Abstract
The present paper describes a numerical two-way coupling model for shock-induced laminar boundary-layer flows of a dust-laden gas and studies the transverse migration of fine particles under the action of Saffman lift force. The governing equations are formulated in the dilute two-phase continuum framework with consideration of the finiteness of the particle Reynolds and Knudsen numbers. The full Lagrangian method is explored for calculating the dispersed-phase flow fields (including the number density of particles) in the regions of intersecting particle trajectories. The computation results show a significant reaction of the particles on the two-phase boundary-layer structure when the mass loading ratio of particles takes finite values.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Zhang, F., Gronig, H., van de Ven, A.: DDT and detonation waves in dust-air mixtures. Shock Waves, 11, 53–71 (2001)
Bielert, U., Sichel, M.: Numerical simulation of dust explosions in pneumatic conveyors. Shock Waves 9, 125–139 (1999)
Gerrard, J.H.: An experimental investigation of the initial stages of the dispersion of dust by shock waves. Brit. J. Appl. Phys. 14, 186–192 (1963)
Borisov, A.A.: Instability of a loose material surface when the shock and detonation waves are sliding on it, Fizika Goreniya I Vzryya 3, 149–151 (1967)
Merzkirch, W., Bracht, K.: Erosion of dust by shock wave in air: initial stages with laminar flow. Int. J. Multiphase Flow 4, 89–95 (1978)
Hwang, C.C.: Initial stages of the interaction of a shock wave with a dust deposit. Int. J. Multiphase Flow 12, 655–666 (1986)
Boiko, V.M., Napyrin, A.N.: Dynamics of formation of a dust suspension behind a shock wave sliding over a surface of loose material. Fizika Goreniya I. Vzryva, 23, 122–126 (1987)
Wu, Q., Wang, B.Y.: Numerical analysis of dust particle entrainment induced by shock waves. In: Zhang G.R. (ed.), Proceedings 2nd international symposium on intense dynamic loading and its effects, 1992, pp 167–170
Thevand, N., Daniel, E.: Numerical study of the lift force influence on two-phase shock tube boundary layer characteristics. Shock Waves 11, 279–288 (2002)
Osiptsov, A.N.: Modified Lagrangian method for calculating the particle concentration in dusty-gas flows with intersecting particle trajectories. In: Proceedings 3rd International Conference on Mulyiphase Flow, ICMF'98, Lyon, France, 1998, Paper 236
Wang, B.Y., Osiptsov, A.N.: Near-wall boundary layer behind a shock wave in a dusty gas. Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 4, 61–73 (1999); Engl. Transl.: Fluid Dynamics 4, 505–515 (1999)
Wang, B.Y., Xiong, Y., Osiptsov, A.N.: Shock-induced dust cloud over a deposit layer of fine particles. In: Jiang Z. (ed.), Proceedings 24th International Symposium on Shock Waves, 2004, pp 1091–1096
Wang, B.Y., Xiong, Y., Chen, Q., Osiptsov, A.N.: Dust-cloud structures behind a shock wave moving over a deposited layer of fine particles. Prog. Nat. Sci. 15, 32–41 (2005)
Marble, F.E.: Dynamics of dusty gases. Annu. Rev. Fluid Mech. 2, 397–446 (1970)
Carlson, D.J., Hoglund, R.F.: Particle drag and heat transfer in rocket nozzles. AIAA J. 2, 1980–1984 (1964)
Fush, N.A.: Mechanics of aerosols. New York: MacMillan, 1964
Saffman, P.G.: The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 384–400 (1965); and Corrigendum. J. Fluid Mech. 31, 624 (196–8)
Mei, R.: An approximate expression for the shear lift force on a spherical particle at finite Reynolds number. Int. J. Multiphase Flow 18, 145–147 (1992)
Rudinger, G.: Fundamentals of gas-particle flow. Amsterdam: Elservier, 1980
Healy, D.P., Young, J.B.: Calculation of inertial particle transport using the Osiptsov Lagrangian method. In: ICMF2001, New Orleans, 2001, CD: 1–12
Schlichting H.: Boundary Layer Theory, 7th edition. New York: McGraw-Hill, 1979
Author information
Authors and Affiliations
Corresponding author
Additional information
The project supported by the National Natural Science Foundation of China (90205024) and Russian Foundation for Basic Research (RFBR and (RFBR-NSFC-39004)
The English text was polished by Yunming Chen
Rights and permissions
About this article
Cite this article
Wang, B., Xiong, Y. & Osiptsov, A. Two-way coupling model for shock-induced laminar boundary-layer flows of a dusty gas. ACTA MECH SINICA 21, 557–563 (2005). https://doi.org/10.1007/s10409-005-0068-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-005-0068-0