1965
DOI: 10.2514/3.3112
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Some effects of finite particle volume on the dynamics of gas-particle mixtures

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Cited by 140 publications
(34 citation statements)
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“…It was also noted [4] that the presence of a gas interlayer between the porous screen and the wall may reduce the amplitude of pressure on the solid wall. The theoretical description of dynamic interaction of shock waves with a solid wall screened by a readily compressible porous material in [4,6] is based on the model of an "effective" gas [7,8], where a twophase medium is considered as a thermodynamically equilibrium homogeneous mixture of gaseous and condensed phases. This simplified model of a two-phase medium was demonstrated [4,6,9,10] to be valid only for the description of the stage of dynamic compression of strongly compressible materials behind shock waves of moderate intensity reflected from the wall.…”
Section: Introductionmentioning
confidence: 99%
“…It was also noted [4] that the presence of a gas interlayer between the porous screen and the wall may reduce the amplitude of pressure on the solid wall. The theoretical description of dynamic interaction of shock waves with a solid wall screened by a readily compressible porous material in [4,6] is based on the model of an "effective" gas [7,8], where a twophase medium is considered as a thermodynamically equilibrium homogeneous mixture of gaseous and condensed phases. This simplified model of a two-phase medium was demonstrated [4,6,9,10] to be valid only for the description of the stage of dynamic compression of strongly compressible materials behind shock waves of moderate intensity reflected from the wall.…”
Section: Introductionmentioning
confidence: 99%
“…In such cases the volume fraction is of order 10 4 and the assumption of negligible volume fraction is well justiÿed. But at the high gas densities (high pressure) and at high particle mass fraction, the volume fraction of the particles, will be su ciently large so that the volume fraction should not have been neglected as suggested by Rudinger [9].…”
Section: Mathematical Formulation Of the Modelmentioning
confidence: 99%
“…This assumption is justified when studying sufficiently large particles (diameter > t0 -2 pm) in relatively small quantities (Rudinger 1965;Levine and Otterman 1975). The different interaction terms in H are modeled as follows: Drag force:…”
Section: ~I the Mathematical Modelmentioning
confidence: 99%