Duct flow in magnetohydrodynamics

Chang, C. C.; Lundgren, T. S.

doi:10.1007/bf01601011

Cited by 158 publications

(57 citation statements)

References 3 publications

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“…This result is in accordance with Chang and Lundgren (1961) for α = 1. In thin-wall ferritic pipes with µ w À 1 the coefficient α asymptotes to α → 2 (µ w ε) −1 .…”

supporting

confidence: 90%

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Magnetohydrodynamic flow in ferromagnetic pipes

Bühler

Messadek

Stieglitz

2002

Fusion Engineering and Design

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The major part of the magnetohydrodynamic pressure drop in the European water cooled concept for a fusion blanket arises in the circular pipes which distribute the liquid metal breeder among the poloidal containers. These channels are surrounded by a very massive structure of electrically conducting ferromagnetic material. The present work highlights the key problems which concern pressure drop and ßow distribution in circular pipes with thick conducting walls. The point which has not been investigated in the past is the inßuence of ferromagnetic wall material. The wall acts like a magnetic shielding for moderate external magnetic Þelds. The Þeld inside the pipe is strongly reduced and as a result also the magnetohydrodynamic pressure drop. For conditions relevant for applications in fusion blankets the magnetic shielding is not as perfect since the wall material reaches magnetic saturation at the very strong external Þelds required for the magnetic conÞnement of the fusion plasma. Therefore the reduction of pressure drop is small for magnetic Þelds which are much larger than the saturation Þeld of the wall material. The most interesting regime exists near the magnetic saturation where curvilinear Þeld lines inside the pipe are observed. They result in velocity proÞles which differ from the well known classical solutions.

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“…This result is in accordance with Chang and Lundgren (1961) for α = 1. In thin-wall ferritic pipes with µ w À 1 the coefficient α asymptotes to α → 2 (µ w ε) −1 .…”

supporting

confidence: 90%

“…An exact solution has been published by Gold (1962). Asymptotic solutions for conducting thin walls have been given by Shercliff (1956) and Shercliff (1962) or by Chang and Lundgren (1961). All analyses assumed that the walls conÞning the electrically conducting ßuid are made of non-ferromagnetic material, i.e.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic flow in ferromagnetic pipes

Bühler

Messadek

Stieglitz

2002

Fusion Engineering and Design

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“…Many authors [4][5][6][7][8][9] discussed an oscillatory three-dimensional flow through a porous medium. The MHD flow through a duct/planar channels has also been studied by various researchers [10][11][12][13][14][15][16] . Ganapathy 17 gave an alternative solution to the previous problem.…”

Section: Introductionmentioning

confidence: 99%

Hall effects on MHD Convective flow of Visco-elastic fluid through a rotating porous channel

Raju¹,

Prasad²

2016

jusps-A

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In this paper, we consider hydromagnetic convective flow of an electrically conducting visco-elastic fluid through a rotating porous channel taking hall current into account. The governing equations are framed using Brinkman model. The exact solutions of the velocity and the temperature distributions are evaluated analytically using Laplace transform technique and which consist of the both steady and transient states. Thought is centered on the physical character of the solutions, and the construction of the various kinds of boundary layers outward appearance on the plates. The ultimate steady state velocity and temperature distributions are numerically discussed for various values of the flow parameters. The shear stresses and the Nusselt number are tabulated and discussed.

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“…MHD generators, accelerators, nuclear reactors, blood flow measurements, pumps and flow-meters. Due to the coupling of the equations of fluid mechanics and electrodynamics, the equations governing MHD flows are rather cumbersome and exact solutions are, therefore, available only for some simple geometries subject to simple boundary conditions (Chang and Lundgren, 1961;Dragos, 1975;Gold, 1962;Hunt, 1965;Shercliff, 1953). Therefore, some numerical techniques have been used to obtain the approximate solutions for the MHD flow problems.…”

Section: Introductionmentioning

confidence: 99%

The Jacobi Spectral Method for Nonlinear Magneto- Hydrodynamic Jeffery-Hamel Problem

Bojdi¹,

Ahmadi‐Asl²,

Aminataei³

2013

CMS

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In this paper, using the collocation method based on Jacobi polynomials, we obtain the approximate solution of the magneto-hydrodynamic (MHD) Jeffery-Hamel problem. In addition, the sensitive analysis is studied. The method reduces solving the nonlinear ordinary differential equation to solve a system of nonlinear algebraic equations. The comparison of the results with the other numerical methods, show the efficiency and accuracy of the present method.

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Duct flow in magnetohydrodynamics

Cited by 158 publications

References 3 publications

Magnetohydrodynamic flow in ferromagnetic pipes

Magnetohydrodynamic flow in ferromagnetic pipes

Hall effects on MHD Convective flow of Visco-elastic fluid through a rotating porous channel

The Jacobi Spectral Method for Nonlinear Magneto- Hydrodynamic Jeffery-Hamel Problem

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