Abstract
Shock wave attenuation in polyurethane foams is investigated experimentally and numerically. This study is a part of research project regarding shock propagation in polyurethane foams with high-porosities \(\phi_{g}\) = 0.951 ~ 0.977 and low densities of ρc = 27.6 ~55.8 kg/m3. Sixty Millimeter long cylindrical foams with various cell numbers and foam insertion condition were installed in a horizontal shock tube of 50 mm i.d. and 5.4 mm in length. Results of pressure measurements in air/foam combination are compared with CFD simulation solving the one-dimensional Euler equations. In the case of a foam B fixed on shock tube wall, pressures at the shock tube end wall increases relatively slowly comparing to non-fixed foam, free to move and a foam A fixed on shock tube wall. This implies that elastic inertia hardly contributes to pressure build up. Pressures behind a foam C fixed on shock tube wall decrease indicating that shock wave is degenerated into compression wave. Dimensionless impulse and attenuation factor decrease as the initial cell number increases. The momentum loss varies depending on cell structure and cell number.
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References
Collins R.E.(1961): Flow of Fluids Through Porous Materials. Reinhold Publishing, New York
Bear J. (1972): Dynamics of Fluids in Porous Media. Dover, New York
Gibson L.J., Ashby M.F.(1988): Cellular Solids: Structure and Properties. Pergamon Press, New York
Dullien F.A.L.(1979): Porous Media: Fluid Transport and Pore Structure. Academic, New York
Skews B.W., Atkins M.D., Seitz M.W. (1993): The impact of a shock wave on porous compressible foams. J. Fluid. Mech. 253: 245–265
van der Grinten J.G.M., van Dongen M.E.H van der Kogel H.(1985): A shock-tube technique for studying pore-pressure in a dry and water-saturated porous medium. J. Appl. Phys. 58: 2937–2942
Baer M.R.(1992): A numerical study of shock wave reflections on low density foam. Shock Waves 2: 121–124
Levy A., Ben-Dor G., Sorek S.(1992): Numerical investigation of the propagation of shock waves in rigid porous materials: flow field behavior and parametric study. Shock Waves 8: 127–137
Olim M., van Dongen M.E.H., Kitamura T., Takayama K.(1994): Numerical simulation of the propagation of shock waves in compressible open-cell porous foams. Int. J. Multiphase. Flow. 20(3): 557–568
van Dongen M.E.H., Smeulders D.M.J., Kitamura T., Takayama K. (1993): On wave in permeable foam. Rep. Inst. Fluid Sci. 5: 55–68
Seitz, M.W., Skews, B.W.: Shock impact on porous plugs with a fixed gap between the plug and a wall. In: Proccedings of 20th International Symposium on Shock Waves, pp.1381–1386 (1995)
Hattingh T.S., Skews B.W.(2001): Experimental investigation of interaction of shock waves with textiles. Shock Waves 11: 115–123
Kitagawa K., Jyounouchi T., Yasuhara M.(2001): Drag difference between steady and shocked gas flows passing through a porous body. Shock Waves 11: 133–139
Kitagawa, K., Yokoyama, M., Yasuhara, M.: Attenuation of shock wave by porous materials. In: Proccedings of 24th International Symposium on Shock Waves, China, vol.2, pp. 1247–1252 (2004)
Britan A., Ben-Dor G., Igra O., Shapiro H.(2001): Shock waves attenuation by granular filters. Int. J. Multiph. Flow 27: 617–634
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Kitagawa, K., Yasuhara, M. & Takayama, K. Attenuation of shock waves propagating in polyurethane foams. Shock Waves 15, 437–445 (2006). https://doi.org/10.1007/s00193-006-0042-1
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DOI: https://doi.org/10.1007/s00193-006-0042-1