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Volumn 25, Issue 8, 2013, Pages

Nonlinear oscillations following the Rayleigh collapse of a gas bubble in a linear viscoelastic (tissue-like) medium

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); CAVITATION; COMPRESSIBILITY OF LIQUIDS; CONTROL NONLINEARITIES; DAMPING; ELASTICITY; MEDICAL APPLICATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; STRESS RELAXATION; TISSUE; TISSUE ENGINEERING;

EID: 84883422009     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4817673     Document Type: Article
Times cited : (57)

References (56)
  • 1
    • 0028307984 scopus 로고
    • Ultrasound contrast agents: A review
    • 10.1016/0301-5629(94)90001-9
    • Goldberg B.B. Liu J.B. Forsberg F. Ultrasound contrast agents: A review. Ultrasound Med. Biol. 1994, 20:319-333. 10.1016/0301-5629(94)90001-9, and ",".
    • (1994) Ultrasound Med. Biol. , vol.20 , pp. 319-333
    • Goldberg, B.B.1    Liu, J.B.2    Forsberg, F.3
  • 2
    • 0031020689 scopus 로고    scopus 로고
    • Extracorporeal shock wave lithotripsy: Development, instrument, and current status
    • 10.1016/S0094-0143(05)70363-3
    • Lingeman J.E. Extracorporeal shock wave lithotripsy: Development, instrument, and current status. Urol. Clin. North Am. 1997, 24:185-211. 10.1016/S0094-0143(05)70363-3, ",".
    • (1997) Urol. Clin. North Am. , vol.24 , pp. 185-211
    • Lingeman, J.E.1
  • 3
    • 30344464424 scopus 로고    scopus 로고
    • Pulsed cavitational ultrasound: A noninvasive technology for controlled tissue ablation (histotripsy) in the rabbit kidney
    • 10.1016/S0022-5347(05)00141-2
    • Roberts W.W. Hall T.L. Ives K. Wolf J.S. Fowlkes J.B. Cain C.A. Pulsed cavitational ultrasound: A noninvasive technology for controlled tissue ablation (histotripsy) in the rabbit kidney. J. Urol. 2006, 175:734-738. 10.1016/S0022-5347(05)00141-2, and ",".
    • (2006) J. Urol. , vol.175 , pp. 734-738
    • Roberts, W.W.1    Hall, T.L.2    Ives, K.3    Wolf, J.S.4    Fowlkes, J.B.5    Cain, C.A.6
  • 4
    • 38949148078 scopus 로고    scopus 로고
    • Traumatic brain injury: The signature of modern conflicts
    • 10.1016/S1474-4422(08)70032-2
    • Hayward P. Traumatic brain injury: The signature of modern conflicts. Lancet Neurol. 2008, 7:200-201. 10.1016/S1474-4422(08)70032-2, ",".
    • (2008) Lancet Neurol. , vol.7 , pp. 200-201
    • Hayward, P.1
  • 5
    • 53949119825 scopus 로고    scopus 로고
    • Shock-induced collapse of a gas bubble in shockwave lithotripsy
    • 10.1121/1.2973229
    • Johnsen E. Colonius T. Shock-induced collapse of a gas bubble in shockwave lithotripsy. J. Acoust. Soc. Am. 2008, 124:2011-2020. 10.1121/1.2973229, and ",".
    • (2008) J. Acoust. Soc. Am. , vol.124 , pp. 2011-2020
    • Johnsen, E.1    Colonius, T.2
  • 6
    • 67650904791 scopus 로고    scopus 로고
    • Numerical simulations of non-spherical bubble collapse
    • 10.1017/S0022112009006351
    • Johnsen E. Colonius T. Numerical simulations of non-spherical bubble collapse. J. Fluid Mech. 2009, 629:231-262. 10.1017/S0022112009006351, and ",".
    • (2009) J. Fluid Mech. , vol.629 , pp. 231-262
    • Johnsen, E.1    Colonius, T.2
  • 7
    • 79958740971 scopus 로고    scopus 로고
    • The collapse of single bubbles and approximation of the far-field acoustic emissions for cavitation induced by shock wave lithotripsy
    • 10.1017/jfm.2011.85
    • Jamaluddin A.R. Ball G.J. Turangan C.K. Leighton T.G. The collapse of single bubbles and approximation of the far-field acoustic emissions for cavitation induced by shock wave lithotripsy. J. Fluid Mech. 2011, 677:305-341. 10.1017/jfm.2011.85, and ",".
