Effects of Variable Fluid Properties on MHD Non-Darcy Convective Flow from Vertical Plate with Heat Generation and Chemical Reaction

A numerical computation has been carried out to study, MHD flow of an electrically conducting viscous fluid from a semi-infinite vertical plate in a porous medium in the presence of heat source and homogeneous first order chemical reaction. The fluid and porous properties, thermal and solutal diffusivity, permeability and porosity are considered to be varied. The governing non-linear partial differential equations for the fluid flow are derived and transformed into a system of ordinary differential equations using a suitable similarity transformations. A numerical computation of shooting technique is employed along Runge Kutta method of fourth order with the help of Newton-Raphson algorithm to compute the solution and analyze the behavior of velocity, temperature, concentration, skin friction, heat and mass transfer rates graphically for various non-dimensional parameters which are controlling the flow of the physical system. The results of the numerical scheme are validated and a numerical comparison has been made with the available literature in the absence of some parameters and it is found to be in good agreement.

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Chemical Reaction and Thermal Radiation Effects on MHD Mixed Convection over a Vertical Plate with Variable Fluid Properties

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.387.332 ◽

2018 ◽

Vol 387 ◽

pp. 332-342

Author(s):

R. Suresh Babu ◽

B. Rushi Kumar ◽

Oluwole Daniel Makinde

Keyword(s):

Thermal Radiation ◽

Chemical Reaction ◽

Radiation Effects ◽

Vertical Plate ◽

Numerical Comparison ◽

Electrically Conducting ◽

Fluid Properties ◽

Integral Scheme ◽

Dimensional Parameters ◽

Homogeneous Chemical

This article investigates the magnetohydrodynamic mixed convective heat, and mass transfer flow of an incompressible, viscous, Boussinesq, electrically conducting fluid from a vertical plate in a sparsely packed porous medium in the presence of thermal radiation and an nth order homogeneous chemical reaction between the fluid and the diffusing species numerically. In this investigation, the fluid and porous properties like thermal and solutal diffusivity, permeability and porosity are all considered to be vary. The governing non-linear PDE's for the fluid flow are derived and transformed into a system of ODE's using an appropriate similarity transformation. The resultant equations are solved numerically using shooting technique and Runge-Kutta integral scheme with the help of Newton-Raphson algorithm in order to know the characteristics of the fluid for various non-dimensional parameters which are controlling the physical system graphically. The results of the numerical scheme are validated and a numerical comparison has been made with the available literature in the absence of some parameters and found that in good agreement. Nomenclature

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Radiation and heat source effects on MHD flow over a permeable stretching sheet through porous stratum with chemical reaction

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-12-2017-0159 ◽

2018 ◽

Vol 14 (5) ◽

pp. 1101-1114 ◽

Cited By ~ 2

Author(s):

K. Suneetha ◽

S.M. Ibrahim ◽

G.V. Ramana Reddy

Keyword(s):

Porous Medium ◽

Differential Equations ◽

Heat Source ◽

Chemical Reaction ◽

Stretching Sheet ◽

Mhd Flow ◽

Working Fluid ◽

Content Type ◽

Source Effects ◽

Similarity Transformations

Purpose The purpose of this paper is to investigate the steady 2D buoyancy effects on MHD flow over a permeable stretching sheet through porous medium in the presence of suction/injection. Design/methodology/approach Similarity transformations are employed to transform the governing partial differential equations into ordinary differential equations. The transformed equations are then solved numerically by a shooting technique. Findings The working fluid is examined for several sundry parameters graphically and in tabular form. It is observed that with an increase in magnetic field and permeability of porous parameter, velocity profile decreases while temperature and concentration enhances. Stretching sheet parameter reduces velocity, temperature and concentration, whereas it increases skin friction factor, Nusselt number and Sherwood number. Originality/value Till now no numerical studies are reported on the effects of heat source and thermal radiation on MHD flow over a permeable stretching sheet embedded in porous medium in the presence of chemical reaction.

