Abstract
The head-on collision of planar shock waves with rigid porous materials was investigated experimentally and numerically. The experiments were conducted in a 75 mm x 75 mm shock tube. The rigid porous samples were made of silicon carbide (10 and 20 ppi) and alumina (30 and 40 ppi). The length of the models were in the range 40–100 mm. The shock wave Mach number range was 1.2–1.7. The pressure histories at various locations along the shock tube side-wall and at the end-wall were recorded in each experiment. The numerical study consisted of developing a 1-D TVD-based computer code capable of solving the macroscopic governing equations. The agreement between the experimental results and the numerical predictions was very good. Based on this agreement a parametric investigation using the computer code was carried out.
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References
Bear, J. and Bachmat, Y. (1990) Introduction to Modeling of Transport Phenomena in Porous Media, Iluwer Academic Publishers, Dordrecht, The Netherlands.
Bear, J., Sorek, S., Ben-Dor, G. and Mazor, G. (1992) Displacement Waves in Saturated Thermoelastic Porous Media. I. Basic Equations, Fluid Dynamic Research, Vol. 9, PP. 155–164.
Gibson, L.J. and Ashby, M.F. (1988) Cellular Solids - Structure ê1 Properties, Program Press, Headington Hill Hall, Oxford, England.
Harten, A. (1983) High Resolution Schemes for Hyperbolic Conservation Laws, J. Comput. Phys., Vol. 49, pp. 357–393.
Levy, A. (1995) Wave Propagation in a Saturated Porous Media, Ph.D Thesis, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel, (in Hebrew).
Levy, A., Ben-Dor, G., Skews, B.W. and Sorek, S. (1993) Head-On Collision of Normal Shock Waves with Rigid Porous Materials, Experiments in Fluids, Vol. 15, pp. 183–190.
Levy, A., Sorek, S., Ben-Dor, G. and Bear, J. (1995) Evolution of the Balance Equations in Saturated Thermoelastic Porous Media Following Abrupt Simultaneous Changes in Pressure and Temperature, Transport in Porous Media, to be published.
Mazor, G., Ben-Dor, G., Igra, O. and Sorek, S. (1994) Shock Wave Interaction with Cellular Materials. Part I: Analytical Investigation and Governing Equations, Shock Waves, Vol. 3, pp. 159–165.
Sorek, S., Bear, J., Ben-Dor, G. and Mazor, G. (1992) Shock Waves in Saturated Thermoelastic Porous Media, Transport in Porous Media, Vol. 9, pp. 3–13.
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© 1998 Springer Science+Business Media Dordrecht
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Ben-Dor, G., Levy, A., Sorek, S. (1998). Waves Propagation in Saturated Rigid Porous Media — Numerical Simulation and Comparison with Experiments. In: Toro, E.F., Clarke, J.F. (eds) Numerical Methods for Wave Propagation. Fluid Mechanics and Its Applications, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9137-9_3
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DOI: https://doi.org/10.1007/978-94-015-9137-9_3
Publisher Name: Springer, Dordrecht
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