论文标题
二进制颗粒状悬浮液的恩科格动力学理论：均匀稳态的热通量和稳定性分析
Enskog kinetic theory of binary granular suspensions: heat flux and stability analysis of the homogeneous steady state
论文作者
论文摘要
以前采用的多组分颗粒悬浮液的恩科格动力学理论[GómezGonzález，Khalil和Garzó，Phys。 e \ e \ textbf {101}，012904（2020）]被考虑进一步确定与热通量相关的四个传输系数。这些传输系数是通过通过在同质状态的本地版本的Chapman-enskog方法的应用来求解enskog方程来获得的。通过考虑所谓的第二个词素近似与每个物种的分布函数，在稳态条件下提供了显式形式的热通量传输系数。 Their quantitative variation on the control parameters of the mixture (masses and diameters, coefficients of restitution, concentration, volume fraction, and the background temperature) is demonstrated and the results show that in general the dependence of the heat flux transport coefficients on inelasticity is clearly different from that found in the absence of the gas phase (\emph{dry} granular mixtures).作为一般结果的应用，通过求解线性化的NAVIER（Stokes stokes水力动力学方程）来分析均匀稳态的稳定性。线性稳定性分析（与平均自由式路径相比，波长长）表明，相对于长期的波长激发，横向和纵向模式始终是稳定的。该结论与以前的单体成分和（稀释）少量颗粒悬浮液得出的结果一致，但与以前在干燥（无气相）颗粒状混合物中的作品中发现的不稳定性对比。
The Enskog kinetic theory of multicomponent granular suspensions employed previously [Gómez González, Khalil, and Garzó, Phys. Rev. E \textbf{101}, 012904 (2020)] is considered further to determine the four transport coefficients associated with the heat flux. These transport coefficients are obtained by solving the Enskog equation by means of the application of the Chapman--Enskog method around the local version of the homogeneous state. Explicit forms of the heat flux transport coefficients are provided in steady-state conditions by considering the so-called second Sonine approximation to the distribution function of each species. Their quantitative variation on the control parameters of the mixture (masses and diameters, coefficients of restitution, concentration, volume fraction, and the background temperature) is demonstrated and the results show that in general the dependence of the heat flux transport coefficients on inelasticity is clearly different from that found in the absence of the gas phase (\emph{dry} granular mixtures). As an application of the general results, the stability of the homogeneous steady state is analyzed by solving the linearized Navier--Stokes hydrodynamic equations. The linear stability analysis (which holds for wavelengths long compared with the mean free path) shows that the transversal and longitudinal modes are always stable with respect to long-enough wavelength excitations. This conclusion agrees with previous results derived for monocomponent and (dilute) bidisperse granular suspensions but contrasts with the instabilities found in previous works in dry (no gas phase) granular mixtures.
