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Journal ArticleDOI

Hiemenz flow in hydromagnetics

P. D. Ariel
- 01 Mar 1994 - 
- Vol. 103, Iss: 1, pp 31-43
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TLDR
In this article, the laminar flow of an incompressible, viscous, electrically conducting fluid impinging normal to a plane in the presence of a transverse magnetic field is investigated.
Abstract
The laminar flow of an incompressible, viscous, electrically conducting fluid impinging normal to a plane in the presence of a transverse magnetic field is investigated. Using finite-differences and quasilinearization, an exact numerical solution is presented which takes into account the asymptotic boundary condition. It is demonstrated that iff denotes the dimensionless stream function, the value off″(0) increases monotonically withM, the Hartmann number, where a prime denotes the derivative normal to the plane.

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Citations
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Magnetohydrodynamic (MHD) flow and heat transfer due to a stretching cylinder

TL;DR: In this paper, the authors deal with the numerical solution of MHD flow and heat transfer outside a stretching cylinder, where the governing system of partial differential equations is converted into a system of ordinary differential equations using similarity transformation, which is then solved numerically by the Keller box method.
Journal ArticleDOI

Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of a heat source or sink

TL;DR: In this paper, the steady-state, hydromagnetic forced convective boundary-layer flow of an incompressible Newtonian, electrically-conducting and heat-generating/absorbing fluid over a non-isothermal wedge in the presence of thermal radiation effects is considered.
Journal ArticleDOI

MHD stagnation‐point flow towards a shrinking sheet

TL;DR: In this article, a similarity transformation is used to reduce the governing partial differential equations to a set of nonlinear ordinary differential equations which are then solved numerically using Keller-box method.
Journal ArticleDOI

Similarity solutions for hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media

TL;DR: In this paper, the problem of coupled heat and mass transfer by mixed convection in a linearly stratified stagnation flow (Hiemenz flow) in the presence of an externally applied magnetic field and internal heat generation or absorption effects is formulated.
References
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Book

Introduction to Numerical Analysis

TL;DR: This well written book is enlarged by the following topics: B-splines and their computation, elimination methods for large sparse systems of linear equations, Lanczos algorithm for eigenvalue problems, implicit shift techniques for theLR and QR algorithm, implicit differential equations, differential algebraic systems, new methods for stiff differential equations and preconditioning techniques.
Book

Computational techniques for fluid dynamics

TL;DR: In this article, the dynamique des : fluides, equations : differentielles, analyse, elements : finis, stabilite, stationnaire, mathematiques, methodes, numeriques, etc.
Journal ArticleDOI

Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point

TL;DR: In this article, the authors extended the boundary-layer theory for an idealized elastico-viscous liquid and showed that the main effect of elasticity is to increase the velocity in the boundary layer and increase the stress on the solid boundary.