scholarly journals MAGNETOHYDRODYNAMIC HEAT AND MASS TRANSFER FLOW WITH INDUCED MAGNETIC FIELD AND VISCOUS DISSIPATIVE EFFECTS

2014 ◽  
Vol 44 (1) ◽  
pp. 9-17
Author(s):  
S. AHMED ◽  
A. BATIN
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Current Density ◽  
Schmidt Number ◽  
Porous Plate ◽  
Mhd Flow ◽  
Induced Magnetic Field ◽  
Dissipative Effects ◽  
Magnetic Prandtl Number ◽  
Mhd Propulsion

An approximate solution to the problem of steady free convective MHD flow of an incompressible viscous electrically-conducting fluid over an infinite vertical isothermal porous plate with mass convection is presented here. A uniform magnetic field is assumed to be applied transversely to the direction of the flow, taking into account the induced magnetic field with viscous and magnetic dissipations of energy. The dimensionless governing equations are solved by using the series solution method. The induced magnetic field, current density, temperature gradient and flow velocity are studied for magnetohydrodynamic body force, magnetic Prandtl number, Schmidt number and Eckert number. It is observed that the induced magnetic field is found to increase with a rise in magnetic Prandtl number. Current density is strongly reduced with increasing magnetic Prandtl number, but enhanced with Schmidt number. The acquired knowledge in our study can be used by designers to control MHD flow as suitable for a certain applications such as laminar magneto-aerodynamics, and MHD propulsion thermo-fluid dynamics.

scholarly journals Induced magnetic field with radiating fluid over a porous vertical plate: analytical study

2011 ◽  
Vol 7 (2) ◽  
pp. 61-72 ◽  
Author(s):  
Sahin Ahmed
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Porous Plate ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Induced Magnetic Field ◽  
Electrically Conducting ◽  
Magnetic Prandtl Number ◽  
Body Parameter ◽  
Mhd Propulsion

The objective of this investigation is to study the influence of thermal radiation and magnetic Prandtl number on the steady MHD heat and mass transfer by mixed convection flow of a viscous, incompressible, electrically-conducting, Newtonian fluid which is an optically thin gray gas over a vertical porous plate taking into account the induced magnetic field. The similarity solutions of the transformed dimensionless governing equations are obtained by series solution. It is found that, velocity is reduced considerably with a rise in conduction-radiation parameter (R) or Hartmann number (M) whereas the skin friction is found to be markedly boosted with an increase in M or Magnetic Prandtl number (Pm). An increase in magnetic body parameter (M) or Magnetic Prandtl number (Pm) is found to escalate induced magnetic field whereas an increase in R is shown to exert the opposite effect. Applications of the study include laminar magneto-aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.DOI: 10.3329/jname.v7i2.5662

scholarly journals Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

2017 ◽  
Vol 22 (3) ◽  
pp. 567-582 ◽  
Author(s):  
B.K. Jha ◽  
B. Aina
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Current Density ◽  
Hartmann Number ◽  
Convection Flow ◽  
Induced Current ◽  
Mixed Convection Flow ◽  
Induced Magnetic Field ◽  
Magnetic Prandtl Number ◽  
Vertical Microchannel

AbstractThe present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.

Hydromagnetic Flow Over a Conducting Thick Porous Plate With Hall Effects

1979 ◽  
Vol 46 (1) ◽  
pp. 220-223
Author(s):  
S. Chhatait ◽  
K. K. Mandal
Keyword(s):  
Magnetic Field ◽  
Hall Current ◽  
Porous Plate ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Secondary Flows ◽  
Magnetic Field Effects ◽  
Induced Magnetic Field ◽  
Electrically Conducting ◽  
Wall Conductivity

MHD flow of an incompressible viscous electrically conducting fluid due to a uniform stream passing over a thick, porous conducting flat plate subjected to a uniform suction at the plate under the influence of uniform transverse magnetic field has been studied taking into account the effect of Hall current. Induced magnetic field has been taken into consideration and exact solutions have been obtained for primary and secondary flows and induced magnetic field. Effects of different parameters have been illustrated using graphs. It has also been pointed out that when the magnetic Prandtl number is very small effects of Hall current, wall conductivity, and thickness of the plate are all negligible.

scholarly journals Thermal radiation and magnetohydrodynamics flow over a black isothermal plate

2021 ◽  
pp. 246-246
Author(s):  
Andreas Raptis
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Thermal Radiation ◽  
Numerical Solutions ◽  
Radiation Parameter ◽  
Induced Magnetic Field ◽  
Grashof Number ◽  
Emit Radiation ◽  
Flowing Medium ◽  
Magnetic Prandtl Number

We study the effects of the thermal radiation and an induced magnetic field on the flow over a black isothermal plate for an optically thin gray fluid. The flowing medium absorbs and emit radiation, but scattering is not included. Numerical solutions are obtained for different values of radiation parameter, Prandtl number, Grashof number and magnetic Prandtl number.

