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Rarefaction

About: Rarefaction is a research topic. Over the lifetime, 1852 publications have been published within this topic receiving 26943 citations.


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Journal ArticleDOI
TL;DR: In this paper, an analytical expression for the profile of non-linear stable drift waves in a collisionless anisothermal plasma, and also for the relationship of the wave velocity to the wave amplitude was found.
Abstract: Analytic expressions have been found for the profile of non-linear stable drift waves in a collisionless anisothermal plasma, and also for the relationship of the wave velocity to the wave amplitude. It is shown that the nature of the nonlinear waves (compression or rarefaction) depends substantially on the type of electron distribution function. The wave amplitude is assumed to be small, but finite. For the distribution function closest to the Maxwellian, the nature of the wave is determined by the parameter ? = d ln T/d ln n.

5 citations

Journal ArticleDOI
TL;DR: Linan et al. as discussed by the authors presented an analysis of the direct initiation of gaseous detonations in a spherical geometry and analyzed the full set of constitutive equations by an asymptotic analysis in the double limit of Mach number close to unity (small heat release) and large thermal sensitivity.
Abstract: An analysis of the direct initiation of gaseous detonations in a spherical geometry is presented The full set of constitutive equations is analysed by an asymptotic analysis in the double limit of Mach number close to unity (small heat release) and large thermal sensitivity The quasi-steady curvature-induced quenching phenomenon is first revisited in this limit Considering a realistic decrease rate of the rarefaction wave, the unsteady problem is reduced to a single nonlinear hyperbolic equation The time-dependent velocity of the lead shock is an eigenfunction of the problem when two boundary conditions are imposed to the flow at the lead shock and at the burnt gas side Following (Linan et al, C R Mec, vol 340, 2012, pp 829–844), the boundary condition in the quasi-transonic flow of burnt gas is expressed in terms of the curvature Focusing our attention on successful initiation, the time-dependent velocity of the lead shock of a detonation approaching the Chapman–Jouguet regime is the solution of a nonlinear integral equation investigated for stable and marginally unstable detonations By comparison with the quasi-steady trajectories in the phase space ‘propagation velocity versus radius’, the solution exhibits the unsteady effect produced upon the detonation decay by the long time delay of the upstream-running mode for transferring the rarefaction-wave-induced deceleration across the inner detonation structure from the burnt gas to the lead shock In addition, a new and intriguing phenomenon concerning pulsating detonations is described Even if the results are not quantitatively accurate, they are qualitatively relevant for real detonations

5 citations

Posted Content
TL;DR: It is shown that the rarefaction wave solutions of the one-dimensional (1-D) Riemann problem are stable, in particular unique, in the class of all bounded weak solutions to the associated multidimensional problem.
Abstract: We consider the complete Euler system describing the time evolution of an inviscid non-isothermal gas. We show that the rarefaction wave solutions of the 1D Riemann problem are stable, in particular unique, in the class of all bounded weak solutions to the associated multi-D problem. This may be seen as a counterpart of the non-uniqueness results of physically admissible solutions emanating from 1D shock waves constructed recently by the method of convex integration.

5 citations

01 Jul 1958
TL;DR: In this paper, the authors presented data on the shock wave compression of water in the compression range from 20,000 to 800,000 atrn, where atrn is the number of shocks generated by a single wave.
Abstract: Data are presented on the shock wave compression of water in the compression range from 20,000 to 800,000 atrn. (R.V.J.)

5 citations

Journal ArticleDOI
TL;DR: In this article, the authors proved that the global solution of the full compressible fluid models of Korteweg type with centered rarefaction wave data of large strength exists globally in time.
Abstract: We prove the solution of the full compressible fluid models of Korteweg type with centered rarefaction wave data of large strength exists globally in time. As the viscosity, heat-conductivity and capillary coefficients tend to zero, the global solution converges to the centered rarefaction wave solution of the corresponding Euler equations uniformly when the initial perturbation is small. Our analysis is based on the energy method.

5 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20224
2021105
202064
201964
201864
201773