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Analytical prediction of regular reflection over rigid porous surfaces in pseudo-steady flows

Published online by Cambridge University Press:  26 April 2006

H. Li ,
A. Levy  and
G. Ben-Dor
H. Li
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
A. Levy
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
G. Ben-Dor
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
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Abstract

An analytical model for solving the flow field associated with regular reflections of straight shock waves over porous layers has been developed. The governing equations of the gas inside the porous material were obtained by simplifying the general macroscopic balance equations which were obtained by an averaging process over a representative elementary volume of the microscopic balance equations as originally done by Bear & Bachmat (1990). The analytical predictions of the proposed model were compared to experimental results of Skews (1992) and Kobayashi, Adachi & Suzuki (1993). Very good to excellent agreement was evident.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 282 , 10 January 1995 , pp. 219 - 232
Copyright
© 1995 Cambridge University Press

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References

Adachi, T., Kobayashi, S. & Suzuki, T. 1992 An experimental analysis of oblique shock reflection over two dimensional multi-guttered wedges. Fluid Dyn. Res. 9, 119–132.Google Scholar
Bazhenova, T. V., Gvozdeva, L. G. & Nettleton, M. A. 1984 Unsteady interactions of shock waves. Prog. Aero. Sci. 21, 249–331.Google Scholar
Bear, J. & Bachmat, Y. 1990 Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer.
Bear, J. & Sorek, S. 1990 Evolution of governing mass and momentum balance following abrupt pressure impact in a porous medium. Transport in Porous Media 5, 169–185.Google Scholar
Bear, J., Sorek, S., Ben-Dor, G. & Mazor, G. 1992 Displacement waves in saturated thermoelastic porous media 1. Basic equations. Fluid Dyn. Res. 9, 155–164.Google Scholar
Ben-Dor, G. 1988 Steady, pseudo-steady and unsteady shock wave reflections. Prog. Aero. Sci. 41, 379–437.Google Scholar
Ben-Dor, G. 1991 Shock Wave Reflection Phenomena. Springer.
Hornung, H. G. 1986 Regular and Mach reflection of shock waves. Ann. Rev. Fluid Mech. 18, 33–58.Google Scholar
Kobayashi, S., Adachi, T. & Suzuki, T. 1995 Regular reflection of a shock wave over a porous layer: Theory and experiment. In Shock Waves at Marseille, Proc. 19th ISSW (ed. R. Brum & L. Z. Dumitrescu). Springer (to appear).
Krilov, A., Sorek, S., Levy, A. & Ben-Dor, G. 1995 Simple waves in saturated porous media. Part 1. The isothermal case. J. Fluid Mech. (submitted).Google Scholar
Levy, A., Ben-Dor, G., Skews, B. W. & Sorek, S. 1993a Head-on collision of normal shock waves with rigid porous materials. Exp. Fluids 15, 183–190.Google Scholar
Levy, A., Ben-Dor, G., Sorek, S. & Bear, J. 1993b Jump conditions across strong compaction waves in gas saturated rigid porous media. Shock Waves 3 (2), 105–111.Google Scholar
Levy, A., Ben-Dor, G., Sorek, S. & Skews, B. 1995a Wave propagation in saturated rigid porous media: Analytical model and comparison with experimental results. Phys. Fluids (submitted).Google Scholar
Levy, A., Sorek, S., Ben-Dor, G. & Bear, J. 1995b Evolution of the balance equations in saturated thermoelastic porous media following abrupt simultaneous changes in pressure and temperature. Transport in Porous Media (submitted).Google Scholar
Olim, M., Dongen, M. E. W. van, Kitamura, T. & Takayama, K. 1994 Numerical simulation of — the propagation of shock waves in compressible open-cell porous foams. Intl J. Multiphase Flow 20, 557–568.Google Scholar
Onodera, H. & Takayama, K. 1990 Interaction of a plane shock wave with slitted wedges. Exp. Fluids 10, 109–115.Google Scholar
Reichenbach, H. 1985 Roughness and heated layer effects on shock wave propagation and reflection — experimental results, Ernst Mach Institute, Rep. E25/85.
Sandusky, H. W. & Liddiard, T. P. 1985 Dynamic compaction of porous beds. NSWC TR 83–256. Naval Surface Weapons Center, White Oak, MD, USA.
Skews, B. W. 1992 Oblique reflection of shock waves from rigid porous materials. 10th Mach Reflection Symposium, Univ. of Denver, Denver, Colorado, USA.
Skews, B. W. 1994 Oblique reflection of shock waves from rigid porous materials. Shock Waves (to appear).
Smith, L. G. 1945 Photographic investigation of the reflection of plane shocks in air. OSRD Rep. 6271. Washington, DC, USA.
Sorek, S., Bear, J., Ben-Dor, G. & Mazor, G. 1992 Shock waves in saturated thermoelastic porous media. Transport in Porous Media 9, 3–13.Google Scholar
Sorek, S., Krilov, A., Levy, A. & Ben-Dor, G. 1995 Simple waves in saturated porous media. Part 2. The non-isothermal case. J. Fluid Mech. (submitted).Google Scholar