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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.


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:
Publisher:
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.


Convection and Conduction Heat Transfer

Convection and Conduction Heat Transfer
Author: Amimul Ahsan
Publisher: BoD – Books on Demand
Total Pages: 410
Release: 2011-10-21
Genre: Science
ISBN: 9533075821

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The convection and conduction heat transfer, thermal conductivity, and phase transformations are significant issues in a design of wide range of industrial processes and devices. This book includes 18 advanced and revised contributions, and it covers mainly (1) heat convection, (2) heat conduction, and (3) heat transfer analysis. The first section introduces mixed convection studies on inclined channels, double diffusive coupling, and on lid driven trapezoidal cavity, forced natural convection through a roof, convection on non-isothermal jet oscillations, unsteady pulsed flow, and hydromagnetic flow with thermal radiation. The second section covers heat conduction in capillary porous bodies and in structures made of functionally graded materials, integral transforms for heat conduction problems, non-linear radiative-conductive heat transfer, thermal conductivity of gas diffusion layers and multi-component natural systems, thermal behavior of the ink, primer and paint, heating in biothermal systems, and RBF finite difference approach in heat conduction. The third section includes heat transfer analysis of reinforced concrete beam, modeling of heat transfer and phase transformations, boundary conditions-surface heat flux and temperature, simulation of phase change materials, and finite element methods of factorial design. The advanced idea and information described here will be fruitful for the readers to find a sustainable solution in an industrialized society.


Magnetohydrodynamic Flow in Ducts

Magnetohydrodynamic Flow in Ducts
Author: Herman Branover
Publisher: Halsted Press
Total Pages: 312
Release: 1978
Genre: Science
ISBN:

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Liquid-metal Flow in a Rectangular Duct with a Non-uniform Magnetic Field

Liquid-metal Flow in a Rectangular Duct with a Non-uniform Magnetic Field
Author:
Publisher:
Total Pages:
Release: 1986
Genre:
ISBN:

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This paper treats liquid-metal flow in rectangular ducts with thin conducting walls. A transverse magnetic field changes from a uniform strength upstream to a weaker uniform strength downstream. The Hartmann number and the interaction parameter are assumed to be large, while the magnetic Reynolds number is assumed to be small. If the magnetic field changes gradually over a long duct length, the velocity and pressure are nearly uniform in each cross section and the flow differs slightly from locally fully developed flow. If the magnetic field changes more abruptly over a shorter duct length, the velocity and pressure are much larger near the walls parallel to the magnetic field than in the central part of duct. Solutions for the pressure drops due to the magnetic field change are presented.


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:
Publisher:
Total Pages:
Release: 1988
Genre:
ISBN:

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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.


INIS Atomindex

INIS Atomindex
Author:
Publisher:
Total Pages: 794
Release: 1996
Genre: Nuclear energy
ISBN:

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Metals Abstracts

Metals Abstracts
Author:
Publisher:
Total Pages: 636
Release: 1995
Genre: Metallurgy
ISBN:

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