In this paper, we investigate the influence of non uniform heat source/sink and thermal radiation on magnetohydrodynamic flow past a slendering surface with the influence of thermophoresis and Brownian effects. The governing non-linear flow problem is solved numerically by the aid of RK based shooting method. Influence of dimensionless parameters on the velocity, temperature and concentration profiles are explored through graphical illustrations. Skin friction factor, Nusselt and Sherwood numbers are presented and discussed. Rising values of magnetic and thermophoresis parameters increase the thermal and concentration distributions. Boosting values of Brownian motion parameter enhance the Nusselt and Sherwood numbers.

Sivaraj R

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Kumaran G

Makinde O.D

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Defect and Diffusion Forum

The present work deals with the numerical study of two-dimensional incompressible, magnetohydrodynamic Falkner-Skan flow of Carreau nanofluid over wedge, plate and stagnation of the flat plate with convective boundary condition and chemical reaction. The influence of thermophoresis and Brownian motion are taken into account. Similarity transformations are utilized to transform the governing equations into a system of non-linear ordinary differential equations and solved numerically using Runge–Kutta Fehlberg scheme. A comparison has been made with the published results which reveals a good agreement. The influence of different physical parameters on flow, temperature and nanoparticle concentration distributions have been discussed in detail. A constitutional analysis has been made for skin friction coefficient, heat and mass transfer rates. Results elucidate that the influence of magnetic parameter on velocity is high over flat plate compared with wedge and stagnation point of the flat plate. Heat transfer performance is higher on shear thinning fluid compared with shear thickening fluid. Further, an increase in Brownian motion decreases the heat transfer rate but enhances the mass transfer rate. © 2019, EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

The European Physical Journal Special Topics

Hydromagnetic forced convective flow of Carreau nanofluid over a wedge/plate/stagnation of the plate

Fulltext

Alexandria Engineering Journal

Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slendering stretching surface with slip effects

The influence of thermal radiation on a two-dimensional non-Newtonian fluid flow past a slendering stretching surface is investigated theoretically. Casson and Williamson fluid models are considered with Soret and Dufour effects. The transformed ODEs are solved numerically using the bvp5c Matlab package and dual solutions are executed for Casson and Williamson fluid cases. The influence of various parameters, namely, thermal radiation parameter, cross diffusion parameters and slip parameters on velocity, thermal and concentration distributions are discussed with the assistance of graphs. The local Nusselt and Sherwood numbers are computed and presented through tables. It is observed that the influence of cross diffusion is higher on Williamson flow when equated with the Casson flow.

Thermal Radiation Effect on Non-Newtonian Fluid Flow over a Stretched Sheet of Non-Uniform Thickness

This study covers a numerical investigation of gyrotactic microorganisms contained MHD flow over a vertical plate bearing thermal radiation, thermophoresis, Brownian motion, chemical reaction and inclined magnetic field effects. With the assistance of similarity transforms, the derived governed equations are transformed as set of ODEs and solved numerically by R-K and Newton’s methods. Graphs are exhibited and explained for various parameters of interest. For engineering interest, we mainly talked about the Skin friction coefficient, reduced Sherwood, Nusselt numbers and density of motile microorganisms. We noticed a rise in the heat transfer rate of motile microorganisms for rising values of the thermophoresis and Brownian motion parameters. Increasing values of the aligned angle hikes the drag force.

Journal	Defect and Diffusion Forum
Publisher	Trans Tech Publications, Ltd.
ISSN	10120386
Open Access	No