The present study explores the influence of viscous dissipation, Joule heating, and double dispersion on unsteady, free convective magnetohydrodynamics (MHD) flow of an incompressible Casson fluid over a vertical cone and flat plate saturated with porous medium subject to variable viscosity and variable electrical conductivity. The governing coupled, nonlinear partial differential equations are solved by Crank–Nicolson method. The effects of various significant parameters on flow, heat, and mass transfer characteristics are displayed in the form of figures and tables. The results indicate that the presence of variable viscosity parameter meagerly accelerates the fluid flow. It is observed that heat transfer is enhanced for increasing the thermal dispersion parameter and Eckert number.

Sivaraj R

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Benazir A.J

Rashidi M.M.

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

Comparison Between Casson Fluid Flow in the Presence of Heat and Mass Transfer From a Vertical Cone and Flat Plate

Journal of Heat Transfer

Present attempt reports the characteristics of nonlinear radiation and induced magnetic field on the forced convective Falkner-Skan flow of Single-Walled Carbon NanoHorn(SWCNH)/diamond-ethylene glycol (EG) and water nanofluid over a wedge, plate, and stagnation point. We consider 40:60 EG and water mixture as base fluid. Similarity transformations are utilized to transform the governing equations into ordinary differential equation and solved numerically using Runge–Kutta (RK) Fehlberg method. To check the accuracy of present model, numerical results for various Prandtl numbers have been compared with the results from the literature which divulges good agreement. Influence of active parameters like magnetic Prandtl number, magnetic parameter, radiation parameter, Biot number, Prandtl number and temperature parameter are graphically presented. Results exhibit that SWCNH nanoparticle has a higher heat transfer compared with diamond nanoparticle. Increasing the nanoparticle volume fraction with the suspensions of SWCNH and diamond nanoparticles enhances the temperature over the wedge, plate and stagnation point. © 2019, EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

The European Physical Journal Special Topics

SWCNH/diamond-ethylene glycol nanofluid flow over a wedge, plate and stagnation point with induced magnetic field and nonlinear radiation – solar energy application

Combination of electric and magnetic forces on charged molecules of flowing fluid in the presence of a significant electromagnetic fields on surfaces with a nonuniform thickness (as in the case of upper pointed surface of an aircraft and bonnet of a car which are examples of upper horizontal surfaces of a paraboloid of revolution—uhspr) is inevitable. In this study, the influence of imposed magnetic field and Hall effects on the flow of 29 nm CuO–water nanofluid over such object is presented. Suitable similarity variables were employed to nondimensionalize and parameterize the dimensional governing equation. The numerical solutions of the corresponding boundary value problem were obtained using Runge–Kutta fourth-order integration scheme along with shooting technique. The domain of cross-flow velocity can be highly suppressed when the magnitude of imposed magnetic strength and that of Hall parameter are large. A significant increase in the cross-flow velocity gradient near an upper horizontal surface of the paraboloid of revolution is guaranteed with an increase in the Hall parameter. Enhancement of temperature distribution across the flow is apparent due to an increase in the volume fraction.

Significance of Lorentz Force and Thermoelectric on the Flow of 29 nm CuO–Water Nanofluid on an Upper Horizontal Surface of a Paraboloid of Revolution

This computational analysis explores the properties of uneven energy gain or loss on the fluid transport properties of a chemically reacting nanofluid with two types of geometries. Simulations have been done to investigate the heat and mass transfer characteristics using Crank-Nicolson scheme. Influence of active parameters such as Hartman number, heat source and sinks, Brownian diffusion, thermophoretic diffusivity, activation energy and Schmidt number 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 activation energy parameter is having high influence on mass transfer mechanism.

Defect and Diffusion Forum

Chemically Reacting Unsteady Flow of Nanofluid over a Cone and Plate with Activation Energy

This computational study explores the properties of non-uniform heat source/sink on the fluid transport properties of a chemically reacting nanofluid with two types of geometries saturated with porous medium. Simulations have been done to investigate the heat and mass transfer characteristics using Crank-Nicolson scheme. Influence of active parameters such as Hartman number, heat source and sinks, Brownian diffusion, higher order chemical reaction, Prandtl number and thermophoretic diffusivity are 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 heat source/sink parameter has high influences on the fluid flow and heat transfer characteristics. A decrease in average skin friction factor due to the magnetic field is more significant in the flow on a plate than that of cone.

Influence of Non-Uniform Heat Source/Sink on Unsteady Chemically Reacting Nanofluid Flow over a Cone and Plate

Fulltext

SN Applied Sciences

Impacts of temperature-dependent viscosity and variable Prandtl number on forced convective Falkner–Skan flow of Williamson nanofluid

A study has been carried out to analyze the double dispersion effects on unsteady, free convective, chemically reacting, MHD viscoelastic fluid (Walters liquid-B model) flow over a vertical cone and a flat plate saturated with non-Darcy porous medium in the presence of Soret and Dufour effects. 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 heat and mass transfer characteristics are analyzed by plotting graphs and the physical aspects are discussed in detail to interpret the effect of significant parameters of the problem. The overall heat and mass transfer profiles are enhanced for increasing the thermal and solutal dispersion effects, respectively. The results indicate that the Soret and Dufour effects have considerable effect on the viscoelastic fluid flow through non-Darcy porous medium. © 2012 Elsevier Ltd.

International Communications in Heat and Mass Transfer

MHD viscoelastic fluid non-Darcy flow over a vertical cone and a flat plate

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.

International Journal of Heat and Mass Transfer

Viscoelastic fluid flow over a moving vertical cone and flat plate with variable electric conductivity

Heat and Mass Transfer

Thermal radiation and Hall effects on boundary layer flow past a non-isothermal stretching surface embedded in porous medium with non-uniform heat source/sink and fluid-particle suspension

Journal of the Nigerian Mathematical Society

Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method

Journal	Data powered by TypesetJournal of Heat Transfer
Publisher	Data powered by TypesetASME International
ISSN	0022-1481
Open Access	0