Abstract
New data on the temperature of water shock-compressed to 79 GPa are presented. Thermal radiation from a water layer compressed by incident shock waves and shock waves reflected from a lithium fluoride or sapphire window was recorded in the range of incident-wave intensity of 28–36 GPa. The reflected-wave pressures were in the range of 49–79 GPa. The temperature measured at the pressure of 79 GPa was 2750 K, which is much lower than the single-shock temperature at this pressure—5270 K. The radiant flux loss at the interfaces was estimated. The temperature of water compressed by one and two shock waves was calculated using an equation of state model, and the calculation results are in good agreement with the experimental data.
Similar content being viewed by others
Abbreviations
- b0(λ, T):
-
Blackbody radiance
- c v :
-
Specific heat
- L(λ, T, t):
-
Spectral radiance when the shock moves through the water layer
- p :
-
Pressure in the shock-compressed matter
- p 1 :
-
Pressure in the incident wave
- p 2 :
-
Pressure in the reflected wave
- (1 − R1)(1 − R2)(1 − R3):
-
Transmittance at the surfaces of the layers
- (1 − R1′)(1 − R2′)(1 − R3′):
-
Transmittance of the boundaries after formation of the reflected shock
- t :
-
Time
- T :
-
True temperature of the shock-compressed matter
- Tb1 and Tb2 :
-
Brightness temperatures
- Tc1 and Tc2 :
-
Color temperatures
- Tb1, Tc1 :
-
Temperature of shock-compressed water in the incident shock
- u s :
-
Shock velocity in water
- u s1 :
-
Velocity of the incident wave
- u p :
-
Particle velocity in the incident wave
- α :
-
Absorption coefficient of shocked water
- Δt :
-
Duration of the pressure p1
- ε(t):
-
Emissivity of shocked water
- λ :
-
Wavelength
References
Al’tshuler, L.V.: Use of shock waves in high-pressure physics. Sov. Phys. Usp. 8, 52–91 (1965). https://doi.org/10.1070/PU1965v008n01ABEH003062
Walsh, J.M., Rice, M.H.: Dynamic compression of liquids from measurements on strong shock waves. J. Chem. Phys. 26(4), 815–823 (1957). https://doi.org/10.1063/1.1743414
Al’tshuler, L.V., Bakanova, A.A., Trunin, R.F.: Phase transformations when water is compressed by strong shock waves. Dokl. Akad. Nauk SSSR 121(1), 67–69 (1958). (in Russian)
Sharipdzhanov, I.I., Al’tshuler, L.V., Brusnikin, S.E.: Anomalies in the shock and isentropic compressibilities of water. Combust. Explos. Shock Waves 19(5), 668–672 (1983). https://doi.org/10.1007/BF00750455
Volkov, L.P., Voloshin, N.P., Mangasarov, R.A., Simonenko, V.A., Sin’ko, G.V., Sorokin, V.L.: Shock compressibility of water at a pressure of 1 Mbar. JETP Lett. 31(9), 513–515 (1980)
Nagayama, K., Mori, Y., Shimada, K., Nakahara, M.: Shock Hugoniot compression curve for water up to 1 GPa by using a compressed gas gun. J. Appl. Phys. 91(1), 476–482 (2002). https://doi.org/10.1063/1.1421630
Rice, M.H., Walsh, J.M.: Equation of state of water to 250 kilobars. J. Chem. Phys. 26(4), 824–830 (1957). https://doi.org/10.1063/1.1743415
Kormer, S.B.: Optical study of the characteristics of shock-compressed condensed dielectrics. Sov. Phys. Usp. 11, 229–254 (1968). https://doi.org/10.1070/PU1968v011n02ABEH003814
Cowperthwaite, M., Shaw, R.: C(v) equation of state for liquids. Calculation of the shock temperature of carbon tetrachloride, nitromethane, and water in the 100-kbar region. J. Chem. Phys. 53(2), 555–560 (1970). https://doi.org/10.1063/1.1674025
Lyzenga, G.A., Ahrens, T.J., Nellis, W.J., Mitchell, A.C.: The temperature of shock-compressed water. J. Chem. Phys. 76(12), 6282–6286 (1982). https://doi.org/10.1063/1.443031
Peng, X.J., Liu, F.S., Zhang, S.L., Zhang, M.J., Jing, F.Q.: The C(v) for calculating the shock temperatures of water below 80 GPa. Sci. China Phys. Mech. Astron. 54(8), 1443–1446 (2011). https://doi.org/10.1007/s11433-011-4396-8
