Unsteady Magnetohydrodynamic Free Convection Flow Past a Semi-Infinite Permeable Moving Plate Through Porous Medium With Chemical Reaction and Radiation Absorption

2012 ◽  
Vol 135 (2) ◽  
Author(s):  
Nabil T. M. El-dabe ◽  
Mohamed A. Hassan ◽  
Wessam A. Godh
Keyword(s):  
Porous Medium ◽  
Chemical Reaction ◽  
Perturbation Technique ◽  
Transverse Magnetic ◽  
Radiation Absorption ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Free Convective Flow ◽  
Moving Plate ◽  
System Equations

The effect of the chemical reaction and radiation absorption on the unsteady free convective flow of an incompressible viscous fluid through porous medium past a semi-infinite vertical permeable moving plate is studied. The system is stressed by a uniform transverse magnetic field. The system equations are derived for the flow over a vertical plate and the resulting nonlinear coupled differential equations are solved numerically by finite difference technique. Also, the case of the flow over a horizontal plate was studied analytically by using the perturbation technique. A comparison between the case of vertical and horizontal flow was illustrated graphically to access the accuracy of our numerical calculations, and the results show an excellent agreement. The effects of various parameters on the velocity, temperature and concentration profiles are presented graphically and the physical aspects of the problem are highlighted and discussed.

scholarly journals Soret and Dufour effects on an unsteady MHD free convection flow past a semi-infinite permeable vertical moving plate in a porous medium with chemical reaction

2011 ◽  
Vol 8 (1) ◽  
pp. 37-48 ◽  
Author(s):  
Sheri Shivaiah ◽  
J. A. Rao
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Chemical Reaction ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Moving Plate ◽  
Soret And Dufour Effects ◽  
Grashof Number ◽  
Flow Parameters ◽  
Wide Range

In the present study, an unsteady two-dimensional MHD free convection flow chemical reacting fluid past a semi-infinite permeable vertical moving plate in a porous medium with Soret and Dufour effects is analyzed. The dimensionless governing equations are solved numerically by a finite element method. Computations are performed for a wide range of the governing flow parameters, viz., the thermal Grashof number, solutal Grashof number, Magnetic field parameter, Permeability parameter, Prandtl number, Heat absorption parameter, Dufour number, Schmidt number, Chemical reaction parameter and Soret number. The effects of these flow parameters on the velocity, temperature and concentration are shown graphically. Finally, the effects of various parameters on the skin-friction coefficient, Nusselt number and Sherwood number are shown in Tables. DOI: http://dx.doi.org/10.3329/jname.v8i1.6054

scholarly journals Radiation Effects on Mass Transfer Flow through a Highly Porous Medium with Heat Generation and Chemical Reaction

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
S. Mohammed Ibrahim
Keyword(s):  
Porous Medium ◽  
Chemical Reaction ◽  
Heat Generation ◽  
Radiation Effects ◽  
Perturbation Technique ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
High Porosity ◽  
Moving Plate ◽  
Flow Through

The present paper is concerned to analyze the influence of the unsteady free convection flow of a viscous incompressible fluid through a porous medium with high porosity bounded by a vertical infinite moving plate in the presence of thermal radiation, heat generation, and chemical reaction. The fluid is considered to be gray, absorbing, and emitting but nonscattering medium, and Rosseland approximation is considered to describe the radiative heat flux in the energy equation. The dimensionless governing equations for this investigation are solved analytically using perturbation technique. The effects of various governing parameters on the velocity, temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood number are shown in figures and tables and analyzed in detail.

scholarly journals Chemical reaction and radiation effects on unsteady MHD free convection flow in a porous medium past an infinite inclined isothermal plate

2020 ◽  
Vol 1 (01) ◽  
pp. 01-10
Author(s):  
H.I. Osman ◽  
N.F.M. Omar ◽  
D. Vieru ◽  
Z. Ismail
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Chemical Reaction ◽  
Radiation Effects ◽  
Convection Flow ◽  
Inclined Plate ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
Analytical Expressions ◽  
Chemical Reaction Parameter

The effect of chemical reaction on unsteady magentohydrodynamic (MHD) free convection flow in a porous medium past an infinite inclined plate has been investigated. Laplace transform technique is the method to solve the solutions for velocity, temperature and concentration fields. The analytical expressions for non-dimensional skin friction, Nusselt number and Sherwood number has been presented. The influence of various embedded parameter on velocity, temperature and concentration such as chemical reaction parameter, magnetic field and radiation has been discussed in detail. The effects of involved parameters have been discussed and the numerical results are presented graphically.

