### Abstract

Unlike the case of static magnetohydrodynamic (MHD) equilibria, where an expansion in large aspect ratio of toroidal devices is common, cases of MHD equilibria with flow are rarely treated this way, and when this is done the expansion tends to be only partial. The main reason for the difference seems to be the difficulty of expanding the larger system of equilibrium equations with flow. Here, we use a recent expansion technique which employs a variational principle to simplify the process [E. Hameiri, Phys. Plasmas 20, 024504 (2013)]. We treat four cases of MHD equilibria with flow, developing their asymptotic expansions in full, and for an application consider the effect of the flow on the Shafranov shift.

Original language | English (US) |
---|---|

Article number | 092507 |

Journal | Physics of Plasmas |

Volume | 20 |

Issue number | 9 |

DOIs | |

State | Published - Sep 2013 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*20*(9), [092507]. https://doi.org/10.1063/1.4820950

**Plasma flow at a high Mach-number.** / Yu, Bing; Hameiri, Eliezer.

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 20, no. 9, 092507. https://doi.org/10.1063/1.4820950

}

TY - JOUR

T1 - Plasma flow at a high Mach-number

AU - Yu, Bing

AU - Hameiri, Eliezer

PY - 2013/9

Y1 - 2013/9

N2 - Unlike the case of static magnetohydrodynamic (MHD) equilibria, where an expansion in large aspect ratio of toroidal devices is common, cases of MHD equilibria with flow are rarely treated this way, and when this is done the expansion tends to be only partial. The main reason for the difference seems to be the difficulty of expanding the larger system of equilibrium equations with flow. Here, we use a recent expansion technique which employs a variational principle to simplify the process [E. Hameiri, Phys. Plasmas 20, 024504 (2013)]. We treat four cases of MHD equilibria with flow, developing their asymptotic expansions in full, and for an application consider the effect of the flow on the Shafranov shift.

AB - Unlike the case of static magnetohydrodynamic (MHD) equilibria, where an expansion in large aspect ratio of toroidal devices is common, cases of MHD equilibria with flow are rarely treated this way, and when this is done the expansion tends to be only partial. The main reason for the difference seems to be the difficulty of expanding the larger system of equilibrium equations with flow. Here, we use a recent expansion technique which employs a variational principle to simplify the process [E. Hameiri, Phys. Plasmas 20, 024504 (2013)]. We treat four cases of MHD equilibria with flow, developing their asymptotic expansions in full, and for an application consider the effect of the flow on the Shafranov shift.

UR - http://www.scopus.com/inward/record.url?scp=84885044745&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885044745&partnerID=8YFLogxK

U2 - 10.1063/1.4820950

DO - 10.1063/1.4820950

M3 - Article

AN - SCOPUS:84885044745

VL - 20

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 9

M1 - 092507

ER -