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Flow through a perforated surface due to shock-wave impact

Published online by Cambridge University Press:  26 April 2006

B. W. Skews  and
K. Takayama
B. W. Skews
Affiliation:
School of Mechanical Engineering, University of the Witwatersrand, Johannesburg, South Africa
K. Takayama
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai, Japan
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Abstract

The factor which is of prime importance in influencing the shock reflection geometry, and resulting pressures, following impingement of a shock wave on a porous surface is the velocity of the flow into the surface. A set of experiments has been conducted, using holographic inferometry in a shock tube, on the impingement of a shock wave on a surface covered with slits, over the full range of shock incidence angles from 0 to 90°. Inverse shock pressure ratios of 0.4, 0.5 and 0.7 were used, and detailed characterization of the flow fields determined. A number of methods are used to infer the inflow into the surface, and measurements are also conducted on the downstream side of the slit plate in order to establish the pressure ratio across the plate. The tests include choking of the flow through the slits. Shock reflection angles are found to be depressed compared to reflection from an impervious wall for cases of regular reflection, but are similar in the case of Mach reflection with the incident wave near glancing incidence. Contrary to assumptions made in previous work it is shown that for wall angles from zero up to approximately 60° the inflow to the plate is inclined to the surface at about 17° and then tends to straighten out until, for normal shock reflection, the flow is also normal to the plate. It appears that this behaviour is linked to the separation of the flow at the inlet to the pores of the model, due to shock wave diffraction. The maximum value of the absolute inflow velocity occurs in the region of transition from regular to Mach reflection. A series of starting vortices is shed on the underside of the slit and is found to follow a path nearly normal to the plate. These vortices lie along a contact surface whose motion is compatible with the strength of the shock wave transmitted through the plate.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 314 , 10 May 1996 , pp. 27 - 52
Copyright
© 1996 Cambridge University Press

