메뉴 건너뛰기




Volumn 50, Issue 8, 2010, Pages 758-776

Numerical simulation of bubble dynamics in a Phan-Thien-Tanner liquid: Non-linear shape and size oscillatory response under periodic pressure

Author keywords

Bubble dynamics; Finite elements flow calculations; Non linear oscillations; Phan Thien Tanner model; Ultrasound

Indexed keywords

BUBBLE DYNAMICS; FINITE ELEMENT; FLOW CALCULATIONS; NONLINEAR OSCILLATION; PHAN-THIEN-TANNER MODEL;

EID: 77955415935     PISSN: 0041624X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ultras.2010.03.002     Document Type: Article
Times cited : (24)

References (59)
  • 4
    • 85024825264 scopus 로고    scopus 로고
    • Deformation and failure modes of adhesively bonded elastic layers
    • A.J. Crosby, K.R. Shull, H. Lakrout, and C. Creton Deformation and failure modes of adhesively bonded elastic layers J. Appl. Phys. 88 2000 2956 2966
    • (2000) J. Appl. Phys. , vol.88 , pp. 2956-2966
    • Crosby, A.J.1    Shull, K.R.2    Lakrout, H.3    Creton, C.4
  • 5
    • 33744743264 scopus 로고    scopus 로고
    • Modeling on debonding dynamics of pressure-sensitive adhesives
    • DOI 10.1140/epje/i2005-10078-6
    • T. Yamaguchi, H. Morita, and M. Doi Modeling on debonding dynamics of pressure sensitive adhesives Eur. Phys. J. E20 2006 7 17 (Pubitemid 43823987)
    • (2006) European Physical Journal E , vol.20 , Issue.1 , pp. 7-17
    • Yamaguchi, T.1    Morita, H.2    Doi, M.3
  • 7
    • 3242703973 scopus 로고    scopus 로고
    • Dynamics of ultrasound-induced cavitation bubbles in non-Newtonian liquids and near a rigid boundary
    • E.A. Brujan, T. Ikeda, and Y. Matsumoto Dynamics of ultrasound-induced cavitation bubbles in non-Newtonian liquids and near a rigid boundary Phys. Fluids 16 2004 2402 2410
    • (2004) Phys. Fluids , vol.16 , pp. 2402-2410
    • Brujan, E.A.1    Ikeda, T.2    Matsumoto, Y.3
  • 8
    • 29244437541 scopus 로고    scopus 로고
    • A model for the dynamics of gas bubbles in soft tissue
    • DOI 10.1121/1.2118307
    • X. Yang, and C.C. Church A model for the dynamics of gas bubbles in soft tissue J. Acoust. Soc. Am. 118 2005 3595 3606 (Pubitemid 41820862)
    • (2005) Journal of the Acoustical Society of America , vol.118 , Issue.6 , pp. 3595-3606
    • Yang, X.1    Church, C.C.2
  • 9
    • 0019541043 scopus 로고
    • Acoustic pressure amplitude thresholds for rectified diffusion in gaseous microbubbles in biological tissue
    • P.A. Lewin, and L. Bjorno Acoustic pressure amplitude thresholds for rectified diffusion in gaseous microbubbles in biological tissue J. Acoust. Soc. Am. 69 1981 846 852
    • (1981) J. Acoust. Soc. Am. , vol.69 , pp. 846-852
    • Lewin, P.A.1    Bjorno, L.2
  • 10
    • 0020102411 scopus 로고
    • Acoustically induced shear stresses in the vicinity of microbubbles in tissue
    • P.A. Lewin, and L. Bjorno Acoustically induced shear stresses in the vicinity of microbubbles in tissue J. Acoust. Soc. Am. 71 1982 728 734
    • (1982) J. Acoust. Soc. Am. , vol.71 , pp. 728-734
    • Lewin, P.A.1    Bjorno, L.2
  • 11
    • 0036228969 scopus 로고    scopus 로고
    • A review of physical phenomena associated with ultrasonic contrast agents and illustrative clinical applications
    • C.X. Deng, and F.L. Lizzi A review of physical phenomena associated with ultrasonic contrast agents and illustrative clinical applications Ultrasound Med. Biol. 28 2002 277 286
    • (2002) Ultrasound Med. Biol. , vol.28 , pp. 277-286
    • Deng, C.X.1    Lizzi, F.L.2
  • 12
    • 0036793657 scopus 로고    scopus 로고
    • Radial oscillation of encapsulated microbubbles in viscoelastic liquids