Mathematical Study of Imposed Magnetic Field on Radiative Hydromagnetic Casson Fluid Flow in a Micro-Channel with Asymmetric Heating

2021 ◽  
Vol 10 (4) ◽  
pp. 478-490
Author(s):  
M. Venkateswarlu ◽  
P. Bhaskar
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Thermal Radiation ◽  
Current Density ◽  
Liquid Velocity ◽  
Magnetic Domain ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Micro Channel ◽  
Suction Parameter

The work of steady hydromagnetic stream of Casson liquid in a micro-channel constructed by two indefinite vertical proportionate walls in the appearance of thermal radiation is presented in this article. The effect of an imposed magnetic domain appearing scheduled to movement of an electrically administrating liquid is adopted into account. The exact solutions of the liquid velocity, imposed magnetic domain, and temperature domain have been obtained. Also, the analytical expressions for the skin-friction coefficient and imposed current density are obtained. The basic aspiration of this article is to reinvestigate the supremacy of pertinent physical constraints like magnetic Prandtl number, injection/suction parameter, Hartmann number, thermal radiation parameter, rarefaction parameter, wall ambient temperature difference ratio, and liquid wall interaction parameter over the imposed magnetic field and velocity of the liquid. Lorentz force which is obtained from magnetic field has a propensity to decline the motion of liquid and imposed magnetic field. The imposed current density rises with an enhancement in the hydromagnetic Prandtl number. This study is applied in the machines like transformers, generators, and motors work on the principle of electromagnetic induction. Results are compared with the literature in the limiting case.

scholarly journals Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Winifred Nduku Mutuku-Njane ◽  
Oluwole Daniel Makinde
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Volume Fraction ◽  
Solid Volume Fraction ◽  
Porous Plate ◽  
Mhd Flow ◽  
Slip Boundary Condition ◽  
Navier Slip ◽  
Vertical Porous Plate ◽  
Water Based

We examine the effect of magnetic field on boundary layer flow of an incompressible electrically conducting water-based nanofluids past a convectively heated vertical porous plate with Navier slip boundary condition. A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically by employing fourth-order Runge-Kutta with a shooting technique. Three different water-based nanofluids containing copper (Cu), aluminium oxide (Al2O3), and titanium dioxide (TiO2) are taken into consideration. Graphical results are presented and discussed quantitatively with respect to the influence of pertinent parameters, such as solid volume fraction of nanoparticles (φ), magnetic field parameter (Ha), buoyancy effect (Gr), Eckert number (Ec), suction/injection parameter (fw), Biot number (Bi), and slip parameter (β), on the dimensionless velocity, temperature, skin friction coefficient, and heat transfer rate.

Heat and Mass Transfer of a MHD Flows of An Oldroyd 8-Constant Nano-Fluid Through a Non-Darcy Porous Medium

2017 ◽  
Vol 14 (1) ◽  
pp. 321-329
Author(s):  
Abeer A Shaaban
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Prandtl Number ◽  
Heat And Mass Transfer ◽  
Induced Magnetic Field ◽  
Linear Ordinary Differential Equations ◽  
Nano Fluid ◽  
Non Linear

Explicit finite-difference method was used to obtain the solution of the system of the non-linear ordinary differential equations which transform from the non-linear partial differential equations. These equations describe the steady magneto-hydrodynamic flow of an oldroyd 8-constant non-Newtonian nano-fluid through a non-Darcy porous medium with heat and mass transfer. The induced magnetic field was taken into our consideration. The numerical formula of the velocity, the induced magnetic field, the temperature, the concentration, and the nanoparticle concentration distributions of the problem were illustrated graphically. The effect of the material parameters (α1 α2), Darcy number Da, Forchheimer number Fs, Magnetic Pressure number RH, Magnetic Prandtl number Pm, Prandtl number Pr, Radiation parameter Rn, Dufour number Nd, Brownian motion parameter Nb, Thermophoresis parameter Nt, Heat generation Q, Lewis number Le, and Sort number Ld on those formula were discussed specially in the case of pure Coutte flow (U0 = 1, d <inline-formula> <mml:math display="block"> <mml:mrow> <mml:mover accent="true"> <mml:mi>P</mml:mi> <mml:mo stretchy="true">^</mml:mo> </mml:mover> </mml:mrow> </mml:math> </inline-formula> /dx = 0). Also, an estimation of the global error for the numerical values of the solutions is calculated by using Zadunaisky technique.

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