Abstract
We investigated in this paper the progression of a shock-wave reflected from a compression corner in a particle-laden gas medium using a TVD class numerical technique and a MacCormack scheme. For a gas-only flow, the numerical results agreed well with the existing experimental data, suggesting that the gas phase is correctively solved. The effect of particle size and mass fraction ratio is investigated for a dilute gas-particle flow. It has been shown that the shock-wave diffraction and the flow configuration after the shock can become remarkably different from the gas-only flow depending on the particle parameters. Relaxation phenomenon due to the momentum drag and the heat exchange between the gas and the particle phases is explained.
Similar content being viewed by others
References
Ben-Dor G, Glass I I (1978) Nonstationary oblique shock-wave reflections: actual isopycnics and numerical experiments. AIAA J 16:1146
Ben-Dor G, Glass I I (1979) Domains and boundaries of non- stationary oblique shock-wave reflections 1. Diatomic gas. J Fluid Mech 92:459
Ben-Dor G, Mond M, Igra O, Martsiano Y (1988) A nondimensional analysis of dusty shock waves in steady flows. Korean Soc Mech Eng J 2:28
Carrier GF (1958) Shock waves in a dusty gas. J Fluid Mech 4:376
Chang IS (1980) One- and two-phase nozzle flows. AIAA J 18:1455
Clift R, Grace JR., Weber ME (1978) Bubbles, drops and particles. Academic Press, New York
Crowe CT (1982) Review-numerical models for dilute gas-particle flows. ASME J Fluids Eng 104:297
Deschambault R, Glass I I (1983) An update on non-stationary oblique shock-wave reflection: actual isopycnics arid numerical experiments. J Fluid Mech 131:27
Drake RM (1961) Discussion on Vliet GC and Leppert G forced convection heal, transfer from an isothermal sphere to water. ASME J. Heat Transfer 83:170
Harten A (1983) High resolution schemes for hyperbolic conservation laws. J Comp Phys 49:357
Henderson LF, Lozzi A (1975) Experiments on transition of Mach reflection. J Fluid Mech 68:139
Hornung H, Oertel H, Sandeman RJ (1979) Transition to Mach reflection of shock waves in steady and pseudosteady flow with and without relaxation. J Fluid Mech 90:541
Kriebel AR (1964) Analysis of normal shock waves in particle laden gas. ASME J Basic Eng 86:655
MacCormack RW (1969) The effect of viscosity in hyperbolic impact cratering. AIAA Paper 69-354
Marconi F, Rudman S, Calia V (1981) Numerical study of onedimensional unsteady particle-laden flows with shocks. AIAA J 19:1294
Martsiano Y, Ben-Dor G, Igra O (1988) Oblique shock in dusty gas suspensions. Korean Soc Mech Eng J 2:28
Outa E, Tajima K, Morii H (1978) Experiments and analyses on shock waves propagating through a gas particle mixture. Jpn Soc Mech Eng J 19:384
Roe PL (1981) Approximate Riemann solvers, parameter vectors, and difference schemes. J Comp Phys 38:339
Rudinger G (1969) Relaxation in gas particle flow. In: Wegener PP (ed) Nonequilibrium flows. Vol 1 Marcel Deckker, New York, pp 119
Schneyer GP (1975) Numerical simulation of regular and Mach reflections. Phys Fluids 18:1119
Shankar VS, Kutler P, Anderson DA (1977) Diffraction of a shock waves by a compression corner, part 2 — single Mach reflection. AIAA Paper 77-89
Suzuki T, Adachi T (1985) The reflection of a shock wave over a wedge with dusty surface. JSASS J 28:132
Yang JY, Lombard CK, Bershader D (1987) Numerical simulation of transient inviscid shock tube flows. AIAA J 25:245
Yee HC (1987) Upwind and symmetric shock-capturing schemes. NASA TM-89464
Woodward P, Colella P (1984) The numerical simulation of two-dimensional fluid flow with strong shocks. J Comp Phys 54:115
Author information
Authors and Affiliations
Additional information
Graduate Student of Korea Advanced Institute of Science and Technology
This article was processed using Springer-Verlag TEX Shock Waves macro package 1990.
Rights and permissions
About this article
Cite this article
Kim, SW., Chang, KS. Reflection of shock wave from a compression corner in a particle-laden gas region. Shock Waves 1, 65–73 (1991). https://doi.org/10.1007/BF01414869
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01414869