The intention of this communication is to explore the characteristics of Lorentz force on the fluid transport properties of a chemically reacting nanofluid with two types of geometries. Simulations have been done to investigate the controlling equations utilizing Crank-Nicolson scheme. Influence of embedded parameters such as Hartman number, heat source/sink, Brownian diffusion, chemical reaction parameter and thermophoretic diffusivity is graphically presented. Tables demonstrate the significant impact of sundry parameters on skin-friction factor, heat and mass transfer rates. The achieved results expose that the Hartman number having high influences on the fluid flow and heat transfer characteristics.

Sivaraj R

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Basha H.T

Makinde O.D

Arora A

Singh A

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

In the present investigation, an analytical analysis has been carried out to study the influence of chemical reaction on MHD flow of a nanofluid in an expanding or contracting porous pipe in the presence of heat source/sink. The pipe wall expands or contracts uniformly at a time dependent rate. Similarity transformations have been invoked to reduce the governing flow equations into coupled nonlinear ordinary differential equations. An analytical approach, namely the homotopy analysis method (HAM) is employed to obtain the analytical solutions of the ordinary differential equations. The convergence of the obtained series solutions is analyzed. The effects of various physical parameters such as wall expansion ratio, Brownian motion parameter, thermophoresis parameter, Lewis number, chemical reaction parameter and heat source/sink parameter on flow variables have been discussed. Further, for the case of hydrodynamic viscous fluid, we find a good agreement between the HAM solutions and solutions already reported in the literature. © 2016 National Laboratory for Aeronautics and Astronautics

Fulltext

Propulsion and Power Research

MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink

The present study focuses on the effects of surface dependent heat source/sink, viscosity and thermal conductivity variations on unsteady flow of Casson fluid over a vertical cone and flat plate with the influence of thermal radiation, temperature dependent heat source/sink and higher order chemical reaction effects. The model which is constituted with highly nonlinear governing equations is solved numerically by an efficient finite difference scheme of Crank-Nicolson type. Numerical calculations are carried out and reported graphically for various parametric conditions to show interesting aspects of the solution on flow, heat and mass transfer characteristics of this problem. Results indicate that the hydrodynamic and thermal boundary layer thickness decrease for higher values of thermal radiation parameter. The fluid flow and heat transfer are appreciably influenced by the temperature dependent heat source/sink parameter. The flow and heat transfer characteristics of this problem are also regulated by surface dependent heat source/sink, viscosity and thermal conductivity variation parameters. © 2016 Elsevier B.V.

Journal of Molecular Liquids

Influence of higher order chemical reaction and non-uniform heat source/sink on Casson fluid flow over a vertical cone and flat plate

The present study focuses the effects of double dispersion, non-uniform heat source/sink and higher order chemical reaction on unsteady, free convective, MHD Casson fluid flow over a vertical cone and flat plate saturated with porous medium. The extensively validated and unconditionally stable numerical solutions are obtained for the governing equations of two dimensional boundary layer flow by using the finite difference scheme of Crank-Nicolson type. The behavior of velocity, temperature and concentration distributions for various controlling parameters of this problem are graphically illustrated and discussed in detail. The average skin friction, Nusselt number and Sherwood number for sundry parameters are presented in tables. Results indicate that an increase in Casson fluid parameter is found to decelerate fluid flow by increasing the plastic dynamic viscosity whereas it enhances the shear stress in the flow regime. The temperature-dependent heat source/sink plays a vital role on controlling the heat transfer however the surface-dependent heat source/sink also has notable influence on the heat transfer characteristics. It is to be noted that higher order chemical reaction has the tendency to dilute the influence of chemical reaction parameter on the species concentration.

International Journal of Engineering Research in Africa

Unsteady Magnetohydrodynamic Casson Fluid Flow over a Vertical Cone and Flat Plate with Non-Uniform Heat Source/Sink

The present paper is concerned with the study of flow, heat and mass transfer characteristics in the unsteady free convective flow of an incompressible viscoelastic fluid over a moving vertical cone and a flat plate in the presence of magnetic field and higher order chemical reaction. The fluid viscosity and thermal conductivity are assumed to vary as a linear function of temperature. The governing partial differential equations are solved numerically using the implicit finite difference method of Crank-Nicolson type. The features of the fluid flow, heat and mass transfer characteristics are analyzed by plotting graphs and the physical aspects are discussed in detail. The results obtained show that the impact of magnetic field, buoyancy ratio parameter, viscosity variation parameter, Ecart number and chemical reaction parameter plays an important role in the viscoelastic fluid flow through porous medium. The mass transfer of the reactive species strongly depends on the chemical reaction parameter as well as the order of chemical reaction. © 2012 Elsevier Ltd. All rights reserved.

International Journal of Heat and Mass Transfer

Heat and mass transfer in MHD viscoelastic fluid flow over a vertical cone and flat plate with variable viscosity

A study has been carried out to analyze the effects of variable electric conductivity, non-uniform heat source/sink and higher order chemical reaction on unsteady, free convective viscoelastic (Walters liquid model-B) fluid flow over a moving vertical cone and a flat plate saturated with porous medium. The constitutive equations for the boundary layer regime are solved by an efficient finite difference scheme of the Crank-Nicolson type. The features of the fluid flow, heat and mass transfer characteristics are analyzed by plotting graphs and the physical aspects are discussed in detail to interpret the effect of various significant parameters of the problem. It is observed that the impact of variable electric conductivity with magnetic field has significant effect on the viscoelastic fluid flow through porous medium. The effect of temperature dependent heat generation is much stronger than the effect of surface dependent heat generation. The mass transfer of the reactive species strongly depends on the chemical reaction parameter as well as the order of chemical reaction. It is stronger for the first-order reaction than that for the higher order reaction. © 2013 Elsevier Ltd. All rights reserved.

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