1999
DOI: 10.1086/307293
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Similarity Criteria for the Laboratory Simulation of Supernova Hydrodynamics

Abstract: The conditions for validity and the limitations of experiments intended to simulate astrophysical hydrodynamics are discussed, with application to some ongoing experiments. For systems adequately described by the Euler equations, similarity criteria required for properly scaled experiments are identiÐed. The conditions for the applicability of the Euler equations are formulated, based on the analysis of localization, heat conduction, viscosity, and radiation. Other considerations involved in such a scaling, in… Show more

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Cited by 417 publications
(376 citation statements)
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“…A fluid description should be appropriate for the plasma, and restrictions on the Reynolds, and Peclet numbers ensure that the energy flow is dominated by heat convection, while dissipative effects such as viscosity, and thermal conductivity are negligible as concluded by Ryutov et al (1999). For the jets to be collisional we require that the ion mean free path be less then the radius of the jets.…”
Section: Estimation Of Dimensionless Scaling Parametersmentioning
confidence: 99%
See 1 more Smart Citation
“…A fluid description should be appropriate for the plasma, and restrictions on the Reynolds, and Peclet numbers ensure that the energy flow is dominated by heat convection, while dissipative effects such as viscosity, and thermal conductivity are negligible as concluded by Ryutov et al (1999). For the jets to be collisional we require that the ion mean free path be less then the radius of the jets.…”
Section: Estimation Of Dimensionless Scaling Parametersmentioning
confidence: 99%
“…Recently, there has been particular interest in laboratory produced supersonic plasma jets because of their potential similarities to astrophysical phenomena as investigated by Ryutov et al (1999) and in further detail by Ryutov et al (2000). To model such objects in the laboratory, Lebedev et al (2002, and Ampleford et al (2008) used conical wire arrays to produce highly collimated, radiative cooled jets.…”
mentioning
confidence: 99%
“…In situ magnetic field measurements are made in the turbulent wake of the shock. Using hydrodynamic scaling relations 17,18 , our experimental conditions at 0.3 µs after the laser illumination can be scaled to Cassiopeia A signal to noise (SNR) with a probable age t SNR of approximately 310 years, an expansion velocity v SNR of about 4,700 km s −1 and a deceleration parameter v SNR t SNR /R SNR , where R SNR is the shock radius, of about 0.6 (ref . 2; see Supplementary Information for the description of the scaling relations, and Supplementary Table 1).…”
mentioning
confidence: 99%
“…Whether the experiment is well scaled with regard to this physical mechanism is not clear. It may not be, because the compression produced by radiative collapse is much larger in astrophysical systems than in laboratory ones [Ryutov et al, 1998]. …”
Section: Thus the Experiments Confirmed The Central Results Of The Theorymentioning
confidence: 99%