the Casson nanofluid boundary layer flow over a wedge under the influence of magnetic field has not yet addressed in the available literature. Keeping this fact in mind, the present study investigates the flow and heat transfer characteristics for a Casson nanofluid on a wedge under the influence of uniform transverse magnetic field
Summary
As the governing equations of non-Newtonian fluids are highly nonlinear and much more complicated than those of Newtonian fluids, much care is needed in investigating such fluids for the understanding of the flow characteristics of a non-Newtonian fluid. Kafoussias and Nanousis [10] investigated the MHD laminar boundary-layer flow of a non-Newtonian fluid over a permeable wedge. Swati Mukhopadhyay et al [11] investigated boundary layer forced convection flow of a Casson fluid past a symmetric wedge. Kishan [12, 13] studied MHD heat transfer to non-newtonian power-law fluids flowing over a wedge. Haq [21] studied heat transfer and MHD effects on Casson nanofluid flow over a shrinking sheet. Ibrahim and Makinde [24] examines the effect of slip and convective boundary condition on magnetohydrodynamic (MHD) stagnation point flow and heat transfer due to Casson nanofluid past a stretching sheet. The effects of the various flow controlling parameters on velocity, temperature and nanoparticle volume fraction have been investigated numerically and analyzed with the help of their graphical representations
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