    • (2011) J. Fluid Mech. , vol.677 , pp. 305-341
    • Jamaluddin, A.R.1    Ball, G.J.2    Turangan, C.K.3    Leighton, T.G.4
  • 8
    • 0028524136 scopus 로고
    • Collapse of spherical bubbles in maxwell fluids
    • 10.1016/0377-0257(94)80059-6
    • Kim C. Collapse of spherical bubbles in maxwell fluids. J. Non-Newtonian Fluid Mech. 1994, 55:37-58. 10.1016/0377-0257(94)80059-6, ",".
    • (1994) J. Non-Newtonian Fluid Mech. , vol.55 , pp. 37-58
    • Kim, C.1
  • 9
    • 70449345973 scopus 로고    scopus 로고
    • Shock-induced bubble jetting into a viscous fluid with application to tissue injury in shock-wave lithotripsy
    • 10.1121/1.3224830
    • Freund J.B. Shock-induced bubble jetting into a viscous fluid with application to tissue injury in shock-wave lithotripsy. J. Acoust. Soc. Am. 2009, 126:2746-2756. 10.1121/1.3224830, ",".
    • (2009) J. Acoust. Soc. Am. , vol.126 , pp. 2746-2756
    • Freund, J.B.1
  • 10
    • 77955415935 scopus 로고    scopus 로고
    • Numerical simulation of bubble dynamics in a Phan-Thien-Tanner liquid: Non-linear shape and size oscillatory response under periodic pressure
    • 10.1016/j.ultras.2010.03.002
    • Foteinopoulou K. Laso M. Numerical simulation of bubble dynamics in a Phan-Thien-Tanner liquid: Non-linear shape and size oscillatory response under periodic pressure. Ultrasonics 2010, 50:758-776. 10.1016/j.ultras.2010.03.002, and ",".
    • (2010) Ultrasonics , vol.50 , pp. 758-776
    • Foteinopoulou, K.1    Laso, M.2
  • 11
    • 71749108169 scopus 로고    scopus 로고
    • Spherical bubble collapse in viscoelastic fluids
    • 10.1016/j.jnnfm.2009.09.002
    • Lind S.J. Phillips T.N. Spherical bubble collapse in viscoelastic fluids. J. Non-Newtonian Fluid Mech. 2010, 165:56-64. 10.1016/j.jnnfm.2009.09.002, and ",".
    • (2010) J. Non-Newtonian Fluid Mech. , vol.165 , pp. 56-64
    • Lind, S.J.1    Phillips, T.N.2
  • 12
    • 84874019890 scopus 로고    scopus 로고
    • Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids
    • 10.1002/fld.3701
    • Lind S.J. Phillips T.N. Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids. Int. J. Numer. Methods Fluids 2013, 71:1103-1130. 10.1002/fld.3701, and ",".
    • (2013) Int. J. Numer. Methods Fluids , vol.71 , pp. 1103-1130
    • Lind, S.J.1    Phillips, T.N.2
  • 14
    • 0000170681 scopus 로고
    • Bubble dynamics and cavitation
    • 10.1146/annurev.fl.09.010177.001045
    • Plesset M.S. Prosperetti A. Bubble dynamics and cavitation. Annu. Rev. Fluid Mech. 1977, 9:145-185. 10.1146/annurev.fl.09.010177.001045, and ",".
    • (1977) Annu. Rev. Fluid Mech. , vol.9 , pp. 145-185
    • Plesset, M.S.1    Prosperetti, A.2
  • 15
    • 0016521859 scopus 로고
    • Cavitation dynamics. I. A mathematical formulation
    • 10.1121/1.380624
    • Flynn H.G. Cavitation dynamics. I. A mathematical formulation. J. Acoust. Soc. Am. 1975, 57:1379-1396. 10.1121/1.380624, ",".
    • (1975) J. Acoust. Soc. Am. , vol.57 , pp. 1379-1396
    • Flynn, H.G.1
  • 16
    • 0016587931 scopus 로고
    • Cavitation dynamics. II. Free pulsations and models for cavitation bubbles
    • 10.1121/1.380799
    • Flynn H.G. Cavitation dynamics. II. Free pulsations and models for cavitation bubbles. J. Acoust. Soc. Am. 1975, 58:1160-70. 10.1121/1.380799, ",".
