Pressure-driven Instabilities in Cylindrical Geometry: A New General Criterion
P. -Y. Longaretti
Abstract
A new criterion for pressure-driven interchange instabilities in cylindrical geometry is derived, based on an alternate use of the Energy Principle. This criterion is inequivalent to Suydam's criterion and does not contain the magnetic shear. In fact, it is shown that Suydam's criterion relates to the instability of the slow magnetosonic branch, while the present criterion relates to the Alfvénic one, which is the most dangerous of the two. These findings explain why pressure-driven modes nearly always exist even if Suydam's criterion is satisfied by a large margin.
Create a lesson
Related papers
Interaction of Sustained Vortex Shedding with a Phononic Subsurface: Effect of Positioning and Resonant Characteristics
Sangwon Park, Vinod Ramakrishnan, Arturo Machado Burgos et al.
Ambient-pressure effects on shock emission and liquid-shell expansion following optical breakdown inside water droplets
M. Brugge, S. van Belois, S. S. Ade et al.
Hurricane Laura-induced loads on wind turbines -- Part I: High-fidelity modeling and sensitivity to turbulent inflow conditions
Miguel Sanchez-Gomez, Lucas Carmo, Matthew Churchfield et al.
Effect of leading edge geometry on aerodynamic performance of a flat plate
Intesaaf Ashraf, Hamid Hassan Khan, Majid Hassan Khan
Pumping by Two-frequency Steady Streaming: Impact of Amplitude Ratio and Phase
Hyun S. Lee, Becca Thomases, William D. Ristenpart et al.
Reynolds-number-dependent entrance bias in temperature polarization of lab-scale membrane distillation
Soyoung Kim, Tiezheng Tong, Yinuo Noah Yao