Effects of the magnetic field on a non-Newtonian conducting fluid past a stretching plate

1994 ◽  
Vol 72 (5-6) ◽  
pp. 290-292 ◽  
Author(s):  
K. A. Helmy
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Elastic Parameter ◽  
Conducting Fluid ◽  
Parameter Method ◽  
Similarity Parameter ◽  
Boundary Layer Equations ◽  
Layer Flow ◽  
Stretching Plate ◽  
The Magnetic Field

The boundary-layer flow past a stretching plate in a viscoelastic conducting fluid in the presence of a magnetic field is considered. The solution for the boundary-layer equations is obtained using the similarity parameter method. An analytic solution for the temperature distribution of the plate undergoing cooling in this fluid and in the boundary layer is developed. The effect of the visco-elastic parameter k0 and the magnetic field on the flow velocity is investigated. The effect of the magnetic field on the convergence of the solution is also discussed.

Erratum: Effects of the magnetic field on a non-Newtonian conducting fluid past a stretching plate

1994 ◽  
Vol 72 (9-10) ◽  
pp. 722-724
Author(s):  
K. A. Helmy
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Elastic Parameter ◽  
Conducting Fluid ◽  
Parameter Method ◽  
Similarity Parameter ◽  
Boundary Layer Equations ◽  
Layer Flow ◽  
Stretching Plate ◽  
The Magnetic Field

The boundary-layer flow past a stretching plate in a viscoelastic conducting fluid in the presence of a magnetic field is considered. The solution for the boundary-layer equations is obtained using the similarity parameter method. An analytic solution for the temperature distribution of the plate undergoing cooling in this fluid and in the boundary layer is developed. The effect of the visco-elastic parameter k0 and the magnetic field on the flow velocity is investigated. The effect of the magnetic field on the convergence of the solution is also discussed.

scholarly journals Separation Points of Magneto-hydrodynamic Boundary Layer Flow Along a Vertical Plate with Exponentially Decreasing Free Stream Velocity

1970 ◽  
Vol 5 (1) ◽  
pp. 11-18 ◽  
Author(s):  
MA Alim ◽  
MM Rahman ◽  
MM Karim
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Vertical Plate ◽  
Free Stream ◽  
Stream Velocity ◽  
Convection Boundary Layer ◽  
Boundary Layer Equations ◽  
Box Scheme ◽  
Convection Boundary ◽  
Layer Flow

The points of separation of magneto-hydrodynamic mixed convection boundary layer flow along a vertical plate have been investigated. The free stream velocity is considered decreasing exponentially in the stream wise direction. The governing boundary layer equations are transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are reduced to local non-similar boundary layer equations, which are solved numerically by implicit finite difference method known as Keller box scheme. Here we have focused our attention to find the effects of suction, magnetic field and other relevant physical parameters on the position of boundary layer separation. The numerical results are expressed in terms of local shear stress showing the effects of suction, buoyancy, Prandlt number and magnetic field on the shear stress as well as on the points of separation. Keywords: Separation points, magneto-hydrodynamic, mixed convection, boundary layer, suction, finite difference method, Keller box scheme.   doi:10.3329/jname.v5i1.1868Journal of Naval Architecture and Marine Engineering Vol. 5, No. 1 (June, 2008) 11-18. 

scholarly journals Three-Dimensional Magnetic Fluid Boundary Layer Flow Over a Linearly Stretching Sheet

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
E. E. Tzirtzilakis ◽  
N. G. Kafoussias
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Magnetic Fluid ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Numerical Technique ◽  
Three Dimensional ◽  
Magnetic Interaction ◽  
Layer Flow ◽  
The Magnetic Field

The three-dimensional laminar and steady boundary layer flow of an electrically nonconducting and incompressible magnetic fluid, with low Curie temperature and moderate saturation magnetization, over an elastic stretching sheet, is numerically studied. The fluid is subject to the magnetic field generated by an infinitely long, straight wire, carrying an electric current. The magnetic fluid far from the surface is at rest and at temperature greater of that of the sheet. It is also assumed that the magnetization of the fluid varies with the magnetic field strength H and the temperature T. The numerical solution of the coupled and nonlinear system of ordinary differential equations, resulting after the introduction of appropriate nondimensional variables, with its boundary conditions, describing the problem under consideration, is obtained by an efficient numerical technique based on the common finite difference method. Numerical calculations are carried out for the case of a representative water-based magnetic fluid and for specific values of the dimensionless parameters entering into the problem, and the obtained results are presented graphically for these values of the parameters. The analysis of these results showed that there is an interaction between the motions of the fluid, which are induced by the stretching surface and by the action of the magnetic field, and the flow field is noticeably affected by the variations in the magnetic interaction parameter β. The important results of the present analysis are summarized in Sec. 6.

scholarly journals Numerical Analysis of Heat Transfer of Eyring Powell Fluid Using Double Stratification of Magneto-Hydrodynamic Boundary Layer Flow

2020 ◽  
pp. 91-108
Author(s):  
Wekesa Waswa Simon ◽  
Winifred Nduku Mutuku
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Boundary Layer ◽  
Nusselt Number ◽  
Thermal Stratification ◽  
Fluid Velocity ◽  
Double Stratification ◽  
Hydrodynamic Boundary Layer ◽  
Layer Flow ◽  
The Magnetic Field

