scholarly journals Hall-current effects on unsteady MHD flow between stretching sheet and an oscillating porous upper parallel plate with constant suction

2011 ◽  
Vol 15 (2) ◽  
pp. 527-536 ◽  
Author(s):  
Raju Changal ◽  
Reddy Ananda ◽  
Kumar Vijaya
Keyword(s):  
Stretching Sheet ◽  
Hall Current ◽  
Porous Plate ◽  
Fluid Motion ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Constant Suction

The unsteady MHD flow of an incompressible viscous electrically conducting fluid between two horizontal parallel non conducting plates, where the lower one is stretching sheet and the upper one is oscillating porous plate, is studied in the presence of a transverse magnetic field and the effects of Hall current. Fluid motion is caused by the stretching of the lower sheet and a constant suction is applied at the upper plate which is oscillating in its own plane. The stretching velocity of the sheet is assumed to be a linear function of distance along the channel. The expressions relating to the velocity distribution are obtained and effects of different values of various physical parameters are calculated numerically and shown graphically.

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 Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet

2009 ◽  
Vol 13 (1) ◽  
pp. 5-12 ◽  
Author(s):  
Pushkar Sharma ◽  
Gurminder Singh
Keyword(s):  
Stagnation Point ◽  
Viscous Dissipation ◽  
Ohmic Heating ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Governing Equations ◽  
Shooting Technique ◽  
Electrically Conducting

Aim of the paper is to investigate effects of ohmic heating and viscous dissipation on steady flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a stretching non-conducting isothermal sheet. The governing equations of continuity, momentum, and energy are transformed into ordinary differential equations and solved numerically using Runge-Kutta fourth order with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically, and their numerical values for various values of physical parameters are compared with earlier results and presented through tables.

Axisymmetric Stagnation Point MHD Flow Over a Porous Plate With Heat Transfer

2003 ◽  
Author(s):  
Hazem Ali Attia
Keyword(s):  
Heat Transfer ◽  
Uniform Magnetic Field ◽  
Porous Plate ◽  
Mhd Flow ◽  
Hydromagnetic Flow ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Porous Flat Plate ◽  
Suction Or Injection ◽  
External Uniform Magnetic Field

The steady axisymmetric hydromagnetic flow of an incompressible viscous electrically conducting fluid impinging on a porous flat plate with heat transfer are investigated. An external uniform magnetic field and a uniform suction or injection are applied normal to the plate which is maintained at a constant temperature. Numerical solution for the governing nonlinear equations is obtained.

scholarly journals MHD Flow Of Walters’ Liquid B Over A Nonlinearly Stretching Sheet

2015 ◽  
Vol 20 (3) ◽  
pp. 589-603 ◽  
Author(s):  
P.G. Siddheshwar ◽  
U.S. Mahabaleshwar ◽  
A. Chan
Keyword(s):  
Magnetic Field ◽  
Stretching Sheet ◽  
Quadratic Function ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Viscoelastic Parameter ◽  
Electrically Conducting ◽  
Nonlinearly Stretching Sheet ◽  
Layer Flow ◽  
Chandrasekhar Number

Abstract The paper discusses the boundary layer flow of a weak electrically conducting viscoelastic Walters’ liquid B over a nonlinearly stretching sheet subjected to an applied transverse magnetic field, when the liquid far away from the surface is at rest. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. An analytical expression is obtained for the stream function and velocity components as a function of the viscoelastic parameter, the Chandrasekhar number and stretching related parameters. The results have possible technological applications in liquid based systems involving stretchable materials.

Thermal Transport of an Electrically Conducting Fluid over a Stretching Sheet in Manufacturing Processes

2010 ◽  
Vol 148-149 ◽  
pp. 406-409
Author(s):  
Chien Hsin Chen ◽  
Che Na Chen ◽  
Yu Rung Chen
Keyword(s):  
Thermal Transport ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Conducting Fluid ◽  
Material Surface ◽  
Manufacturing Processes ◽  
Governing Equations ◽  
Coupled Flow ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid

The properties of the final product greatly depend on the cooling rate from the material surface in many manufacturing processes, such as stretching sheets or filaments that are extruded continuously from a die. Therefore, the thermal transport behavior may play an important role in such manufacturing processes. In this paper we present an analysis of momentum and thermal transport for the magnetohydrodynamic (MHD) flow of an electrically conducting fluid over a stretching sheet with prescribed surface temperature. The effects of free convection, Joule heating and viscous dissipation are taken into consideration. The transformed governing equations are solved numerically for this non-similar coupled flow problem. To reveal the tendency of the solutions, typical results for velocity profiles, temperature distributions and the local Nusselt number are presented for different values of governing parameters.

SIMILARITY SOLUTIONS OF THE RAYLEIGH PROBLEM FOR OSTWALD–DE WAEL ELECTRICALLY CONDUCTING FLUIDS

2011 ◽  
Vol 09 (02) ◽  
pp. 135-159 ◽  
Author(s):  
N. BEDJAOUI ◽  
M. GUEDDA ◽  
Z. HAMMOUCH
Keyword(s):  
Power Law ◽  
Stationary Flow ◽  
Transverse Magnetic ◽  
Similarity Solutions ◽  
Physical Parameters ◽  
Power Law Fluid ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Rayleigh Problem ◽  
And Behavior

We investigate in the present paper the magnetic Rayleigh problem, where a semi-infinite flat plate is moving with a power-law velocity, in a non-Newtonian power-law fluid (Ostwald–de Wael model). The non-stationary flow of this electrically conducting fluid in a transverse magnetic field is then analyzed. The solutions of this problem are obtained by means of similarity techniques. The main goal, is to investigate existence, uniqueness and behavior of such solutions, according to the values of the physical parameters.

scholarly journals Viscous dissipation and chemical reaction effects on MHD Casson nanofluid over a stretching sheet

2019 ◽  
Vol 15 (4) ◽  
pp. 585-592
Author(s):  
Kamatam Govardhan ◽  
Ganji Narender ◽  
Gobburu Sreedhar Sarma
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Shooting Method ◽  
Stretching Sheet ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Electrically Conducting Fluid ◽  
Layer Flow ◽  
The Mathematical Model

A numerical analysis was performed for the mathematical model of boundary layer flow of Casson nanofluids. Heat and mass transfer were analyzed for an incompressible electrically conducting fluid with viscous dissipations and chemical reaction past a stretching sheet. An appropriate set of similarity transformations were used to transform the governing partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is solved numerically by using shooting method. A detailed discussion on the effects of various physical parameters and heat transfer characteristics was also included.

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