稀相气固悬浮体越过沿平面匀速运动激波后的流动结构*
The Flow Structure of Dilute Gas-Particle Suspensions behind a Shock Wave Moving along a Flat Surface
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摘要: 本文给出气固悬浮体中激波感生边界层的渐近数值分析,其中计及了作用于固体粒子的Saf-fman升力.研究结果表明粒子横越边界层的迁移导致了粒子轨道的交叉,因此对目前通用的含灰气体模型应做相应的修正.本文利用匹配渐近展开方法得到了匀速运动激波后方的两相侧壁边界层方程,详细描述了在Lagrange坐标下计算颗粒相流动参数的方法,并给出了粒子浓度很低情况下的数值结果.Abstract: The asymptotic and numerical investigations of shock-induced boundary layers in gas-particle mixtures are presented. The Saffman lift force acting on a particle in a shear flow is taken into account. It is shown that particle migration across the boundary layer leads to intersections of particle trajectories. The corresponding modification of dusty gas model is proposed in this paper.The equations of two-phase sidewall boundary layer behind a shock wave moving at a constant speed are obtained by using the method of matched asymptotic expansions. The method of the calculation of particle phase parameters in Lagrangian coordinates is described in detail. Some numerical results for the case of small particle concentration are given.
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Key words:
- gas-particle suspension /
- shock-induced flow /
- two-phase boundary layer
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[1] Cole,J.D.,Perturbation Methods in Applied Mathematics,Blaisdell,Waltham,Mass(1968). [2] Saffman,P.G.,The lift on a small sphere in a slow shear flow,J.Fluid Mech.,22(1965), 385-400.Corrigendum,J.Fluid Mech.,31(1968),624. [3] Marble,F.E.,Dynamics of dusty gases,Ann.Rev.Fluid Mech.,2(1970),397-446. [4] Волощдк В.М.,Вбебенце б Ааробцнамцку Грубобцслерсных Аарозолец,Л.,Гидрометеоиздат(1971) [5] Нигматулии Р.И.,Оснобы Механцкц Геmероенных Среб,М.,Наука(1968) [6] Schlichting,H.,Boundary Layer Theory,McGraw-Hall,New York(1968). -
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