    • (1975) J. Acoust. Soc. Am. , vol.58 , pp. 1160-1170
    • Flynn, H.G.1
  • 17
    • 0014786744 scopus 로고
    • Collapse of spherical cavities in viscoelastic fluids
    • 10.1063/1.1693042
    • Fogler H. Goddard J. Collapse of spherical cavities in viscoelastic fluids. Phys. Fluids 1970, 13:1135-1141. 10.1063/1.1693042, and ",".
    • (1970) Phys. Fluids , vol.13 , pp. 1135-1141
    • Fogler, H.1    Goddard, J.2
  • 18
    • 0015202084 scopus 로고
    • Cavitation in viscoelastic media
    • 10.1122/1.549233
    • Kaelble D.H. Cavitation in viscoelastic media. Trans. Soc. Rheol. 1971, 15:275-296. 10.1122/1.549233, ",".
    • (1971) Trans. Soc. Rheol. , vol.15 , pp. 275-296
    • Kaelble, D.H.1
  • 19
    • 0016027932 scopus 로고
    • Bubble pulsation and cavitation in viscoelastic liquids
    • 10.1063/1.1663314
    • Yang W.J. Lawson M.L. Bubble pulsation and cavitation in viscoelastic liquids. J. Appl. Phys. 1974, 45:754-758. 10.1063/1.1663314, and ",".
    • (1974) J. Appl. Phys. , vol.45 , pp. 754-758
    • Yang, W.J.1    Lawson, M.L.2
  • 20
    • 0021217485 scopus 로고
    • Dynamics of nonspherical bubbles surrounded by viscoelastic fluid
    • 10.1016/0377-0257(84)80047-6
    • Hara S.K. Schowalter W.R. Dynamics of nonspherical bubbles surrounded by viscoelastic fluid. J. Non-Newtonian Fluid Mech. 1984, 14:249-264. 10.1016/0377-0257(84)80047-6, and ",".
    • (1984) J. Non-Newtonian Fluid Mech. , vol.14 , pp. 249-264
    • Hara, S.K.1    Schowalter, W.R.2
  • 21
    • 0034130833 scopus 로고    scopus 로고
    • Dynamics of gas bubbles in viscoelastic fluids. I. Linear viscoelasticity
    • 10.1121/1.429344
    • Allen J. Roy R. Dynamics of gas bubbles in viscoelastic fluids. I. Linear viscoelasticity. J. Acoust. Soc. Am. 2000, 107:3167-3178. 10.1121/1.429344, and ",".
    • (2000) J. Acoust. Soc. Am. , vol.107 , pp. 3167-3178
    • Allen, J.1    Roy, R.2
  • 22
    • 0033774479 scopus 로고    scopus 로고
    • Dynamics of gas bubbles in viscoelastic fluids. II. Nonlinear viscoelasticity
    • 10.1121/1.1289361
    • Allen J. Roy R. Dynamics of gas bubbles in viscoelastic fluids. II. Nonlinear viscoelasticity. J. Acoust. Soc. Am. 2000, 108:1640-1650. 10.1121/1.1289361, and ",".
    • (2000) J. Acoust. Soc. Am. , vol.108 , pp. 1640-1650
    • Allen, J.1    Roy, R.2
  • 23
    • 0036793657 scopus 로고    scopus 로고
    • Radial oscillations of encapsulated microbubbles in viscoelastic liquids
    • 10.1063/1.1503353
    • Khismatullin D. Nadim A. Radial oscillations of encapsulated microbubbles in viscoelastic liquids. Phys. Fluids 2002, 14:3534-3557. 10.1063/1.1503353, and ",".
    • (2002) Phys. Fluids , vol.14 , pp. 3534-3557
    • Khismatullin, D.1    Nadim, A.2
  • 24
    • 20744451528 scopus 로고    scopus 로고
    • Bubble oscillation and inertial cavitation in viscoelastic fluids
    • 10.1016/j.ultras.2005.03.010
    • Jimenez-Fernandez J. Crespo A. Bubble oscillation and inertial cavitation in viscoelastic fluids. Ultrasonics 2005, 43:643-651. 10.1016/j.ultras.2005.03.010, and ",".
    • (2005) Ultrasonics , vol.43 , pp. 643-651
    • Jimenez-Fernandez, J.1    Crespo, A.2
  • 25
    • 29244437541 scopus 로고    scopus 로고
    • A model for the dynamics of gas bubbles in soft tissue
    • 10.1121/1.2118307
    • Yang X. Church C. A model for the dynamics of gas bubbles in soft tissue. J. Acoust. Soc. Am. 2005, 118:3595-3606. 10.1121/1.2118307, and ",".
