A VORTEX MHD POWER GENERATOR11Presented at ARS Space Power Systems Conference, Santa Monica, California, September 27–30, 1960.

Coerdt, R.J.; Davis, William C.; Craig, Richard; McCune, J. E.

doi:10.1016/b978-0-12-395560-9.50047-1

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“…Surprisingly the effect of compressibility on vortex dynamics was paid very little attention for quite a long time and was not stressed until the work of McCune et al [1]. Recently there has been a surge of literature in the area of compressible vortices and their dynamics [2][3][4][5][6][7] in which it has been shown that compressible vortices affect the nonlinear coupling between the modes and thus lead to several novel features which are absent in the incompressible flow.…”

Section: Introductionmentioning

confidence: 99%

Compressibility effects on quasistationary vortex and transient hole patterns through vortex merger

Mukherjee¹,

Gupta²,

Ganesh³

2019

Phys. Scr.

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The effect of compressibility in hydrodynamic vortex merging has been discussed. In the past, in incompressible limit it has been observed that the merging of a collection of intense point-like vortices arranged uniformly outside a circular vortex, can lead to quasistationary vortex patch and transient hole pattern inside the patch via nonlinear merger process. These patterns are akin to 'vortex crystals'. Compressibility can introduce a natural acoustic scale to the problem. We find that the natural mode is independent of the number of point-like vortices and the amplitude scales linearly with compressibility. Further it has been identified that after merging, the system exhibits oscillation at a natural frequency together with its harmonics and beats with its own harmonics. The power of the frequency is found to scale as M −2 , where M is the Mach number. Also the vortex crystals formed out of the merging process are found to melt faster as compressibility is increased.arXiv:1802.03240v1 [physics.flu-dyn]

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Section: Introductionmentioning

confidence: 99%