通过对流捕获粉尘颗粒
Capture of particles of dust by convective flow
摘要：
尘埃粒子与涡旋对流的相互作用是在理论上考虑的。假设固相体积分数很小，由于颗粒分布不均匀引起的密度变化与介质温度非等温性引起的密度变化相当。在广义Boussinesq近似的框架下，考虑到颗粒沉降的有限速度，发展了用于描述尘埃介质的热浮力对流的方程。本文研究了涡旋对流对尘埃粒子云的捕获，得到了涡旋对流形成尘埃粒子云的一般判据。详细研究了从侧壁加热的垂直层的尘埃云和向后的固相对载流的影响的形式的稳定状态的特性。结果表明，在这种情况下，当这种向后的影响是必不可少的，滞后行为是可能的。进行了稳态稳定性分析。事实证明，存在一个狭窄的范围内的管理参数，在这种稳定状态是稳定的。
英文摘要：
Interaction of particles of dust with vortex convective flows is under theoretical consideration. It is assumed that the volume fraction of solid phase is small, variations of density due to nonuniform distribution of particles and those caused by temperature nonisothermality of medium are comparable. Equations for the description of thermal buoyancy convection of a dusty medium are developed in the framework of the generalized Boussinesq approximation taking into account finite velocity of particle sedimentation. The capture of a cloud of dust particles by a vortex convective flow is considered, general criterion for the formation of such a cloud is obtained. The peculiarities of a steady state in the form of a dust cloud and backward influence of the solid phase on the carrier flow are studied in detail for a vertical layer heated from the sidewalls. It is shown that in the case, when this backward influence is essential, a hysteresis behavior is possible. The stability analysis of the steady state is performed. It turns out that there is a narrow range of governing parameters, in which such a steady state is stable.
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