    • (2005) J. Acoust. Soc. Am. , vol.118 , pp. 3595-3606
    • Yang, X.1    Church, C.2
  • 26
    • 84870899026 scopus 로고    scopus 로고
    • Theoretical microbubble dynamics in a viscoelastic medium at capillary breaching thresholds
    • 10.1121/1.4763993
    • Patterson B. Miller D.L. Johnsen E. Theoretical microbubble dynamics in a viscoelastic medium at capillary breaching thresholds. J. Acoust. Soc. Am. 2012, 132:3770-3777. 10.1121/1.4763993, and ",".
    • (2012) J. Acoust. Soc. Am. , vol.132 , pp. 3770-3777
    • Patterson, B.1    Miller, D.L.2    Johnsen, E.3
  • 27
    • 0033620913 scopus 로고    scopus 로고
    • A first-order model for bubble dynamics in a compressible viscoelastic liquid
    • 10.1016/S0377-0257(98)00144-X
    • Brujan E.A. A first-order model for bubble dynamics in a compressible viscoelastic liquid. J. Non-Newtonian Fluid Mech. 1999, 84:83-103. 10.1016/S0377-0257(98)00144-X, ",".
    • (1999) J. Non-Newtonian Fluid Mech. , vol.84 , pp. 83-103
    • Brujan, E.A.1
  • 28
    • 62449312111 scopus 로고    scopus 로고
    • Cavitation bubble dynamics in non-Newtonian fluids
    • 10.1002/pen.21292
    • Brujan E.A. Cavitation bubble dynamics in non-Newtonian fluids. Polym. Eng. Sci. 2009, 49:419-431. 10.1002/pen.21292, ",".
    • (2009) Polym. Eng. Sci. , vol.49 , pp. 419-431
    • Brujan, E.A.1
  • 29
    • 52749085251 scopus 로고    scopus 로고
    • Periodic and chaotic oscillations of a bubble gas immersed in an upper convective maxwell fluid
    • 10.1016/j.jnnfm.2008.04.003
    • Naude J. Mendez F. Periodic and chaotic oscillations of a bubble gas immersed in an upper convective maxwell fluid. J. Non-Newtonian Fluid Mech. 2008, 155:30-38. 10.1016/j.jnnfm.2008.04.003, and ",".
    • (2008) J. Non-Newtonian Fluid Mech. , vol.155 , pp. 30-38
    • Naude, J.1    Mendez, F.2
  • 30
    • 0002239998 scopus 로고
    • On the pressure developed in a liquid during the collapse of a spherical cavity
    • 10.1080/14786440808635681
    • Rayleigh L. On the pressure developed in a liquid during the collapse of a spherical cavity. Philos. Mag. 1917, 34:94-98. 10.1080/14786440808635681, ",".
    • (1917) Philos. Mag. , vol.34 , pp. 94-98
    • Rayleigh, L.1
  • 31
    • 0019045265 scopus 로고
    • Bubble oscillations of large amplitude
    • 10.1121/1.384720
    • Keller J.B. Miksis M. Bubble oscillations of large amplitude. J. Acoust. Soc. Am. 1980, 68:628-633. 10.1121/1.384720, and ",".
    • (1980) J. Acoust. Soc. Am. , vol.68 , pp. 628-633
    • Keller, J.B.1    Miksis, M.2
  • 32
    • 0022757498 scopus 로고
    • Bubble dynamics in a compressible liquid. Part 1. First-order theory
    • 10.1017/S0022112086000460
    • Prosperetti A. Lezzi A. Bubble dynamics in a compressible liquid. Part 1. First-order theory. J. Fluid Mech. 1986, 168:457-478. 10.1017/S0022112086000460, and ",".
    • (1986) J. Fluid Mech. , vol.168 , pp. 457-478
    • Prosperetti, A.1    Lezzi, A.2
  • 33
    • 0023560206 scopus 로고
    • Bubble dynamics in a compressible liquid. Part 2. Second-order theory
    • 10.1017/S0022112087003185
    • Lezzi A. Prosperetti A. Bubble dynamics in a compressible liquid. Part 2. Second-order theory. J. Fluid Mech. 1987, 185:289-321. 10.1017/S0022112087003185, and ",".