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Effects of Chemical Reaction on Dissipative Radiative MHD Flow through a Porous Medium over a Nonisothermal Stretching Sheet

Journal of Industrial Mathematics ◽

10.1155/2014/243148 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10 ◽

Cited By ~ 6

Author(s):

S. Mohammed Ibrahim

Keyword(s):

Porous Medium ◽

Differential Equations ◽

Chemical Reaction ◽

Stretching Sheet ◽

Saturated Porous Medium ◽

Mhd Flow ◽

Electrically Conducting ◽

Similarity Transformations ◽

Temperature Parameter ◽

Layer Flow

The steady two-dimensional radiative MHD boundary layer flow of an incompressible, viscous, electrically conducting fluid caused by a nonisothermal linearly stretching sheet placed at the bottom of fluid saturated porous medium in the presence of viscous dissipation and chemical reaction is studied. The governing system of partial differential equations is converted to ordinary differential equations by using the similarity transformations, which are then solved by shooting method. The dimensionless velocity, temperature, and concentration are computed for different thermophysical parameters, namely, the magnetic parameter, permeability parameter, radiation parameter, wall temperature parameter, Prandtl number, Eckert number, Schmidt number, and chemical reaction.

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MHD flow past a parabolic flow past an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction

International Journal of Applied Mechanics and Engineering ◽

10.1515/ijame-2016-0006 ◽

2016 ◽

Vol 21 (1) ◽

pp. 95-105 ◽

Cited By ~ 3

Author(s):

R. Muthucumaraswamy ◽

P. Sivakumar

Keyword(s):

Thermal Radiation ◽

Chemical Reaction ◽

Vertical Plate ◽

Mhd Flow ◽

Convection Flow ◽

Grashof Number ◽

Linear Partial Differential Equations ◽

Flow Past ◽

Laplace Transform Technique ◽

The Laplace Transform

Abstract The problem of MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction has been examined in detail in this paper. The fluid considered here is a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time on the velocity, temperature, concentration. The results are discussed graphically and qualitatively. The numerical results reveal that the radiation induces a rise in both the velocity and temperature, and a decrease in the concentration. The model finds applications in solar energy collection systems, geophysics and astrophysics, aerospace and also in the design of high temperature chemical process systems.

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Chemical Reaction Effect on Forced Convection Flow of a Jeffery Fluid over a Stretching Sheet: A Numerical Study

Diffusion Foundations ◽

10.4028/www.scientific.net/df.16.109 ◽

2018 ◽

Vol 16 ◽

pp. 109-119

Author(s):

A.K. Mishra ◽

N. Senapati ◽

S.R. Mishra ◽

S. Bhattacharjee

Keyword(s):

Differential Equations ◽

Chemical Reaction ◽

Stretching Sheet ◽

Numerical Study ◽

Mhd Flow ◽

Deborah Number ◽

Convection Flow ◽

Jeffrey Fluid ◽

Physical Parameters ◽

Similarity Transformations

The purpose of this paper is to investigate steady two-dimensional laminar magnetohydrodynamic (MHD) flow of an incompressible Jeffrey fluid past over a linearly stretching sheet. The governing partial differential equations (PDEs) of continuity, momentum, energy and concentration are transformed into nonlinear coupled ordinary differential equations (ODEs) by using similarity transformations. Then the ODEs are solved by applying Runge-Kutta fourth order method accompanied with shooting technique. The effects of various physical parameters characterizing the flow phenomenon including Deborah number, ratio of relaxation to retardation times, magnetic parameter, porous parameter, Prandtl number, Eckert number, heat source / sink parameter, Schmidt number and chemical reaction parameter on dimensionless velocity, temperature and concentration profiles are analyzed. The numerical results are obtained and presented in graphs. The present results are compared with the earlier published results as a particular case.

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Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/2019/7392459 ◽

2019 ◽

Vol 2019 ◽

pp. 1-14 ◽

Cited By ~ 7

Author(s):

Musa Antidius Mjankwi ◽

Verdiana Grace Masanja ◽

Eunice W. Mureithi ◽

Makungu Ng’oga James

Keyword(s):

Thermal Conductivity ◽

Mass Transfer ◽

Differential Equations ◽

Thermal Radiation ◽

Skin Friction ◽

Chemical Reaction ◽

Stretching Sheet ◽

Mhd Flow ◽

Transfer Rates ◽

Fluid Properties

The unsteady magnetohydrodynamics (MHD) flow of nanofluid with variable fluid properties over an inclined stretching sheet in the presence of thermal radiation and chemical reaction is studied taking into account the effect of variable fluid properties in thermal conductivity and diffusion coefficient. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation. The numerical solutions of the problem are obtained by using the fourth order Runge-Kutta method in line with the shooting technique. It is found that the increase in both thermal conductivity and radiative heat flux decreases the heat transfer rate but increases the skin friction and mass transfer rates. It is further observed that the increase in porosity parameter and magnetic field reduces the skin friction, heat, and mass transfer rates.

