author_facet Xu, J. J.
Woo, J. T.
Xu, J. J.
Woo, J. T.
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
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series 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>
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id ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjg2NjQxNw
imprint AIP Publishing, 1987
imprint_str_mv AIP Publishing, 1987
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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