Abstract
This paper addresses discrepancies between the results of different measurements of the effective tensile strength F(F c ) of liquids, in experiments in which a pulse of tension (or ’negative pressure’) is created by the reflection of a pressure pulse at a suitable boundary. We show that a key feature of the pressure records previously reported in experiments such as the ‘Bullet-Piston’ (B-P) pulse-reflection apparatus [1] may have been misinterpreted. The first complete account of such pressure records is reported here. We also report a new method of estimating F e in a modified B-P apparatus and the results obtained indicate that samples of degassed, deionised water can sustain tensions which are an order-of-magnitude greater than previously reported in B-P work. Results are also reported for work involving samples of Newtonian silicone oils, for which the dependence of F c on shear viscosity, μ, found in this work confirms that of an earlier study although the absolute values of F c are found to be considerably greater than previously reported.
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References
Temperley, H.N.V., Trevena, D.H. (1987) Why is the tensile strength of water measured dynamically less than that measured staticall, J. Phys. D: Appl Phys., 20, 1080–1081.
Berthelot M. (1850) Sur quelquesphenomenes de dilation force de liquids, Ann. Chim. Phys., 30, 232–237.
Joseph, D.D. (1998) Cavitation and the state of stress in a flowing liquid, J. Fluid Mech., 366, 367–378.
Zheng, Q., Durben, D. J., Wolf, G.H. and Angell, C. A. (1991) Liquids at large negative pressure: water at the homogeneous nucleation limit, Science, 254, 829–832.
Green, J. L., Durben, D. J., Wolf, G. H. & Angell, C. A. (1990) Water and solutions at negative pressure: Raman spectroscopic s tudy to — 80 Megapascals, Science, 249, 649–652.
Roedder, E. (1967) Metastable superheated ice in liquid water inclusions under high negative pressures. Science 155, 1413–1417.
Marston, P.L. and Unger, B.T. (1986) Rapid cavitation induced by the reflection of shock waves, in Shock Waves in Condensed Matter Plenum, New York 401.
Williams, P.R., Williams, P.M. and Brown, S.W.J. (1997) Pressure waves arising from the oscillation of cavitation bubbles under dynamic stressing, J. Phys. D: Appl. Phys., 30, 1197–1206.
Briggs, L.J. (1950) Limiting negative pressure of water, J. Appl Phys., 21, 721–722.
Strube, H.W. and Lauterborn, W. (1970) Investigation by the centrifuge method of cavitation nuclei at the interface between glass and water, ZAngew. Phys., 29, 349–357.
Henderson, S.J., Speedy. R.J. (1980) A Berthelot-Bourdon tube method for studying water under tension, J. Phys. E: Sci. Instrum., 13, 778–782.
Greenspan, M., Tschiegg, C.E. (1967) Radiation-induced acoustic cavitation; apparatus and some results, J. Res. Natl. Bur. Stand. Sect. C 71, 299–312.
Galloway, W.J. (1954) An experimental study of acoustically induced cavitation in liquids, J. Acoust. Soc. Am., 26, 849–857.
Davies, R.M., Trevena, D.H., Rees, N.J.M. and Lewis, G.M. (1956) The tensile strength of liquids under dynamic stressing. Proceedings of the National Physical Laboratory Symposium on Cavitation in Hydrodynamics. 5, 1–20.
Couzens, D.C.F. and Trevena, D.H. (1969) Critical tension in a liquid under dynamic conditions of stressing, Nature, 222, 473–474.
Couzens, D.C.F. and Trevena, D.H. (1974) Tensile failure of liquids under dynamic stressing, J. Phys. D: Appl. Phys., 7, 2277–2287.
Sedgewick, S.A. and Trevena, D.H. (1976) Limiting negative pressure of water under dynamic stressing, J. Phys. D: Appl Phys., 9, 1983–1990.
Richards, B.E., Trevena, D.H. and Edwards, D.H. (1980) Cavitation experiments using a water shock tube, J. Phys. D: Appl. Phys., 13, 1315–1323.
Crum, L.A., Fowlkes, J.B. (1986) Acoustic cavitation generated by microsecond pulses of ultrasound, Nature, 319, 52–54.
Bull, T.H. (1956) The tensile strengths of liquids under dynamic loading, Phil. Mag., 8,153–165.
Wilson, D. A., Hoyt, J.W. and McKune, J. W. (1975) Measurement of tensile strength of liquids by an explosion technique, Nature, 253, 723–725.
Alvarenga, A.D., Grimsditch, M. and Bodnar, R.J. (1993) Elastic properties of water under negative pressures. J. Chem. Phys., 98, 8392–8396.
Fisher, J. C. (1948) The fracture of liquids, J. Appl. Phys., 19, 1062–1067.
Trevena, D.H. (1982) Time effects in cavitation experiments, J. Phys. D: Appl. Phys., 15, L111–114.
Trevena, D.H. (1987) Cavitation and Tension in Liquids, Adam Hilger, Bristol.
Rosenschein, U. and Rassin, T. (1998) Ultrasound Thrombolysis, Science and Medicine, 5, 36–43.
Als-Nielsen, J. (1985) The Liquid Vapour Interface, Z. Phys. B, 61, 411–414.
Bolz, R and Tuve, G. (Eds.) (1973) CRC Handbook of Tables for Applied Engineering Science, 2nd Edn, CRC Press.
Tomita, Y. and Shima, A. (1986) Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse, J. Fluid Mech., 169, 535–564.
Overton, G. D. N. & Trevena, D. H. (1981) Cavitation phenomena and the occurrence of pressure-tension cycles under dynamic stressing, J.Phys.D: Appl.Phys., 14, 241–250.
Plessett, M.S. and Prosperetti, A. (1977) Bubble Dynamics and Cavitation, Ann. Rev. Fluid Mech., 9, 145–185.
Rayleigh, Lord. (1917) On the pressure developed in a liquid during the collapse of a spherical cavity, Phil. Mag., 34, 94–98.
Williams, P.R. and Williams, P.M. (1996) Pressure-tension cycles induced by dynamic stressing and cavitation in liquids, J.Phys.D: Appl.Phys., 29, 1904–1909.
Carlson, G.A. and Levine, H.S. (1975) Dynamic tensile strength of glycerol, J.Appl.Phys., 46, 1594–1601.
Hsieh, D.Y. (1970) Bubble growth in a viscous liquid due to a transient pulse, J. Basic Eng., 92, 815–818.
Fujikawa, S. and Akamatsu, T. (1980) Effects of the non-equilibrium condensation of vapour on the pressure wave produced by the collapse of a bubble in a liquid, J. Fluid Mech., 97, 481–512.
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Williams, P.R., Williams, R.L. (2002). Measurements of the Cavitation Threshold of Liquids Under Dynamic Stressing by Pulses of Tension. In: Imre, A.R., Maris, H.J., Williams, P.R. (eds) Liquids Under Negative Pressure. NATO Science Series, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0498-5_24
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DOI: https://doi.org/10.1007/978-94-010-0498-5_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0896-2
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