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Effects of Chemical Reaction on MHD Flow Past an Impulsively Started Infinite Vertical Plate with Uniform Heat and Mass Flux

International Journal of Applied Mechanics and Engineering ◽

10.2478/ijame-2013-0019 ◽

2013 ◽

Vol 18 (2) ◽

pp. 329-339 ◽

Cited By ~ 1

Author(s):

P. Chandrakala

Keyword(s):

Chemical Reaction ◽

Mass Flux ◽

Vertical Plate ◽

Mhd Flow ◽

Grashof Number ◽

First Order ◽

Flow Past ◽

Uniform Heat ◽

First Order Chemical Reaction ◽

Infinite Vertical Plate

Finite difference solutions of the unsteady MHD flow past an impulsively started infinite vertical plate with uniform heat and mass flux are presented here, taking into account the homogeneous chemical reaction of first order. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit scheme. The effects of velocity, temperature and concentration for different parameters such as chemical reaction parameter, Schmidt number, Prandtl number, thermal Grashof number, mass Grashof number and time are studied. It is observed that due to the presence of a first order chemical reaction, the velocity increases during the generative reaction and decreases in the destructive reaction. It is observed that the velocity decreases in the presence of the magnetic field, as compared to its absence.

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Soret and Dufour Effects on MHD Mixed Convection Flow over a Vertical Plate with Variable Fluid Properties

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.389.1 ◽

2018 ◽

Vol 389 ◽

pp. 1-17

Author(s):

R. Suresh Babu ◽

B. Rushi Kumar ◽

P.A. Dinesh

Keyword(s):

Mass Transfer ◽

Fluid Flow ◽

Numerical Computation ◽

Heat And Mass Transfer ◽

Vertical Plate ◽

Convection Flow ◽

Physical Parameters ◽

Numerical Comparison ◽

Variable Fluid Properties ◽

Fluid Properties

A numerical computation has been carried out, to investigate the effects of Soret and Dufour numbers on mixed convective heat and mass transfer flow for a steady, two dimensional, incompressible, electrically conducting viscous fluid flow over a semi-infinite vertical plate in a saturated porous medium under the influence of magnetic field (Lorentz force) with variable fluid properties. The physical governing equations for the fluid flow represents in the nonlinear PDE's regime, which are reduced into a system of ODE's using similarity transformation. The numerical computation of shooting technique is adopted to analyze the nature of "velocity, temperature, concentration fields, skin friction, heat and mass transfer coefficients" graphically for uniform permeability (UP) as well as variable permeability (VP) and illustrated for various non-dimensional parameters of the physical model. The results of the numerical scheme are validated and a numerical comparison has been done for a particular case with the available literature in the absence of few physical parameters and found that in good agreement.

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Dissipative effects on a chemically and thermally radiative heat fluid flow past a shrinking porous sheet

International Journal of Applied Electromagnetics and Mechanics ◽

10.3233/jae-201540 ◽

2020 ◽

pp. 1-14

Author(s):

A. Shahid ◽

M. Ali Abbas ◽

H.L. Huang ◽

S.R. Mishra ◽

M.M. Bhatti

Keyword(s):

Fluid Flow ◽

Differential Equations ◽

Thermal Radiation ◽

Chemical Reaction ◽

Linearization Method ◽

Surface Drag ◽

Suction Parameter ◽

Similarity Transformations ◽

Dissipative Effects ◽

Successive Linearization Method

The present study analyses the dissipative influence into an unsteady electrically conducting fluid flow embedded in a pervious medium over a shrinkable sheet. The behavior of thermal radiation and chemical reactions are also contemplated. The governing partial differential equations are reformed to ordinary differential equations by operating similarity transformations. The numerical outcomes for the arising non-linear boundary value problem are determined by implementing the Successive linearization method (SLM) via Matlab software. The velocity, temperature, and concentration magnitudes for distant values of the governing parametric quantities are conferred, and their conduct is debated via graphical curves. The surface drag coefficient increases, whereas the local Nusselt number and Sherwood number decreases for enhancing unsteadiness parameter across suction parameter. Moreover, the magnetic and suction parameters accelerate velocity magnitudes while by raising porosity parameter, velocity decelerates. Larger numeric of thermal radiation parameter and Eckert number accelerates the temperature profile while by enhancing Prandtl number it decelerates. Schmidt number and chemical reaction parameters slowdowns the concentration distribution, and the chemical reaction parameter influences on the point of chemical reaction that benefits the interface mass transfer. It is expected that the current achieved results will furnish fruitful knowledge in industrious utilities.

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