    • (1987) J. Fluid Mech. , vol.185 , pp. 289-321
    • Lezzi, A.1    Prosperetti, A.2
  • 36
    • 0030691159 scopus 로고    scopus 로고
    • Curve fitting methods and mechanical models for identification of viscoelastic parameters of vascular wall - Comparative study
    • Orosz M. Molnarka G. Monos E. Curve fitting methods and mechanical models for identification of viscoelastic parameters of vascular wall - Comparative study. Med. Sci. Monit. 1997, 3:599-604. and ",".
    • (1997) Med. Sci. Monit. , vol.3 , pp. 599-604
    • Orosz, M.1    Molnarka, G.2    Monos, E.3
  • 37
    • 0019044539 scopus 로고
    • Comprehensive compilation of empirical ultrasonic properties of mammalian tissues II
    • 10.1121/1.384509
    • Goss S. Johnston R.L. Dunn F. Comprehensive compilation of empirical ultrasonic properties of mammalian tissues II. J. Acoust. Soc. Am. 1980, 68:93-108. 10.1121/1.384509, and ",".
    • (1980) J. Acoust. Soc. Am. , vol.68 , pp. 93-108
    • Goss, S.1    Johnston, R.L.2    Dunn, F.3
  • 38
    • 84873522670 scopus 로고    scopus 로고
    • Probability of cavitation for single ultrasound pulses applied to tissues and tissue-mimicking materials
    • 10.1016/j.ultrasmedbio.2012.09.004
    • Maxwell A. Cain C.A. Hall T.L. Towlkes J.B. Xu Z. Probability of cavitation for single ultrasound pulses applied to tissues and tissue-mimicking materials. Ultrasound Med. Biol. 2013, 39:449-465. 10.1016/j.ultrasmedbio.2012.09.004, and ",".
    • (2013) Ultrasound Med. Biol. , vol.39 , pp. 449-465
    • Maxwell, A.1    Cain, C.A.2    Hall, T.L.3    Towlkes, J.B.4    Xu, Z.5
  • 39
    • 0026032595 scopus 로고
    • Gauging the likelihood of cavitation from short-pulse, low-duty cycle diagnostic ultrasound
    • 10.1016/0301-5629(91)90125-G
    • Apfel R. Holland C. Gauging the likelihood of cavitation from short-pulse, low-duty cycle diagnostic ultrasound. Ultrasound Med. Biol. 1991, 17:179-185. 10.1016/0301-5629(91)90125-G, and ",".
    • (1991) Ultrasound Med. Biol. , vol.17 , pp. 179-185
    • Apfel, R.1    Holland, C.2
  • 40
    • 0020850399 scopus 로고
    • Ultrasonic shear wave properties of soft tissues and tissuelike materials
    • 10.1121/1.390158
    • Madsen E.L. Sathoff H. Zagzebski H.J. Ultrasonic shear wave properties of soft tissues and tissuelike materials. J. Acoust. Soc. Am. 1983, 74:1346-1355. 10.1121/1.390158, and ",".
    • (1983) J. Acoust. Soc. Am. , vol.74 , pp. 1346-1355
    • Madsen, E.L.1    Sathoff, H.2    Zagzebski, H.J.3
  • 41
    • 80053248907 scopus 로고    scopus 로고
    • Medical ultrasound: Imaging of soft tissue strain and elasticity
    • 10.1098/rsif.2011.0054
    • Wells P.N. Liang H.D. Medical ultrasound: Imaging of soft tissue strain and elasticity. J. R. Soc., Interface 2011, 8:1521-1549. 10.1098/rsif.2011.0054, and ",".
    • (2011) J. R. Soc., Interface , vol.8 , pp. 1521-1549
    • Wells, P.N.1    Liang, H.D.2
  • 42
    • 0028370884 scopus 로고
    • Static circumferential tangential modulus of human atherosclerotic tissue
    • 10.1016/0021-9290(94)90209-7
    • Loree H.M. Grodzinsky A.J. Park S.Y. Gibson L.J. Lee R.T. Static circumferential tangential modulus of human atherosclerotic tissue. J. Biomech. 1994, 27:195-204. 10.1016/0021-9290(94)90209-7, and ",".
    • (1994) J. Biomech. , vol.27 , pp. 195-204
    • Loree, H.M.1    Grodzinsky, A.J.2    Park, S.Y.3    Gibson, L.J.4    Lee, R.T.5
  • 43
    • 0033854109 scopus 로고    scopus 로고
    • On the viscoelastic character of liver tissue: Experiments and modelling of the linear behaviour
    • Liu Z. Bilston L. On the viscoelastic character of liver tissue: Experiments and modelling of the linear behaviour. Biorheology 2000, 37:191-200. and ",".
