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Numerical Solutions of Three-dimensional MHD Flows in Strong Non-uniform Transverse Magnetic Fields

Numerical Solutions of Three-dimensional MHD Flows in Strong Non-uniform Transverse Magnetic Fields
Author:
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Total Pages:
Release: 1988
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Magnetohydrodynamic flows of liquid metals in thin conducting ducts of various geometries in the presence of strong nonuniform transverse magnetic fields are examined. The interaction parameter and Hartmann number are assumed to be large, whereas the magnetic Reynolds number is assumed to be small. Under these assumptions, viscous and inertial effects are confined in very thin boundary layers adjacent to the walls. At walls parallel to the magnetic field lines, as at the side walls of a rectangular duct, the boundary layers (side layers) carry a significant fraction of the volumetric flow rate in the form of high velocity jets. This paper describes the analysis and summarizes the numerical methods for obtaining 3-D solutions (core solutions) for flow parameters outside these layers, without solving explicitly for the layers themselves. 13 refs., 1 fig.


Three-dimensional MHD (magnetohydrodynamic) Flows in Rectangular Ducts of Liquid-metal-cooled Blankets

Three-dimensional MHD (magnetohydrodynamic) Flows in Rectangular Ducts of Liquid-metal-cooled Blankets
Author:
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Total Pages:
Release: 1988
Genre:
ISBN:

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Magnetohydrodynamic flows of liquid metals in rectangular ducts with thin conducting walls in the presence of strong nonuniform transverse magnetic fields are examined. The interaction parameter and Hartmann number are assumed to be large, whereas the magnetic Reynolds number is assumed to be small. Under these assumptions, viscous and inertial effects are confined in very thin boundary layers adjacent to the walls. A significant fraction of the fluid flow is concentrated in the boundary layers adjacent to the side walls which are parallel to the magnetic field. This paper describes the analysis and numerical methods for obtaining 3-D solutions for flow parameters outside these layers, without solving explicitly for the layers themselves. Numerical solutions are presented for cases which are relevant to the flows of liquid metals in fusion reactor blankets. Experimental results obtained from the ALEX experiments at Argonne National Laboratory are used to validate the numerical code. In general, the agreement is excellent. 5 refs., 14 figs.


MHD Flow in Rectangular Ducts with Inclined Non-uniform Transverse Magnetic Field

MHD Flow in Rectangular Ducts with Inclined Non-uniform Transverse Magnetic Field
Author:
Publisher:
Total Pages: 27
Release: 1994
Genre:
ISBN:

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This paper examines the three-dimensional liquid metal MHD flow in rectangular ducts with thin conducting walls and with an inclined nonuniform transverse magnetic field. The Hartmann number and interaction parameter are assumed to be large and the magnetic Reynolds number is assumed to be small. Under these assumptions, viscous and inertial effects are confined to thin boundary layers adjacent to the walls. Outside these layers, the governing equations are significantly simplified. For validation of the numerical solutions, exact analytical solutions are derived for the case of a rectangular duct of equal wall thickness and with a uniform magnetic field. Comparisons of the exact analytical and numerical solutions give excellent agreement. Variation of the fully developed flow pressure gradient with the wall conductance ratio, aspect ratio, and magnetic angle is discussed. Numerical solutions are presented for flow in the varying field region where the flow is perturbed due to three-dimensional effects. The three-dimensional pressure drop, i.e., in excess of the locally fully developed pressure, is presented and its implication to a fusion blanket is discussed. The velocity distributions are also presented.


Energy Research Abstracts

Energy Research Abstracts
Author:
Publisher:
Total Pages: 444
Release: 1994
Genre: Power resources
ISBN:

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Liquid Metal Magnetohydrodynamics

Liquid Metal Magnetohydrodynamics
Author: J.J. Lielpeteris
Publisher: Springer Science & Business Media
Total Pages: 454
Release: 2012-12-06
Genre: Science
ISBN: 9400909993

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Liquid metal MHO is within the scope of two series of international conferences. One is the International Congress on "MHD Power Generation", held every four years, which includes technical and economical aspects as well as scientific questions. The other if the Beer-Sheva Seminar on "MHO Flows and Turbulence", held every three years in Israel. In addition to these well established meetings, an IUTAM Symposium was previously organized in Cambridge (UK) in 1982 on "Metallurgical Applications of MHD" by the late Arthur Shercliff. It was focussed on a very specific subject developing radiply from the middle of the 1970's. The magnetic field was generally AC, including frequencies high enough for the skin-depth to be much smaller than the typical length scale of the liquide pool. And the development of new technologies, or the improvement of existing ones, was the main justification of most of the researches presented and discussed. Only two participants from Eastern countries attended this Symposium. By the middle of the 1980's we felt that on this very same topic ideas had reached much more maturity than in 1982. We also realized that a line of research on MHD flows related to fusion reactors (tokamaks) was developing significantly, with particular emphasis on flows at large interaction parameter.


Nuclear Science Abstracts

Nuclear Science Abstracts
Author:
Publisher:
Total Pages: 680
Release: 1976
Genre: Nuclear energy
ISBN:

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Experimental Investigation of 3-D MHD Flows at High Hartmann Number and Interaction Parameters

Experimental Investigation of 3-D MHD Flows at High Hartmann Number and Interaction Parameters
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Release: 1988
Genre:
ISBN:

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Experimental investigations of 3-D MHD flows in uniform thin conducting wall ducts of circular and square cross section, conducted at Argonne National Laboratory's ALEX facility, are reported. The three-dimensional nature of the flow arises from the spacial variation of the applied transverse magnetic field. Measurements were performed at several Hartmann numbers, M, and interaction parameters, N, with the peak value for M exceeding 6 x 103 and the peak value for N exceeding 105. Typical results and their comparison to numerical analysis reported in a companion paper are given, as is a brief description of the ALEX facility and the experimental methods employed. Ongoing activities and plans for future experiments are also discussed. 6 refs., 3 figs.