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.

Effects of Non-Uniform Heat Source/Sink and Viscous Dissipation on MHD Boundary Layer Flow of Williamson Nanofluid through Porous Medium

2018 ◽  
Vol 389 ◽  
pp. 110-127 ◽  
Author(s):  
Kharabela Swain ◽  
Sampada Kumar Parida ◽  
G.C. Dash
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Porous Medium ◽  
Heat Source ◽  
Viscous Dissipation ◽  
Boundary Layer Flow ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Source Sink ◽  
Mhd Boundary Layer Flow

The effects of non-uniform heat source/sink and viscous dissipation on MHD boundary layer flow of Williamson nanofluid through porous medium under convective boundary conditions are studied. Surface transport phenomena such as skin friction, heat flux and mass flux are discussed besides the three boundary layers. The striking results reported as: increase in Williamson parameter exhibiting nanofluidity and external magnetic field lead to thinning of boundary layer, besides usual method of suction and shearing action at the plate, a suggestive way of controlling the boundary layer growth. It is easy to implement to augment the strength of magnetic field by regulating the voltage in the circuit. Also, addition of nano particle to the base fluid serves as an alternative device to control the growth of boundary layer and producing low friction at the wall. The present analysis is an outcome of Runge-Kutta fourth order method with a self corrective procedure i.e. shooting method.

A small unsteady perturbation on the steady hydromagnetic boundary-layer flow past a semi-infinite plate

1970 ◽  
Vol 68 (2) ◽  
pp. 509-528 ◽  
Author(s):  
U. N. Das
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Infinite Plate ◽  
Steady Solution ◽  
Boundary Layer Equations ◽  
Flow Past ◽  
Small Times ◽  
Dimensional Boundary ◽  
Layer Flow

AbstractThis paper is concerned with the unsteady hydromagnetic boundary-layer flow past a semi-infinite flat plate when the oncoming free stream is perturbed by an arbitrary function of time and the applied magnetic field is parallel to the plate far away from it. Following Lighthill, the two-dimensional boundary-layer equations are separated into those representing steady and unsteady parts of the flow and they have been solved in sequence. For the unsteady part of the motion two types of solutions are obtained, one for large times and the other for small times. Also the quasi-steady solution is obtained in terms of the steady solution. The skin friction and the tangential magnetic field at the plate are calculated.

The effect of buoyancy on the boundary layer about a heated horizontal circular cylinder in axial streaming

1970 ◽  
Vol 44 (3) ◽  
pp. 529-543 ◽  
Author(s):  
Karen Plain Switzer
Keyword(s):  
Boundary Layer ◽  
Circular Cylinder ◽  
Drift Velocity ◽  
Boundary Layer Flow ◽  
Asymptotic Series ◽  
Leading Edge ◽  
Axial Velocity Component ◽  
Boundary Layer Equations ◽  
Layer Flow ◽  
Horizontal Circular Cylinder

The boundary-layer flow over a semi-infinite horizontal circular cylinder heated to a constant temperature and immersed in a uniform axial free stream is discussed in five situations corresponding to successively greater displacements from the leading edge. In the first three cases the drift velocity due to buoyancy is assumed small compared to the axial velocity component. Close to the leading edge of the cylinder the techniques of Seban & Bond are extended to include the drift velocity; far from the leading edge the asymptotic series methods of Stewartson, of Glauert & Lighthill, and of Eshghy & Hornbeck are employed to obtain a solution for the drift velocity. In the intermediate zone where the series solutions do not apply the appropriate partial differential equations are solved numerically. Still further downstream than the region where the ‘asymptotic’ solutions hold it is assumed that the boundary-layer flow is primarily convective and that the boundary layer is thin compared with the radius of the cylinder. A series solution is obtained which is valid near the lowest generator of the cylinder. Numerical methods are used to advance this solution upwards around the cylinder by solving the full boundary-layer equations step-by-step.

Boundary-layer separation at a free streamline Part 2. Numerical results

1971 ◽  
Vol 46 (4) ◽  
pp. 727-736 ◽  
Author(s):  
R. C. Ackerberg
Keyword(s):  
Boundary Layer ◽  
Asymptotic Expansion ◽  
Asymptotic Solution ◽  
Numerical Solution ◽  
Boundary Layer Flow ◽  
Boundary Layer Separation ◽  
Multiplicative Constant ◽  
Boundary Layer Equations ◽  
Layer Flow ◽  
Uniform Stream

An asymptotic solution of the boundary-layer equations, valid just upstream of a free streamline attached to the sharp trailing edge of a body, is compared with a numerical solution for the boundary-layer flow on a finite flat plate set perpendicular to a uniform stream. An arbitrary multiplicative constant in the asymptotic expansion, arising from an eigenfunction, is evaluated by requiring the skin friction to agree with a numerical value close to the free streamline. Using this value, the velocity profiles, computed from the asymptotic expansion, are in excellent agreement with the numerical solution.

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