The Inclined Factors of Magnetic Field and Shrinking Sheet in Casson Fluid Flow, Heat and Mass Transfer

The development of the mathematical modeling of Casson fluid flow and heat and mass transfer is presented in this paper. The model is subjected to the following physical parameters: shrinking parameter, mixed convection, concentration buoyancy ratio parameter, Soret number, and Dufour number. This model is also subjected to the inclined magnetic field and shrinking sheet at a certain angle projected from the y- and x-axes, respectively. The MATLAB bvp4c program is the main mathematical program that was used to obtain the final numerical solutions for the reduced ordinary differential equations (ODEs). These ODEs originate from the governing partial differential equations (PDEs), where the transformation can be achieved by applying similarity transformations. The MATLAB bvp4c program was also implemented to develop stability analysis, where this calculation was executed to recognize the most stable numerical solution. Numerical graphics were made for the skin friction coefficient, local Nusselt number, local Sherwood number, velocity profile, temperature profile, and concentration profile for certain values of the physical parameters. It is found that all the governed parameters affected the variations of the Casson fluid flow, heat transfer, mass transfer, and the profiles of velocity, temperature, and concentration. In addition, a stable solution can be applied to predict the impact of physical parameters on the actual fluid model by using a mathematical fluid model.

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Heat and Mass Transfer on MHD Flow of a Viscoelastic Fluid through Porous Media over a Shrinking Sheet

International Scholarly Research Notices ◽

10.1155/2014/572162 ◽

2014 ◽

Vol 2014 ◽

pp. 1-11 ◽

Cited By ~ 8

Author(s):

D. Bhukta ◽

G. C. Dash ◽

S. R. Mishra

Keyword(s):

Magnetic Field ◽

Mass Transfer ◽

Temperature Field ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Viscoelastic Fluid ◽

Power Law ◽

Nonlinear Partial Differential Equations ◽

Shrinking Sheet ◽

Mass Transfer Effect

An attempt has been made to study the heat and mass transfer effect in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid over a shrinking sheet subject to transverse magnetic field in the presence of heat source. Effects of radiation, viscous dissipation, and uniform heat sink on the heat transfer have been considered. The method of solution involves similarity transformation. The coupled nonlinear partial differential equations representing momentum, concentration, and nonhomogenous heat equation are reduced into a set of nonlinear ordinary differential equations. The transformed equations are solved by applying Kummer’s function. The exact solution of temperature field is obtained for power-law surface temperature (PST) as well as power-law heat flux (PHF) boundary condition. The interaction of magnetic field is proved to be counterproductive in enhancing velocity and concentration distribution, whereas presence of porous matrix reduces the temperature field at all points.

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The Magnetohydrodynamics Casson Fluid Flow, Heat and Mass Transfer Due to the Presence of Assisting Flow and Buoyancy Ratio Parameters

CFD letters ◽

10.37934/cfdl.12.8.6475 ◽

2020 ◽

Vol 12 (8) ◽

pp. 64-75

Author(s):

Shahanaz Parvin ◽

Siti Suzilliana Putri Mohamed Isa ◽

Norihan Md. Arifin ◽

Fadzilah Md Ali

Keyword(s):

Mass Transfer ◽

Fluid Flow ◽

Heat And Mass Transfer ◽

Casson Fluid ◽

Flow Heat ◽

Buoyancy Ratio

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Dual solutions for heat and mass transfer in chemically reacting radiative non-Newtonian fluid with aligned magnetic field

Journal of Naval Architecture and Marine Engineering ◽

10.3329/jname.v14i1.25907 ◽

2017 ◽

Vol 14 (1) ◽

pp. 25-38 ◽

Cited By ~ 3

Author(s):

J. V. Ramana Reddy ◽

V. Sugunamma ◽

N. Sandeep

Keyword(s):

Magnetic Field ◽

Mass Transfer ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Stretching Sheet ◽

Graphical Representation ◽

Physical Parameters ◽

Transfer Coefficients ◽

Chemically Reacting ◽

Aligned Magnetic Field

Through this paper we investigated the heat and mass transfer in chemically reacting radiative Casson fluid flow over a slandering/flat stretching sheet in a slip flow regime with aligned magnetic field. This study is carried out under the influence of non uniform heat source/sink. First we converted the governing equations of the flow into ordinary differential equations by making use of suitable similarity transformations. The obtained non-linear differential equations are solved numerically using Runge-Kutta based shooting technique. Further, graphical representation has been given to study the effects of various physical parameters on velocity, temperature and concentration fields. Also numerical computations has been carried out to investigate the influence of the physical parameters involved in the flow on skin friction, rate of heat and mass transfer coefficients. Through this investigation, it is observed that aligned angle, Casson parameter and velocity slip parameter have the tendency to control the velocity field. Also heat transfer rate in flat stretching sheet is higher than that of slendering stretching sheet. A good agreement of the present results with the existed literature has been observed.