Magnetohydrodynamics Free Convection Flow of a Radiating and Chemically Reacting Fluid Past an Impulsively Moving Plate With Ramped Wall Temperature

2012 ◽  
Vol 79 (6) ◽  
Author(s):  
Kalidas Das
Keyword(s):  
Mass Transfer ◽  
Free Convection ◽  
Chemical Reaction ◽  
Wall Temperature ◽  
Fluid Velocity ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Moving Plate ◽  
Laplace Transform Technique ◽  
Chemically Reacting

In the present study, the effects of radiation and chemical reaction on unsteady free convection flow and mass transfer of a viscous, electrically conducting incompressible fluid near an impulsively moving vertical flat plate with ramped wall temperature is studied. The primary purpose of this study is to characterize the effects of ramped wall temperature, radiation parameter, chemical reaction parameter, Schmidt number etc., on the flow properties. Exact solutions of the present problem are obtained in closed form by Laplace transform technique. The variations in fluid velocity, temperature and concentration are shown graphically whereas numerical values of skin friction, rate of heat and mass transfer are presented in tabular form to observe the effects of various parameters.

scholarly journals Hydromagnetic Non-Darcian Free-Convective Flow of a Non-Newtonian Fluid with Temperature Jump

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmed M. Salem ◽  
Mohamed Abd El-Aziz
Keyword(s):  
Temperature Jump ◽  
Variable Viscosity ◽  
Saturated Porous Medium ◽  
Transverse Magnetic ◽  
Magnetic Reynolds Number ◽  
Convection Flow ◽  
Fluid Viscosity ◽  
Free Convection Flow ◽  
Free Convective Flow ◽  
Boundary Layer Equations

In the present study, the effect of viscous dissipation on magnetohydrodynamic (MHD) non-Darcian free-convection flow of a non-Newtonian power-law fluid past a vertical flat plate in a saturated porous medium with variable viscosity and temperature jump is considered. The fluid is permeated by a transverse magnetic field imposed perpendicularly to the plate on the assumption of a small magnetic Reynolds number. The fluid viscosity is assumed to vary as a reciprocal of linear function of temperature. The governing boundary layer equations and boundary conditions are cast into a dimensionless form and simplified by using a similarity transformation into a system of nonlinear ordinary differential equations and solved numerically. The effects of the governing parameters on the flow fields and heat transfer are shown in graphs and tabular form.

scholarly journals MHD Free Convection Flow Across an Inclined Porous Plate in the Presence of Heat Source, ISoret Effect, and Chemical Reaction Affected by Viscous Dissipation Ohmic Heating

2021 ◽  
Vol 12 (5) ◽  
pp. 6280-6296
Keyword(s):  
Nusselt Number ◽  
Heat Source ◽  
Free Convection ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Sherwood Number ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Convection Flow ◽  
Free Convection Flow

This work studies the steady two-dimensional MHD free convection flow past an inclined porous plate embedded in the porous medium in the presence of heat source, iSoret effect, and chemical reaction. The non-dimensional governing equations are solved by the perturbation technique. The Rosseland approximation is utilized to describe the radiative heat flux in the energy equation. The effect of magnetic parameter, heat source parameter, radiation parameter, Grashofi number, modified Grashofi number, Schmidt number, Prandtl number, porosity parameter, Soreti number, and chemical reaction on velocity, temperature, concentration profiles, skin friction, Nusselt number, and Sherwood number are mainly focussed in discussion with the help of graphs. It is seen that velocity, concentration, and skin friction fall with the increasing value of chemical reaction. Further, temperature, Nusselt number, and Sherwood number increase with the increasing value of chemical reaction.

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