2021
DOI: 10.3390/molecules26040821
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Prandtl Number in Classical Hard-Sphere and One-Component Plasma Fluids

Abstract: The Prandtl number is evaluated for the three-dimensional hard-sphere and one-component plasma fluids, from the dilute weakly coupled regime up to a dense strongly coupled regime near the fluid-solid phase transition. In both cases, numerical values of order unity are obtained. The Prandtl number increases on approaching the freezing point, where it reaches a quasi-universal value for simple dielectric fluids of about ≃1.7. Relations to two-dimensional fluids are briefly discussed.

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Cited by 7 publications
(2 citation statements)
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“…There are known methods of measuring the thermal resistance of the Rthj-c junction case [26]. Additionally, applications of the Cauer [27] and Foster [28] methods are known for modeling the heat flow path on the junctioncase route. Fourier transform was also used to simplify the equations [29].…”
Section: Introductionmentioning
confidence: 99%
“…There are known methods of measuring the thermal resistance of the Rthj-c junction case [26]. Additionally, applications of the Cauer [27] and Foster [28] methods are known for modeling the heat flow path on the junctioncase route. Fourier transform was also used to simplify the equations [29].…”
Section: Introductionmentioning
confidence: 99%
“…The specific heat of Ar and Xe was assumed to be 523 J/kg K and 158 J/kg K respectively. A Prandtl number of 1 was assumed: this has been shown to be an appropriate order of magnitude for single-species plasma [162] and a value of 1 has previously been used when modelling an argon plasma torch [163]. A temperature and gas species independent viscosity of µ=10 −4 was used throughout these results.…”
Section: Propellant Gas Injectionmentioning
confidence: 99%