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References

Adachi, T., Kobayashi, S. & Suzuki, T. 1992 An experimental analysis of oblique shock reflection over a two-dimensional multi-guttered wedge. Fluid Dyn. Res. 9, 119–132.Google Scholar
Baer, M. R. 1995 A multiphase model for shock-induced flow in low-density foam. In Shock Waves@Marseille III, Proc. 19th Intl Symp. on Shock Waves (ed. R. Brun & L. Z. Dumitrescu), pp. 169–174. Springer.
Beavers, G. S. & Matta, R. K. 1972 Reflection of weak shock waves from permeable materials. AIAA J. 10, 959–961.Google Scholar
Ben-Dor, G., Mazor, G., Takayama, K. & Igra, O. 1987 The influence of surface roughness on the transition from regular to Mach reflection in pseudo-steady flows. J. Fluid Mech. 176. 333–356.Google Scholar
Bray, R. M. 1984 Reflexion of weak shock waves from acoustically absorbent materials. MSc thesis, College of Aeronautics, Cranfield Institute of Technology.
Clark, J. F. 1984 The reflection of weak shock waves from absorbent surfaces. Proc. R. Soc. Lond. A 396, 365–382.Google Scholar
Cloutier, M., Devereux, F., Doyen, P. et al. 1971 Reflections of weak shock waves from acoustic materials. J. Acoust. Soc. Am. 50, 1393–1396.Google Scholar
Dongen, M. E. H. VAN, Smeulders, D. M. J., Kitamura, T. & Takayama, K. 1993 On wave phenomena in permeable foam. Rep. Inst. Fluid Sci. 5, 55–67.Google Scholar
Friend, W. H. 1958 The interaction of a plane shock wave with an inclined perforated plate. UTIA Tech Note 25. University of Toronto.
Gelfand, B. E., Gubonov, A. V. & Timofeev, E. J. 1983 Interaction of shock waves in air with a porous screen. Izv. Akad. Nauk SSSR Mekh. Zhid. Gaza 4, 78–84.Google Scholar
Grinten, J. G. M. VAN DER, Dongen, M. E. H. VAN & Kogel, H. VAN DER 1985 A shock tube technique for studying pore-pressure propagation in a dry and water-saturated porous medium. J. Appl. Phys. 58, 2937–2942.Google Scholar
Guy, T. B. 1973 Attenuation of reflecting shock waves in a duct with absorbent lining. J. Sound Vib. 29, 501–503.Google Scholar
Gvozdeva, L. G., Faresov, Y. M., Brossard, J. & Charpentier, N. 1986 Normal shock wave reflection on porous compressible materials. In Dynamics of Explosions (ed. J. R. Bowen, J. C. Leyer & R.I. Soloukhin). Progress in Astronautics and Aeronautics, vol. 106, pp. 155–165.
Hornung, H. G. & Taylor, J. R. 1982 Transition from regular to Mach reflection of shock waves, Part 1. The effect of viscosity in the pseudosteady case. J. Fluid Mech. 123, 143–153.Google Scholar
Idelchik, I. E. 1994 Handbook of Hydraulic Resistance. Boca Raton: CRC Press.
Kobayashi, S., Adachi, T. & Suzuki, T. 1995 Regular reflection of a shock wave over a porous layer: theory and experiment. In Shock Waves@Marseille IV, Proc. 19th Intl Symp. on Shock Waves (ed. R. Brun & L. Z. Dumitrescu), pp. 175–180. Springer.
Levy, A., Ben-Dor, G., Skews, B. W. & Sorek, S. 1993 Head-on collision of normal shock waves with rigid porous materials. Exps. Fluids 15, 183–190.Google Scholar
Li, H., Levy, A. & Ben-Dor, G. 1995 Analytical prediction of regular reflection over porous surfaces and comparisons with experiments. J. Fluid Mech. 282, 219–232.Google Scholar
Neumann, J. VON 1943 Oblique reflection of shocks. Explos. Res. Rep. 12. Dep. Navy, Washington D.C. Also in: Collected works, vol. 6, pp. 238–99, Pergamon (1963).
Onodera, H. & Takayama, K. 1990a Shock wave propagation over slitted wedges. Rep. Inst. Fluid Sci. 1, 45–66.Google Scholar
Onodera, H. & Takayama, K. 1990b Interaction of a plane shock wave with slitted wedges. Exps. Fluids 10, 109–115.Google Scholar
Onodera, H. & Takayama, K. 1994 Analysis of shock wave propagation over perforated wall and its discharge coefficient. JSME Intl J. B, 37, 497–502.Google Scholar
Reichenbach, H. 1985 Roughness and heated layer effects on shock wave propagation and reflection – Experimental results. Ernst Mach Institut Rep E25/85.
Skews, B. W. 1967a The shape of a diffracting shock wave. J. Fluid Mech. 29, 297–304.Google Scholar
Skews, B. W. 1967b The perturbed region behind a diffracting shock wave. J. Fluid Mech. 29, 705–719.Google Scholar
Skews, B. W. 1971 An experimental study of the interaction of shock waves with bends in a duct. Symp. on Internal Flows, University of Salford (ed. J. L. Livesey), pp. D41–D45. Dept Mech. Engng, Salford University.
Skews, B. W. 1991 The reflected pressure field in the interaction of weak shock waves with a compressible foam. Shock Waves 1, 205–211.Google Scholar
Skews, B. W. 1994 Oblique reflection of shock waves from rigid porous materials. Shock Waves 4, 145–154.Google Scholar
Skews, B. W. 1995 Shock wave impact on porous materials. In Shock Waves@Marseille III, Proc. 19th Intl Symp. on Shock Waves (ed. R. Brun & L.Z. Dumitrescu), pp. 11–20. Springer.
Smith, L. G. 1945 Photographic investigation of the reflection of plate shocks in air. OSRD Rep. 6271.
Suzuki, T. & Adachi, T. 1987 Comparison of shock reflections from a dust layer with those from a smooth surface. Theor. Appl. Mech. 35, 345–352.Google Scholar
Takayama, K. 1983 Application of holographic interferometry to shock wave research. Proc. SPIE 398, 174–180.Google Scholar
Takayama, K., Onodera, O. & Gotah, J. 1882 Shock wave reflection over a wedge with surface roughness or curved surface (in Japanese). Rep. Inst. High Speed Mech. Tohoku University, vol. 48, pp. 1–21.
Ward-Smith, A. J. 1971 Pressure Losses in Ducted Flows. Butterworths.
Yang, J.-M., Onodera, O. & Takayama, K. 1994 Characteristics of a diaphragmless shock tube for generating weak shock waves by using a quickly moving rubber membrane. Trans. Japan Soc. Mech. Engrs B 60, 473–479.Google Scholar