Entrance Development of the Weakly Interacted MHD Plane Channel Flow as Affected by Wall Conductances

1971 ◽  
Vol 38 (3) ◽  
pp. 665-673 ◽  
Author(s):  
Edward S. Hsia
Keyword(s):  
Plane Channel ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Magnetic Reynolds Number ◽  
Local Pressure ◽  
Electrically Conducting ◽  
Wall Conductivity ◽  
Conductance Parameter ◽  
Momentum Integral ◽  
Plane Channel Flow

Growth behavior of the weakly interacted laminar MHD flow in the entrance region of a plane channel with electrically conducting walls is investigated by the momentum integral method. In the developing region, the analysis shows that, with moderate magnetic Reynolds number, the nonuniformity of the magnetic field is found to be significant, and the effect of wall conductivity is found to shorten the growth history of the flow field. Numerical results, including local pressure gradient and skin-friction coefficient, are obtained over a range of Hartmann numbers of 0–10, and wall conductance parameter γ, defined as σwh/σa, of 0–20.

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.

scholarly journals Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates

2006 ◽  
Vol 33 (4) ◽  
pp. 259-280 ◽  
Author(s):  
Gopal Singha ◽  
P.N. Deka
Keyword(s):  
Free Convection ◽  
Skin Friction ◽  
Mhd Flow ◽  
Reynolds Numbers ◽  
Magnetic Reynolds Number ◽  
Convection Flow ◽  
Fluid Temperature ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Induced Field

Unsteady viscous incompressible free convection flow of an electrically conducting fluid between two heated vertical parallel plates is considered in the presence of a uniform magnetic field applied transversely to the flow. The induce field along the lines of motion varies transversely to the flow and the fluid temperature changing with time. An analytical solution for velocity, induced field and the temperature distributions are obtained for small and large magnetic Reynolds numbers. The skin-friction at the two plates is obtained. Velocity distribution, induced field and skin-friction are plotted against the distance from the plates. It has been observed that with the increase in Rm, the magnetic Reynolds number, at constant M, the Hartmann number, leads to an increase in the skin-friction gradually. But with the increase in M, at constant Rm, the skin-friction decreases.

scholarly journals Further Results on Nonlinearly Stretching Permeable Sheets: Analytic Solution for MHD Flow and Mass Transfer

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Rafael Cortell
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Friction Coefficient ◽  
Analytic Solution ◽  
Flat Surface ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Complete Set

The steady magnetohydrodynamic (MHD) flow and mass transfer of an incompressible, viscous, and electrically conducting fluid over a permeable flat surface stretched with nonlinear (quadratic) velocity and appropriate wall transpiration is investigated. It is shown that the problem permits an analytical solution for the complete set of equations with magnetic field influences when a fictitious presence of a chemical reaction is considered. Velocity and concentration fields are presented through graphs and discussed. The results for both skin friction coefficient and mass transfer gradient agree well with numerical results published in the literature.

scholarly journals On Series Solutions for MHD Plane and Axisymmetric Flow Near a Stagnation Point

2009 ◽  
Vol 2009 ◽  
pp. 1-10
Author(s):  
S. Abbasbandy ◽  
T. Hayat
Keyword(s):  
Stagnation Point ◽  
Axisymmetric Flow ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Axisymmetric Body ◽  
Wall Heat Transfer ◽  
Series Solutions ◽  
Analysis Method ◽  
Electrically Conducting ◽  
Homotopy Analysis

This investigation presents a mathematical model describing the momentum, heat and mass transfer characteristics of magnetohydrodynamic (MHD) flow and heat generating/absorbing fluid near a stagnation point of an isothermal two-dimensional body of an axisymmetric body. The fluid is electrically conducting in the presence of a uniform magnetic field. The series solution is obtained for the resulting coupled nonlinear differential equation. Homotopy analysis method (HAM) is utilized in obtaining the solution. Numerical values of the skin friction coefficient and the wall heat transfer coefficient are also computed.

