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The Electric Field in an MHD Duct with Permeable Electrodes when the Hall Effect is Present in the Flow of the Moving Medium; 042d 041b 0414

Conference:

Abstract

The authors provide a solution to the problem of current distribution in a magnetohydrodynamic duct with permeable electrodes in which the conductivity of the moving medium is assumed to have a tensorial character. Permeable electrodes strongly influence the current distribution in the neighbourhood of the conducting walls of the duct. By appropriate blowing or sucking of the electrically conducting medium, we can suppress the end effects on the electrodes (due to the Hall effect in the flow and to the geometry of the duct); in this way the current distribution can be evened out. The authors find in their paper the necessary and sufficient conditions for which the current density takes on limited values near both ends of a permeable electrode. The velocity distribution on the conducting wall will be variable in sign as in some places there will be a blowing effect, mothers a sucking one. Another effect associated with the use of permeable electrodes is related to the integral characteristics of MHD converters. Thus, given anisotropic conductivity (due to the Hall effect) in a linear MHD duct with two permeable electrodes, the properties of Hall and Faraday energy converters will be combined if the conducting medium is blown  More>>
Authors:
Emec, Ju. P.; Panasevich, L. L. [1] 
  1. Institut Elektrodinamiki AN USSR, Kiev, USSR (Ukraine)
Publication Date:
Nov 15, 1968
Product Type:
Conference
Report Number:
IAEA-SM-107/178
Resource Relation:
Conference: Symposium on Magnetohydrodynamic Electrical Power Generation, Warsaw (Poland), 24-30 Jul 1968; Other Information: 12 refs., 2 figs.; Related Information: In: Electricity from MHD, 1968. Vol. IV. Open-Cycle MHD. Proceedings of a Symposium on Magnetohydrodynamic Electrical Power Generation| 766 p.
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; BOUNDARY-VALUE PROBLEMS; CURRENT DENSITY; DISTRIBUTION; DUCTS; ELECTRIC FIELDS; ELECTRODES; END EFFECTS; HALL EFFECT; MAGNETOHYDRODYNAMICS; VELOCITY; WALLS
OSTI ID:
22200098
Research Organizations:
International Atomic Energy Agency, Vienna (Austria)
Country of Origin:
IAEA
Language:
Russian
Other Identifying Numbers:
Other: ISSN 0074-1884; TRN: XA13M4389020921
Submitting Site:
INIS
Size:
page(s) 2481-2492
Announcement Date:
Feb 27, 2014

Conference:

Citation Formats

Emec, Ju. P., and Panasevich, L. L. The Electric Field in an MHD Duct with Permeable Electrodes when the Hall Effect is Present in the Flow of the Moving Medium; 042d 041b 0414. IAEA: N. p., 1968. Web.
Emec, Ju. P., & Panasevich, L. L. The Electric Field in an MHD Duct with Permeable Electrodes when the Hall Effect is Present in the Flow of the Moving Medium; 042d 041b 0414. IAEA.
Emec, Ju. P., and Panasevich, L. L. 1968. "The Electric Field in an MHD Duct with Permeable Electrodes when the Hall Effect is Present in the Flow of the Moving Medium; 042d 041b 0414." IAEA.
@misc{etde_22200098,
title = {The Electric Field in an MHD Duct with Permeable Electrodes when the Hall Effect is Present in the Flow of the Moving Medium; 042d 041b 0414}
author = {Emec, Ju. P., and Panasevich, L. L.}
abstractNote = {The authors provide a solution to the problem of current distribution in a magnetohydrodynamic duct with permeable electrodes in which the conductivity of the moving medium is assumed to have a tensorial character. Permeable electrodes strongly influence the current distribution in the neighbourhood of the conducting walls of the duct. By appropriate blowing or sucking of the electrically conducting medium, we can suppress the end effects on the electrodes (due to the Hall effect in the flow and to the geometry of the duct); in this way the current distribution can be evened out. The authors find in their paper the necessary and sufficient conditions for which the current density takes on limited values near both ends of a permeable electrode. The velocity distribution on the conducting wall will be variable in sign as in some places there will be a blowing effect, mothers a sucking one. Another effect associated with the use of permeable electrodes is related to the integral characteristics of MHD converters. Thus, given anisotropic conductivity (due to the Hall effect) in a linear MHD duct with two permeable electrodes, the properties of Hall and Faraday energy converters will be combined if the conducting medium is blown through one electrode and sucked through the second. A flow scheme of this kind is studied in the paper. Mathematically, when the electric field is found a solution is obtained to the Riemann-Gilbert heterogeneous boundary value problem with discontinuous coefficients. This problem reduces to the Riemann boundary value problem (in the case of a zone belonging to a class of automorphic functions) and its solution, based on the properties of Cauchy integrals, is obtained in closed form. (author) [Russian] Daetsja reshenie zadachi o raspredelenii toka v magnitogidrodinamicheskom kanale s pronicaemymi jelektrodami pri tenzornom haraktere provodimosti dvizhushhejsja sredy. Nalichie pronicaemyh jelektrodov okazyvaet sushhestvennoe vlijanie na raspredelenie toka v okrestnosti provodjashhih stenok kanala. Putem vybora zakona vduva (otsosa) jelektroprovodnoj sredy-podavljajutsja koncevye javlenija na jelektrodah (obuslovlennye jeffektom Holla dvizhushhegosja potoka i geometriej kanala) i raspredelenie toka na nem vyravnivaetsja . Vyvodjatsja neobhodimye i dostatochnye uslovija, pri kotoryh plotnost' toka prinimaet ogranichennye znachenija vblizi oboih koncov pronicaemogo jelektroda. Zakon raspredelenija skorosti na provodjashhej stenke pri jetom, kak pravilo, znakoperemennyj: na otdel'nyh uchastkah jelektroda neobhodimo proizvodit' vduv, a na drugih - otsos provodjashhej sredy. Drugoe obstojatel'stvo, kotoroe projavljaetsja blagodarja pronicaemym jelektrodam, svjazano s integral'nymi harakteristikami MGD-preobrazovatelej. Tak, pri anizotropii provodimosti (obuslovlennoj jeffektom Holla) v linejnom magnitogidrodinamicheskom kanale s dvumja pronicaemymi jelektrodami v sluchae, kogda cherez odin jelektrod vduvaetsja, a cherez vtoroj otsasyvaetsja jelektroprovodnaja sreda, sovmeshheny svojstva hollovskogo i faradeevskogo preobrazovatelej jenergii. Jeta shema techenija izuchaetsja v dannoj rabote. Matematicheski nahozhdenie jelektricheskogo polja privodit k resheniju neodnorodnoj kraevoj zadachi Rimana-Gil'- berta s razryvnymi kojefficientami. Jeta zadacha reduciruetsja k kraevoj zadache Rimana (v sluchae polosy v klasse-avtomorfnyh funkcij) i ee reshenie, opirajushheesja na svojstva integralov tipa Koshi, polucheno v zamknutoj forme. (author)}
place = {IAEA}
year = {1968}
month = {Nov}
}