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Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet

Journal of Applied Mathematics ◽

10.1155/2013/584534 ◽

2013 ◽

Vol 2013 ◽

pp. 1-11 ◽

Cited By ~ 2

Author(s):

Nabil Eldabe ◽

Mahmoud Abu Zeid

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Shear Stress ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Shrinking Sheet ◽

Physical Parameters ◽

Transfer Parameter ◽

Mass Transfer Parameter ◽

Permeability Parameter

The motion of the viscous, incompressible fluid through a porous medium with heat and mass transfer over a shrinking sheet is investigated. The cross-diffusion effect between temperature and concentration is considered. This phenomenon is modulated mathematically by a set of partial differential equations which govern the continuity, momentum, heat, and mass. These equations are transformed to a set of ordinary differential equations by using similarity solutions. The analytical solutions of these equations are obtained. The velocity, temperature, and concentration of the fluid as well as the heat and mass transfer with shear stress at the sheet are obtained as a function of the physical parameters of the problem. The effects of Prandtl number, mass transfer parameter, the wall shrinking parameter, the permeability parameter, and Dufour and Soret numbers on temperature and concentration are studied. Also, the effects of mass transfer parameter, permeability parameter, and shrinking strength on the velocity and shear stress are discussed. These effects are illustrated graphically through a set of figures.

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Non-Similar Comutational Solutions for Double-Diffusive MHD Transport Phenomena for Non-Newtnian Nanofluid From a Horizontal Circular Cylinder

Nonlinear Engineering ◽

10.1515/nleng-2018-0035 ◽

2019 ◽

Vol 8 (1) ◽

pp. 470-485 ◽

Cited By ~ 2

Author(s):

V. Ramachandra Prasad ◽

S. Abdul gaffar ◽

B. Rushi Kumar

Keyword(s):

Mass Transfer ◽

Circular Cylinder ◽

Differential Equations ◽

Skin Friction ◽

Heat And Mass Transfer ◽

Transfer Rate ◽

Mass Transfer Rate ◽

Casson Fluid ◽

Skin Friction Coefficient ◽

Physical Parameters

Abstract This article aims to study theoretically the combined magneto hydrodynamic flows of casson viscoplastic nanofluid from a horizontal isothermal circular cylinder in non-Darcy porous medium. The impacts of Brownian motion and thermophoresis are consolidated and studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using suitable non-similarity transformation and are solved numerically using Keller-Box finite difference technique. The numerical method is validated with previous published work and the results are found to be in excellent agreement. Numerical results for velocity, temperature, concentration along with skin friction coefficient, heat and mass transfer rate are discussed for various values of physical parameters. It is observed that velocity, heat and mass transfer rate are increased with increasing casson fluid parameter whereas temperature, concentration and skin friction are decreased. Velocity is reduced with increasing Forchheimer parameter whereas temperature and nano-particle concentration are both enhanced. An increase in magnetic parameter is seen to increase temperature and concentration whereas velocity, skin friction heat and mass transfer rate are decreased. The present model finds applications in electric-conductive nano-materials of potential use in aviation and different enterprises, energy systems and thermal enhancement of industrial flow processes.

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Heat and mass transfer of steady magnetohydrodynamics mixed convection of dusty fluid flow with chemical reaction past an exponentially stretching sheet

Malaysian Journal of Fundamental and Applied Sciences ◽

10.11113/mjfas.v13n2.606 ◽

2017 ◽

Vol 13 (2) ◽

Author(s):

Siti Nur Haseela Izani ◽

Anati Ali

Keyword(s):

Magnetic Field ◽

Mass Transfer ◽

Fluid Flow ◽

Differential Equations ◽

Chemical Reaction ◽

Stretching Sheet ◽

Physical Parameters ◽

Dusty Fluid ◽

Exponentially Stretching Sheet ◽

Exponentially Stretching

An analysis has been carried out to study a problem of the chemical reaction effects on magnetohydrodynamics (MHD) mixed convective boundary layer flow with a fluid-particle suspension due to an exponentially stretching sheet. The effects of magnetic field and mass transfer are taken into account for the first time in the dusty fluid over the exponentially stretching sheet. The governing partial nonlinear differential equations corresponding to the momentum, energy and concentration are converted into a system of ordinary differential equations by using similarity transformations. The relevant dimensionless equations are then solved numerically using Runge-Kutta-Fehlberg fourth fifth order method (RKF45) with the help of Maple symbolic software. The influence of physical parameters on the velocity, temperature and concentration distributions for both phases were discussed numerically and presented in details through plotted graphs and tables. Also, the numerical values of skin friction coefficient, Nusselt and Sherwood number of the governing parameters are analyzed and discussed in details. The outcomes show that the reaction parameter affects the fluid flow whereas the magnetic field retards the fluid flow. A comparative study of the present results with the previous study provides an excellent agreement.

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