WebNov 16, 2011 · The post-reshock vortex velocity is shown to be proportional to the incident Mach number, M, the initial Atwood number, A, and the incident shock wave speed, W i. ... The translatory velocity of a circular vortex ring. Philos. Mag. 33, 511–512 ... Energy and velocity of a forming vortex ring. Phys. Fluids 12, 618–621 (2000) WebKeywords: Vortex ring, piston, formation, simulation, Introduction Vortex rings, i.e., closed loops of vorticity, represent a unique form of vortices. The aspect of vortex ring dynamics most relevant to propulsion is its formation, when momentum is transferred into the fluid [1]. Generation of vortex rings is believed to beneficial to propulsion.
Fluids Free Full-Text An Approximate Analytical Model of a Jet …
WebOct 28, 2013 · The LCS analysis provides physical insights which form the basis of a revised model of pinch-off, ... “ The significance of vortex ring formation to the impulse and thrust of a starting jet,” Phys. Fluids 15, ... “ Energy and velocity of a forming vortex ring,” Phys. Fluids 12, 618 ... WebNow at last to your energy formulas. The kinetic energy of the fluid inside the cylinder defined by the ring shaped region $\{(r,\,\theta):\;a < r < b\}$ per unit length of vortex line … ios messages on windows 10
Energy and velocity of a forming vortex ring - CaltechAUTHORS
WebThe velocity gradients induce vortices, being rotational movements of the fluid. Vortices may either end at the boundary of the fluid or may form closed loops or vortex rings with a jet of water through the center (Videler et al., 2002). … WebApr 14, 2024 · The supersonic flow of a reactive gas mixture with Mach reflection of oblique shocks and pulsed energy supply at the Mach stem is considered within the framework of the Chapman–Jouguet theory. An approximate analytical model is proposed that quickly determines the shape and size of the shock-wave structure as well as the flow … WebNov 1, 2024 · A detailed review of the asymptotic matching procedures predicting the formation number of vortex rings is presented. The original studies of Mohseni and Gharib [“A model for universal timescale of vortex ring formation,” Phys. Fluids 10(10), 2436–2438 (1998).], Shusser and Gharib [“A new model for inviscid vortex rings,” in 30th AIAA Fluid … onthwy