Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas
The kinetic equation governing a strongly magnetized transverse plasma flow past a convex ion-collecting object is solved numerically for arbitrary ion to electron temperature ratio τ. The approximation of isothermal ions adopted in a recent fluid treatment of the same plasma model [I. H. Hutchinson...
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Language: | en_US |
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American Physical Society
2010
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Online Access: | http://hdl.handle.net/1721.1/51373 |
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author | Patacchini, Leonardo Hutchinson, Ian Horner |
author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Patacchini, Leonardo Hutchinson, Ian Horner |
author_sort | Patacchini, Leonardo |
collection | MIT |
description | The kinetic equation governing a strongly magnetized transverse plasma flow past a convex ion-collecting object is solved numerically for arbitrary ion to electron temperature ratio τ. The approximation of isothermal ions adopted in a recent fluid treatment of the same plasma model [I. H. Hutchinson, Phys. Rev. Lett. 101, 035004 (2008)] is shown to have no more than a small quantitative effect on the solution. In particular, the ion flux density to an elementary portion of the object still only depends on the local surface orientation. We rigorously show that the solution can be condensed in a single “calibration factor” Mc, function of τ only, enabling Mach probe measurements of parallel and perpendicular flows by probing flux ratios at two different angles in the plane of flow and magnetic field. |
first_indexed | 2024-09-23T15:00:18Z |
format | Article |
id | mit-1721.1/51373 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T15:00:18Z |
publishDate | 2010 |
publisher | American Physical Society |
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spelling | mit-1721.1/513732023-02-26T02:15:01Z Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas Patacchini, Leonardo Hutchinson, Ian Horner Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Massachusetts Institute of Technology. Plasma Science and Fusion Center Hutchinson, Ian H. Patacchini, Leonardo Hutchinson, Ian H. The kinetic equation governing a strongly magnetized transverse plasma flow past a convex ion-collecting object is solved numerically for arbitrary ion to electron temperature ratio τ. The approximation of isothermal ions adopted in a recent fluid treatment of the same plasma model [I. H. Hutchinson, Phys. Rev. Lett. 101, 035004 (2008)] is shown to have no more than a small quantitative effect on the solution. In particular, the ion flux density to an elementary portion of the object still only depends on the local surface orientation. We rigorously show that the solution can be condensed in a single “calibration factor” Mc, function of τ only, enabling Mach probe measurements of parallel and perpendicular flows by probing flux ratios at two different angles in the plane of flow and magnetic field. National Science Foundation / Department of Energy 2010-02-05T16:02:41Z 2010-02-05T16:02:41Z 2009-09 2009-06 Article http://purl.org/eprint/type/JournalArticle 1550-2376 1539-3755 http://hdl.handle.net/1721.1/51373 Patacchini, Leonardo , and Ian H. Hutchinson. “Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas.” Physical Review E 80.3 (2009): 036403. (C) 2010 The American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevE.80.036403 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
spellingShingle | Patacchini, Leonardo Hutchinson, Ian Horner Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas |
title | Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas |
title_full | Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas |
title_fullStr | Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas |
title_full_unstemmed | Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas |
title_short | Kinetic solution to the Mach probe problem in transversely flowing strongly magnetized plasmas |
title_sort | kinetic solution to the mach probe problem in transversely flowing strongly magnetized plasmas |
url | http://hdl.handle.net/1721.1/51373 |
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