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- W3209789688 abstract "The transport coefficients of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the number density of the granular gas is much smaller than that of the surrounding molecular gas, so that the latter is not affected by the presence of solid particles. In this situation, the molecular gas may be treated as a thermostat (or bath) of elastic hard spheres at a fixed temperature. This system (granular gas thermostated by a bath of elastic hard spheres) can be considered as a reliable model for describing the dynamic properties of particle-laden suspensions. The Boltzmann kinetic equation is the starting point of the present work. First step is to characterise the reference state in the perturbation scheme, namely the homogeneous state. Theoretical results for the granular temperature and kurtosis obtained in the homogeneous steady state are compared against Monte Carlo simulations showing a good agreement. Then, the Chapman-Enskog method is employed to solve the Boltzmann equation to first order in spatial gradients. As expected, the Navier-Stokes-Fourier transport coefficients of the granular gas are given in terms of the solutions of a coupled set of linear integral equations which are approximately solved by considering the leading terms in a Sonine polynomial expansion. Our results show that the dependence of the transport coefficients on the coefficient of restitution is quite different from that found when the influence of the interstitial molecular gas is neglected (dry granular gas). When the granular particles are much more heavier than the gas particles (Brownian limit) the expressions of the transport coefficients are consistent with those previously derived from the Fokker-Planck equation. Finally, a linear stability analysis of the homogeneous steady state is performed showing this state is always linearly stable." @default.
- W3209789688 created "2021-11-08" @default.
- W3209789688 creator A5044564071 @default.
- W3209789688 creator A5053583613 @default.
- W3209789688 date "2022-06-06" @default.
- W3209789688 modified "2023-09-25" @default.
- W3209789688 title "Kinetic theory of granular particles immersed in a molecular gas" @default.
- W3209789688 cites W1539863444 @default.
- W3209789688 cites W1621225460 @default.
- W3209789688 cites W1828061925 @default.
- W3209789688 cites W1969432029 @default.
- W3209789688 cites W1976956289 @default.
- W3209789688 cites W1979821125 @default.
- W3209789688 cites W1980031837 @default.
- W3209789688 cites W1985860315 @default.
- W3209789688 cites W1986107062 @default.
- W3209789688 cites W1987720485 @default.
- W3209789688 cites W1988855740 @default.
- W3209789688 cites W1989209198 @default.
- W3209789688 cites W1989907474 @default.
- W3209789688 cites W1990721948 @default.
- W3209789688 cites W1993421358 @default.
- W3209789688 cites W1997916831 @default.
- W3209789688 cites W1998707733 @default.
- W3209789688 cites W2002154028 @default.
- W3209789688 cites W2006682328 @default.
- W3209789688 cites W2008332597 @default.
- W3209789688 cites W2011878176 @default.
- W3209789688 cites W2013196680 @default.
- W3209789688 cites W2023915892 @default.
- W3209789688 cites W2032273094 @default.
- W3209789688 cites W2049970425 @default.
- W3209789688 cites W2051620823 @default.
- W3209789688 cites W2060067071 @default.
- W3209789688 cites W2061569586 @default.
- W3209789688 cites W2063748012 @default.
- W3209789688 cites W2064185700 @default.
- W3209789688 cites W2075572905 @default.
- W3209789688 cites W2077732932 @default.
- W3209789688 cites W2081630075 @default.
- W3209789688 cites W2085729243 @default.
- W3209789688 cites W2086170036 @default.
- W3209789688 cites W2096848392 @default.
- W3209789688 cites W2107714592 @default.
- W3209789688 cites W2112824102 @default.
- W3209789688 cites W2115642269 @default.
- W3209789688 cites W2115758862 @default.
- W3209789688 cites W2115773818 @default.
- W3209789688 cites W2119190692 @default.
- W3209789688 cites W2131978556 @default.
- W3209789688 cites W2135711600 @default.
- W3209789688 cites W2155731760 @default.
- W3209789688 cites W2156650254 @default.
- W3209789688 cites W2162276283 @default.
- W3209789688 cites W2164226783 @default.
- W3209789688 cites W2169631725 @default.
- W3209789688 cites W2169790480 @default.
- W3209789688 cites W2272125185 @default.
- W3209789688 cites W2345534974 @default.
- W3209789688 cites W2415758698 @default.
- W3209789688 cites W2594446548 @default.
- W3209789688 cites W2598436325 @default.
- W3209789688 cites W2676028201 @default.
- W3209789688 cites W2741013351 @default.
- W3209789688 cites W2772749319 @default.
- W3209789688 cites W2945234254 @default.
- W3209789688 cites W2956451773 @default.
- W3209789688 cites W2967305126 @default.
- W3209789688 cites W2977397687 @default.
- W3209789688 cites W2983253721 @default.
- W3209789688 cites W2999698085 @default.
- W3209789688 cites W3002013750 @default.
- W3209789688 cites W3024861123 @default.
- W3209789688 cites W3091020668 @default.
- W3209789688 cites W3098701207 @default.
- W3209789688 cites W3099228311 @default.
- W3209789688 cites W3101084424 @default.
- W3209789688 cites W3102314028 @default.
- W3209789688 cites W3102564631 @default.
- W3209789688 cites W3103886618 @default.
- W3209789688 cites W3104449933 @default.
- W3209789688 cites W3105588646 @default.
- W3209789688 cites W3106203227 @default.
- W3209789688 cites W3107634555 @default.
- W3209789688 cites W3112962706 @default.
- W3209789688 cites W3126717780 @default.
- W3209789688 cites W3199375308 @default.
- W3209789688 cites W3201126612 @default.
- W3209789688 cites W4297958163 @default.
- W3209789688 cites W69379311 @default.
- W3209789688 doi "https://doi.org/10.1017/jfm.2022.410" @default.
- W3209789688 hasPublicationYear "2022" @default.
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