Zel’dovich, Y.B., Kormer, S.B., Sinitsyn, M.V., Yushko, K.B.: An investigation of the optical properties of transparent substances at superhigh pressures. Dokl. Akad. Nauk SSSR 138(6), 1333–1335 (1961). (in Russian)
Kormer, S.B., Yushko, K.B., Krishkevich, G.V.: Phase transformation of water into ice VII by shock compression. Sov. Phys. JETP. 27(6), 879–881 (1968)
Dolan, D.H., Johnson, J.N., Gupta, Y.M.: Nanosecond freezing of water under multiple shock wave compression: continuum modeling and wave profile measurements. J. Chem. Phys. 123(6), 064702 (2005). https://doi.org/10.1063/1.1993556
Dolan, D.H., Knudson, M.D., Hall, C.A., Deeney, C.: A metastable limit for compressed liquid water. Nat. Phys. 3, 339–342 (2007). https://doi.org/10.1038/nphys562
Bastea, M., Bastea, S., Reaugh, J.E., Reisman, D.B.: Freezing kinetics in overcompressed water. Phys. Rev. B 75(17), 172104 (2007). https://doi.org/10.1103/PhysRevB.75.172104
Ree, F.H.: Molecular interaction of dense water at high temperature. J. Chem. Phys. 76(12), 6287 (1982). https://doi.org/10.1063/1.443032
Nazarov, D.V., Mikhailov, A.L., Fedorov, A.V., Manachkin, S.F., Urlin, V.D., Men’shikh, A.V., Finyushin, S.A., Davydov, V.A., Filinov, E.V.: Properties of optically transparent materials under quasi-entropic compression. Combust. Explos. Shock Waves 42(3), 351–355 (2006). https://doi.org/10.1007/s10573-006-0062-2
Urtiew, P.A.: Effect of shock loading on transparency of sapphire crystals. J. Appl. Phys. 45, 3490 (1974). https://doi.org/10.1063/1.1663807
Cao, X., Wang, Y., Li, X., Xu, L., Liu, L., Yu, Y., Qin, R., Zhu, W., Tang, S., He, L., Meng, C., Zhang, B., Peng, X.: Refractive index and phase transformation of sapphire under shock pressures up to 210 GPa. J. Appl. Phys. 121, 115903 (2017). https://doi.org/10.1063/1.4978746
Zhang, N.C., Liu, F.S., Peng, X.J., Zhang, M.J., Chen, J.X.: Light emission properties of sapphire under shock loading in the stress range of 40–120 GPa. Sci. China Phys. Mech. Astron. 56(3), 562–567 (2013). https://doi.org/10.1007/s11433-013-5034-4
Bordzilovskii, S.A., Karakhanov, S.M., Khishchenko, K.V.: Thermal radiation from water behind the reflected shock wave. Combust. Explos. Shock Waves 54(6), 712–719 (2018). https://doi.org/10.1134/S0010508218060114
Trunin, R.F., Gudarenko, L.F., Zhernokletov, M.V., Simakov, G.V.: Experimental Data on Shock-Wave Compression and Adiabatic Expansion of Condensed Substances. Inst. Exper. Phys., Russian Federal Nuclear Center, Sarov (2006). (in Russian)
Bordzilovskii, S.A., Karakhanov, S.M., Bordzilovskii, D.S.: Using an optical pyrometer for temperature measurements of shock-compressed polytetrafluoroethylene. Combust. Explos. Shock Waves 46(1), 81–88 (2010). https://doi.org/10.1007/s10573-010-0014-8
Boslough, M.B.: A model for time dependence in shock-induced thermal radiation of light. J. Appl. Phys. 58(9), 3394–3399 (1985). https://doi.org/10.1063/1.335756
Mitchell, A.C., Nellis, W.J.: Equation of state and electrical conductivity of water and ammonia shocked to the 100 GPa (1 Mbar) pressure range. J. Chem. Phys. 76(12), 6273–6281 (1982). https://doi.org/10.1063/1.443030
Khishchenko, K.V.: Temperature and heat capacity of polymethyl methacrylate behind the front of strong shock waves. High Temp. 35(6), 991–994 (1997)
Pistorius, C.W.F.T., Pistorius, M.C., Blakey, J.P., Admiraal, L.J.: Melting curve of ice VII to 200 kbar. J. Chem. Phys. 38, 600 (1963). https://doi.org/10.1063/1.1733711
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by P. J. Hazell.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Bordzilovskii, S.A., Karakhanov, S.M. & Khishchenko, K.V. Brightness temperature of water compressed by a double shock to pressures of 60–79 GPa. Shock Waves 30, 505–511 (2020). https://doi.org/10.1007/s00193-020-00950-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00193-020-00950-3