Free convection effects on steady MHD flow past a vertical porous plate

1974 ◽  
Vol 66 (3) ◽  
pp. 541-551 ◽  
Author(s):  
V. M. Soundalgekar
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Porous Plate ◽  
Mhd Flow ◽  
Approximate Solutions ◽  
Magnetic Reynolds Number ◽  
Plate Temperature ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
The Difference

An analysis of two-dimensional steady flow of an incompressible, viscous, electrically conducting fluid past an infinite vertical porous plate is carried out under the following assumptions: (i) that the suction velocity normal to the plate is constant, (ii) that the plate temperature is constant, (iii) that the difference between the temperatures of the plate and the free stream is moderately large, causing free convection currents, (iv) that the transversely applied magnetic field and magnetic Reynolds number are very small and hence the induced magnetic field is negligible.Approximate solutions to the coupled nonlinear equations governing the steady velocity and temperature are derived. They are shown graphically. During the course of discussion, the effects of positive and negative G (the Grashof number: G > 0 implies cooling of the plate, G < 0 heating of the plate), of P (the Prandtl number), of positive and negative E (the Eckert number) and of M (the magnetic field parameter) are presented quantitatively.

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.

Oscillatory blood flow through a capillary in presence of thermal radiation

2015 ◽  
Vol 08 (01) ◽  
pp. 1550014 ◽  
Author(s):  
A. Sinha ◽  
G. C. Shit
Keyword(s):  
Blood Flow ◽  
Thermal Radiation ◽  
Fundamental Problem ◽  
Nonlinear Differential Equations ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Temperature Fields ◽  
Graphical Form ◽  
Computational Results ◽  
Electrically Conducting

This paper deals with the theoretical investigation of a fundamental problem of magnetohydrodynamic (MHD) flow of blood in a capillary in the presence of thermal radiation and chemical reaction. The unsteadiness in the flow and temperature fields is caused by the time-dependence of the stretching velocity and the surface temperature. The fluid is considered to be non-Newtonian, whose flow is governed by the equation of a third-order fluid. The problem is first reduced to solving a system of coupled nonlinear differential equations involving several parameters. Considering blood as an electrically conducting fluid and using the present analysis, an attempt is made to compute some parameters of the blood flow by developing a suitable numerical method and by devising an appropriate finite difference scheme. The computational results are presented in graphical form, and thereby some theoretical predictions are made with respect to the hemodynamical flow of the blood in a hyperthermal state under the action of a magnetic field. Computational results for the variation in velocity, temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood number are presented in graphical/tabular form. Since the study takes care of thermal radiation in blood flow, the results reported here are likely to have an important bearing on the therapeutic procedure of hyperthermia, particularly in understanding blood flow and heat transfer in capillaries.

Effect of Non-Uniform Heat Generation on Unsteady MHD Flow Over a Vertical Stretching Surface with Variable Thermal Conductivity

2013 ◽  
Vol 30 (2) ◽  
pp. 199-208 ◽  
Author(s):  
M. Muthtamilselvan ◽  
D. Prakash ◽  
D.-H. Doh
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Heat Generation ◽  
Mhd Flow ◽  
Variable Thermal Conductivity ◽  
Skin Friction Coefficient ◽  
Temperature Dependent ◽  
Shooting Technique ◽  
Electrically Conducting ◽  
Layer Flow

ABSTRACTThe effect of space and temperature dependent heat generation/absorption on an unsteady laminar boundary layer flow of viscous, incompressible, radiating and electrically conducting fluid over a vertical stretching permeable surface is investigated numerically in the presence of applied magnetic field and buoyancy force. By applying similarity analysis, the governing partial differential equations are transformed into a set of non-linear coupled ordinary differential equations and they are solved by Runge-Kutta-Fehlberg method along with shooting technique. The numerical values obtained within the boundary layer for the dimensionless velocity, temperature, skin friction coefficient and heat transfer rate are presented through graphs and tables for several set of values of governing parameters.

The Flow of Conducting Fluids in Circular Pipes With Finite Conductivity Under Uniform Transverse Magnetic Fields

1967 ◽  
Vol 34 (1) ◽  
pp. 29-36 ◽  
Author(s):  
Sadatoshi Ihara ◽  
Kiyohiro Tajima ◽  
Akira Matsushima
Keyword(s):  
Theoretical Calculations ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Finite Conductivity ◽  
Electrically Conducting ◽  
Wall Conductivity ◽  
Circular Pipes ◽  
Poiseuille Number ◽  
Conducting Fluids ◽  
Good Agreement

The flow of incompressible, viscous, electrically conducting fluids in circular pipes in the presence of an applied transverse magnetic field is analyzed theoretically and experimentally. The relations among the Hartmann number, the Poiseuille number, skin friction coefficient, the Reynolds number, sensitivity, and wall conductivity are discussed. The experimental results using carbon pipe, stainless-steel pipe, and glass pipe are in good agreement with theoretical calculations.

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