The effect of sheared axial flow on the linear stability of the Z-pinch

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871882· OSTI ID:278488

Arber, T D; Howell, D F ^[1]

---

1. Department of Physics, Imperial College, London SW7 2BZ (England)

A linear analysis of the ideal magnetohydrodynamic (MHD) stability of the Z-pinch is presented in which plasma flows are included in the equilibrium. With sheared axial flows it is found that substantial stabilization of internal modes is possible for some equilibrium profiles. For this to occur equilibria with a change in fluid velocity across the pinch radius of about Mach 2 are required. However, this ignores the surrounding vacuum and for the more realistic free boundary modes flows of about Mach 4 are required to stabilize all global MHD modes. This stabilization of MHD modes is not observed for all equilibria however. This fact, combined with the supersonic flow speeds required for stability, make it unlikely that a Z-pinch could in practice be stabilized by the introduction of sheared flow. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 278488
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 3; ISSN 1070-664X; ISSN PHPAEN
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOUNDARY CONDITIONS
INSTABILITY GROWTH RATES
LINEAR Z PINCH DEVICES
MHD EQUILIBRIUM
NORMAL-MODE ANALYSIS
PLASMA FLOW
SHEAR FLOW