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Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap
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Zeitschriftentitel: | The Physics of Fluids |
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Personen und Körperschaften: | , |
In: | The Physics of Fluids, 30, 1987, 12, S. 3801-3808 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
AIP Publishing
|
Schlagwörter: |
author_facet |
Xu, J. J. Woo, J. T. Xu, J. J. Woo, J. T. |
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author |
Xu, J. J. Woo, J. T. |
spellingShingle |
Xu, J. J. Woo, J. T. The Physics of Fluids Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap General Engineering |
author_sort |
xu, j. j. |
spelling |
Xu, J. J. Woo, J. T. 0031-9171 AIP Publishing General Engineering http://dx.doi.org/10.1063/1.866417 <jats:p>The steady-state flow of a conducting fluid between two coaxial rotating disks in the presence of an axial magnetic field is considered for the following conditions: (1) the gap d between two disks is very small compared with the radial extension of the disks R; (2) the angular velocity of the disks is not too high, so that the thickness of the Eckman layer δ is still larger than the gap d, (d/δ)1/4≪1; and (3) the magnetic field B is moderate so that the corresponding Hartman number M≪R2/d2. Under these conditions asymptotic solutions to the problem are obtained in terms of the small parameter Ε=d/R. The results show that to the lowest-order approximation, the electric properties of the disks are not important to the flow field, while the magnitude of the magnetic field plays an important role in the equilibrium flow profile.</jats:p> Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap The Physics of Fluids |
doi_str_mv |
10.1063/1.866417 |
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Online |
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AIP Publishing, 1987 |
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AIP Publishing, 1987 |
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0031-9171 |
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0031-9171 |
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English |
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AIP Publishing (CrossRef) |
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1987 |
publisher |
AIP Publishing |
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ai |
record_format |
ai |
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The Physics of Fluids |
source_id |
49 |
title |
Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_unstemmed |
Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_full |
Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_fullStr |
Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_full_unstemmed |
Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_short |
Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_sort |
asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
topic |
General Engineering |
url |
http://dx.doi.org/10.1063/1.866417 |
publishDate |
1987 |
physical |
3801-3808 |
description |
<jats:p>The steady-state flow of a conducting fluid between two coaxial rotating disks in the presence of an axial magnetic field is considered for the following conditions: (1) the gap d between two disks is very small compared with the radial extension of the disks R; (2) the angular velocity of the disks is not too high, so that the thickness of the Eckman layer δ is still larger than the gap d, (d/δ)1/4≪1; and (3) the magnetic field B is moderate so that the corresponding Hartman number M≪R2/d2. Under these conditions asymptotic solutions to the problem are obtained in terms of the small parameter Ε=d/R. The results show that to the lowest-order approximation, the electric properties of the disks are not important to the flow field, while the magnitude of the magnetic field plays an important role in the equilibrium flow profile.</jats:p> |
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author | Xu, J. J., Woo, J. T. |
author_facet | Xu, J. J., Woo, J. T., Xu, J. J., Woo, J. T. |
author_sort | xu, j. j. |
container_issue | 12 |
container_start_page | 3801 |
container_title | The Physics of Fluids |
container_volume | 30 |
description | <jats:p>The steady-state flow of a conducting fluid between two coaxial rotating disks in the presence of an axial magnetic field is considered for the following conditions: (1) the gap d between two disks is very small compared with the radial extension of the disks R; (2) the angular velocity of the disks is not too high, so that the thickness of the Eckman layer δ is still larger than the gap d, (d/δ)1/4≪1; and (3) the magnetic field B is moderate so that the corresponding Hartman number M≪R2/d2. Under these conditions asymptotic solutions to the problem are obtained in terms of the small parameter Ε=d/R. The results show that to the lowest-order approximation, the electric properties of the disks are not important to the flow field, while the magnitude of the magnetic field plays an important role in the equilibrium flow profile.</jats:p> |
doi_str_mv | 10.1063/1.866417 |
facet_avail | Online |
format | ElectronicArticle |
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format_dezi4 | Article |
format_dezwi2 | Article, E-Article |
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id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjg2NjQxNw |
imprint | AIP Publishing, 1987 |
imprint_str_mv | AIP Publishing, 1987 |
institution | DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3 |
issn | 0031-9171 |
issn_str_mv | 0031-9171 |
language | English |
last_indexed | 2024-03-01T13:44:50.807Z |
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physical | 3801-3808 |
publishDate | 1987 |
publishDateSort | 1987 |
publisher | AIP Publishing |
record_format | ai |
recordtype | ai |
series | The Physics of Fluids |
source_id | 49 |
spelling | Xu, J. J. Woo, J. T. 0031-9171 AIP Publishing General Engineering http://dx.doi.org/10.1063/1.866417 <jats:p>The steady-state flow of a conducting fluid between two coaxial rotating disks in the presence of an axial magnetic field is considered for the following conditions: (1) the gap d between two disks is very small compared with the radial extension of the disks R; (2) the angular velocity of the disks is not too high, so that the thickness of the Eckman layer δ is still larger than the gap d, (d/δ)1/4≪1; and (3) the magnetic field B is moderate so that the corresponding Hartman number M≪R2/d2. Under these conditions asymptotic solutions to the problem are obtained in terms of the small parameter Ε=d/R. The results show that to the lowest-order approximation, the electric properties of the disks are not important to the flow field, while the magnitude of the magnetic field plays an important role in the equilibrium flow profile.</jats:p> Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap The Physics of Fluids |
spellingShingle | Xu, J. J., Woo, J. T., The Physics of Fluids, Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap, General Engineering |
title | Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_full | Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_fullStr | Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_full_unstemmed | Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_short | Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_sort | asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
title_unstemmed | Asymptotic solutions of steady magneto-fluid-dynamic motion between two rotating disks with a small gap |
topic | General Engineering |
url | http://dx.doi.org/10.1063/1.866417 |