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

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.

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

Thermal Science ◽

10.2298/tsci1102527c ◽

2011 ◽

Vol 15 (2) ◽

pp. 527-536 ◽

Cited By ~ 8

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.

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Flow and heat transfer for a power-law electrically conducting fluid flowing between parallel plates under transverse magnetic field with viscous dissipation

Proceedings of the Indian Academy of Sciences - Section A ◽

10.1007/bf03051339 ◽

1976 ◽

Vol 83 (5) ◽

pp. 188-201 ◽

Cited By ~ 1

Author(s):

K. M. Sundaram ◽

G. Nath

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Viscous Dissipation ◽

Transverse Magnetic Field ◽

Power Law ◽

Transverse Magnetic ◽

Parallel Plates ◽

Electrically Conducting ◽

Flow And Heat Transfer ◽

Electrically Conducting Fluid

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Solutions for the flow of a conducting power-law fluid in a transverse magnetic field and with a pressure gradient using Crocco variables

Acta Mechanica ◽

10.1007/bf01179211 ◽

1999 ◽

Vol 137 (3-4) ◽

pp. 225-235 ◽

Cited By ~ 6

Author(s):

T. C. Chiam

Keyword(s):

Magnetic Field ◽

Pressure Gradient ◽

Transverse Magnetic Field ◽

Power Law ◽

Transverse Magnetic ◽

Power Law Fluid

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

Thermal Science ◽

10.2298/tsci0901005s ◽

2009 ◽

Vol 13 (1) ◽

pp. 5-12 ◽

Cited By ~ 8

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.

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Similarity Solutions of the MHD Stagnation-Point Flow over a Power-Law Stretching Sheet

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.52-54.1895 ◽

2011 ◽

Vol 52-54 ◽

pp. 1895-1900

Author(s):

Jing Zhu ◽

Lian Cun Zheng ◽

Xue Hui Chen

Keyword(s):

Stagnation Point ◽

Power Law ◽

Stretching Sheet ◽

Velocity Ratio ◽

Similarity Solutions ◽

Stagnation Point Flow ◽

Electrically Conducting ◽

Power Law Exponent ◽

Permeability Parameter ◽

Scaling Group Of Transformations

A similarity analysis is performed for a steady laminar boundary layer stagnation-point flow of an electrically conducting fluid in a porous medium subject to a transverse non-uniform magnetic field past a non-linear stretching sheet. A scaling group of transformations is applied to get the invariants. Using the invariants, a third order ordinary differential equation corresponding to the momentum is obtained. We show the existence and uniqueness of convex and concave solutions for the power law exponent, according to the values of magnetic parameter, permeability parameter and velocity ratio parameter.

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