    • (2000) Biorheology , vol.37 , pp. 191-200
    • Liu, Z.1    Bilston, L.2
  • 44
    • 33747391598 scopus 로고    scopus 로고
    • A simple viscoelastic model for soft tissues in the frequency range 6-20 MHz
    • 10.1109/TUFFC.2006.1665097
    • Yang X. Church C. A simple viscoelastic model for soft tissues in the frequency range 6-20 MHz. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 2006, 53:1404-1411. 10.1109/TUFFC.2006.1665097, and ",".
    • (2006) IEEE Trans. Ultrason. Ferroelectr. Freq. Control , vol.53 , pp. 1404-1411
    • Yang, X.1    Church, C.2
  • 47
    • 0000456804 scopus 로고    scopus 로고
    • Nonlinear bubble dynamics
    • 10.1146/annurev.fluid.29.1.201
    • Feng Z. Leal L.G. Nonlinear bubble dynamics. Annu. Rev. Fluid Mech. 1997, 29:201-243. 10.1146/annurev.fluid.29.1.201, and ",".
    • (1997) Annu. Rev. Fluid Mech. , vol.29 , pp. 201-243
    • Feng, Z.1    Leal, L.G.2
  • 51
    • 0040526502 scopus 로고
    • Nonlinear acoustic response of a spherical bubble
    • 10.1016/S0022-460X(73)80166-X
    • Nayfeh A.H. Saric W.S. Nonlinear acoustic response of a spherical bubble. J. Sound Vib. 1973, 30:445-453. 10.1016/S0022-460X(73)80166-X, and ",".
    • (1973) J. Sound Vib. , vol.30 , pp. 445-453
    • Nayfeh, A.H.1    Saric, W.S.2
  • 52
    • 0020709043 scopus 로고
    • Steady-state oscillations of gas-bubbles in liquids - Explicit formulas for frequency-response curves
    • 10.1121/1.388994
    • Francescutto A. Nabergoj R. Steady-state oscillations of gas-bubbles in liquids - Explicit formulas for frequency-response curves. J. Acoust. Soc. Am. 1983, 73:457-460. 10.1121/1.388994, and ",".
    • (1983) J. Acoust. Soc. Am. , vol.73 , pp. 457-460
    • Francescutto, A.1    Nabergoj, R.2
  • 53
    • 0021228129 scopus 로고
    • A multiscale analysis of gas bubble oscillations: Transient and steady-state-solutions
    • Francescutto A. Nabergoj R. A multiscale analysis of gas bubble oscillations: Transient and steady-state-solutions. Acustica 1984, 56:12-22. and ",".
    • (1984) Acustica , vol.56 , pp. 12-22
    • Francescutto, A.1    Nabergoj, R.2
  • 54
    • 0016102930 scopus 로고
    • Nonlinear oscillations of gas-bubbles in liquids - Steady-state solutions
    • 10.1121/1.1903341
    • Prosperetti A. Nonlinear oscillations of gas-bubbles in liquids - Steady-state solutions. J. Acoust. Soc. Am. 1974, 56:878-885. 10.1121/1.1903341, ",".
    • (1974) J. Acoust. Soc. Am. , vol.56 , pp. 878-885
    • Prosperetti, A.1
  • 55
    • 0016495908 scopus 로고
    • Nonlinear oscillations of gas-bubbles in liquids - Transient solutions and connection between subharmonic signal and cavitation
    • 10.1121/1.380523
    • Prosperetti A. Nonlinear oscillations of gas-bubbles in liquids - Transient solutions and connection between subharmonic signal and cavitation. J. Acoust. Soc. Am. 1975, 57:810-821. 10.1121/1.380523, ",".
    • (1975) J. Acoust. Soc. Am. , vol.57 , pp. 810-821
    • Prosperetti, A.1
  • 56
    • 0001148412 scopus 로고
    • On musical air-bubbles and the sound of running water
    • 10.1080/14786443309462277
    • Minnaert M. On musical air-bubbles and the sound of running water. Philos. Mag. 1933, 16:235-248. 10.1080/14786443309462277, ",".
    • (1933) Philos. Mag. , vol.16 , pp. 235-248
    • Minnaert, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.