Heat transfer fluids play a vital role in many engineering and industrial sectors such as power generation, chemical production, air-conditioning, transportation and microelectronics. Aim: To numerically investigate the effect of double stratification on magneto-hydrodynamic boundary layer flow and heat transfer of an Eyring-Powell fluid. Study Design: Eyring-Powell fluid is one of the non-Newtonian fluid that possess different characteristics thus different mathematical models have been formulated to describe such fluids by appropriate substitution into Navier-Stoke’s equations. The challenging complexity and the nature of the resultant equations are of great interest hence attract many investigations. Place and Duration of Study: Department of Mathematics and Actuarial Science, Kenyatta University, Nairobi, Kenya between December 2019 and October 2020. Methodology: The resultant nonlinear equations are transformed to linear differential equations by introducing appropriate similarity transformations. The resulting equations are solved numerically by simulating the predictor-corrector (P-C) method in matlab ode113. The results are graphically depicted and analysed to illustrate the effects of magnetic field, thermophoresis, thermal stratification, solutal stratification, material fluid parameters and Grashoff number on the fluid velocity, temperature, concentration, local Sherwood number and local Nusselt number. Results: The results show that increasing the magnetic field strength, thermophoresis, thermal stratification and solutal stratification lead to a decrease in the fluid velocity, temperature, Sherwood number, Nusselt number and skin friction while an increase in the magnetic field strength, thermal stratification, solutal stratification, and thermophoresis increases the fluid concentration. Conclusion: The parameters in this study can be varied to enhance heat ejection of Eyring-Powell fluid and applied in industries as a coolant or heat transfer fluid.

scholarly journals Magnetohydrodynamic cross-field boundary layer flow

1982 ◽  
Vol 5 (2) ◽  
pp. 377-384 ◽  
Author(s):  
D. B. Ingham ◽  
L. T. Hildyard
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Asymptotic Solution ◽  
Boundary Layer Flow ◽  
Leading Edge ◽  
Field Boundary ◽  
Boundary Layer Equations ◽  
Mhd Boundary Layer ◽  
Blasius Boundary Layer ◽  
Layer Flow

The Blasius boundary layer on a flat plate in the presence of a constant ambient magnetic field is examined. A numerical integration of the MHD boundary layer equations from the leading edge is presented showing how the asymptotic solution described by Sears is approached.

The Momentum Integral Approximation for Compressible Magnetogasdynamic Boundary-Layer Flow

1963 ◽  
Vol 30 (2) ◽  
pp. 269-274 ◽  
Author(s):  
J. J. Kauzlarich ◽  
A. B. Cambel
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Magnetic Reynolds Number ◽  
Viscous Drag ◽  
Adiabatic Wall ◽  
Integral Approximation ◽  
Two Dimensional Flow ◽  
Layer Flow ◽  
Momentum Integral ◽  
The Magnetic Field

The drag of an adiabatic flat plate in an ionized gas for a constant magnetic field applied to the boundary layer on the plate is found by a momentum integral approximation of von Karman. Laminar, two-dimensional flow, zero pressure gradient, small magnetic Reynolds number, and negligible electrical conductivity outside the boundary layer are assumed. The solution is valid in particular to a continuous, perfect-gas plasma, of unitary Prandtl number, and for conditions when the interaction parameter is very small. The solution shows the following effects: The adiabatic wall temperature is independent of the magnetic field; there is an increase in the boundary-layer thickness as the magnetic-field strength is increased; and the viscous drag coefficient decreases whereas the coefficient of total drag increases.

Free-forced convective boundary-layer flow of a biomagnetic fluid under the action of a localized magnetic field

2008 ◽  
Vol 86 (3) ◽  
pp. 447-457 ◽  
Author(s):  
N G Kafoussias ◽  
E E Tzirtzilakis ◽  
A Raptis
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Convective Boundary Layer ◽  
Boundary Layer Flow ◽  
Numerical Technique ◽  
Convective Boundary ◽  
Layer Flow ◽  
Biomagnetic Fluid ◽  
The Magnetic Field ◽  
Localized Magnetic Field

The problem of the two-dimensional steady and laminar free-forced convective boundary-layer flow of a biomagnetic fluid over a semi-infinite vertical plate, under the action of a localized magnetic field, is numerically studied. The dynamic viscosity of the biomagnetic fluid as well as its thermal conductivity is considered to be temperature-dependent whereas the magnetization of the fluid varies linearly with the magnetic field strength. The numerical solution of the coupled and nonlinear system of partial differential equations (resulting after the introduction of appropriate nondimensional variables) with boundary conditions describing the problem under consideration, is obtained by an efficient numerical technique based on the common finite difference method. Numerical calculations were carried out for the case of blood (Pr = 21) for different values of the dimensionless parameters entering into the problem, especially for the magnetic parameter Mn and the viscosity–temperature parameter Θr. The analysis of the obtained results, presented in figures, shows that the flow field is influenced by the application of the magnetic field, which could be interesting for medical and bioengineering applications. PACS Nos.: 44.20.+b, 44.25.+f, 44.27.+g, 47.15.Cb, 47.65.Cb, 47.63.–b, 47.90.+a

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