    • D.B. Khismatullin, and A. Nadim Radial oscillation of encapsulated microbubbles in viscoelastic liquids Phys. Fluids 14 2002 3534 3557
    • (2002) Phys. Fluids , vol.14 , pp. 3534-3557
    • Khismatullin, D.B.1    Nadim, A.2
  • 13
    • 9644260877 scopus 로고    scopus 로고
    • A numerical investigation of the resonance of gas-filled microbubbles: Resonance dependence on acoustic pressure amplitude
    • C.A. MacDonald, V. Sboros, J. Gomatam, S.D. Pye, C.M. Moran, and W.N. McDicken A numerical investigation of the resonance of gas-filled microbubbles: resonance dependence on acoustic pressure amplitude Ultrasonics 43 2004 122 133
    • (2004) Ultrasonics , vol.43 , pp. 122-133
    • MacDonald, C.A.1    Sboros, V.2    Gomatam, J.3    Pye, S.D.4    Moran, C.M.5    McDicken, W.N.6
  • 14
    • 0033774479 scopus 로고    scopus 로고
    • Dynamics of gas bubbles in viscoelastic fluids. II. Nonlinear viscoelasticity
    • J.S. Allen, and R.A. Roy Dynamics of gas bubbles in viscoelastic fluids. II. Nonlinear viscoelasticity J. Acoust. Soc. Am. 108 2000 1640 1650
    • (2000) J. Acoust. Soc. Am. , vol.108 , pp. 1640-1650
    • Allen, J.S.1    Roy, R.A.2
  • 15
    • 20744451528 scopus 로고    scopus 로고
    • Bubble oscillation and inertial cavitation in viscoelastic fluids
    • J. Jiménez-Fernández, and A. Crespo Bubble oscillation and inertial cavitation in viscoelastic fluids Ultrasonics 43 2005 543 651
    • (2005) Ultrasonics , vol.43 , pp. 543-651
    • Jiménez-Fernández, J.1    Crespo, A.2
  • 16
    • 52749085251 scopus 로고    scopus 로고
    • Periodic and chaotic acoustic oscillations of a bubble gas immersed in an upper convective Maxwell fluid
    • J. Naude, and F. Méndez Periodic and chaotic acoustic oscillations of a bubble gas immersed in an upper convective Maxwell fluid J. Non-Newton. Fluid Mech. 155 2008 30 38
    • (2008) J. Non-Newton. Fluid Mech. , vol.155 , pp. 30-38
    • Naude, J.1    Méndez, F.2
  • 18
    • 0021217485 scopus 로고
    • Dynamics of nonspherical bubbles surrounded by viscoelastic liquid
    • S.K. Hara, and W.R. Schowalter Dynamics of nonspherical bubbles surrounded by viscoelastic liquid J. Non-Newton. Fluid Mech. 14 1984 249 264
    • (1984) J. Non-Newton. Fluid Mech. , vol.14 , pp. 249-264
    • Hara, S.K.1    Schowalter, W.R.2
  • 19
    • 84953649000 scopus 로고
    • The rheology of phase growth in elastic liquids
    • J.R. Street The rheology of phase growth in elastic liquids Trans. Soc. Rheol. 12 1968 103 131
    • (1968) Trans. Soc. Rheol. , vol.12 , pp. 103-131
    • Street, J.R.1
  • 20
    • 0017685772 scopus 로고
    • Elongational flow behavior of viscoelastic liquids: Part I. Modeling of bubble collapse
    • G. Pearson, and S. Middleman Elongational flow behavior of viscoelastic liquids: part I. Modeling of bubble collapse AIChE J. 23 1977 714 725
    • (1977) AIChE J. , vol.23 , pp. 714-725
    • Pearson, G.1    Middleman, S.2
  • 22
    • 0014786744 scopus 로고
    • Collapse of spherical cavities in viscoelastic fluids
    • H.S. Fogler, and J.D. Goddard Collapse of spherical cavities in viscoelastic fluids Phys. Fluids 13 1970 1135 1141
    • (1970) Phys. Fluids , vol.13 , pp. 1135-1141
    • Fogler, H.S.1    Goddard, J.D.2
  • 23
    • 0017436849 scopus 로고
    • Effect of polymer viscoelasticity on the initial growth of a vapor bubble from gas nuclei
    • R.Y. Ting Effect of polymer viscoelasticity on the initial growth of a vapor bubble from gas nuclei Phys. Fluids 20 1977 1427 1431
    • (1977) Phys. Fluids , vol.20 , pp. 1427-1431
    • Ting, R.Y.1
  • 24
    • 0019045265 scopus 로고
    • Bubble oscillations of large amplitude
    • J.B. Keller, and M.J. Miksis Bubble oscillations of large amplitude J. Acoust. Soc. Am. 68 1980 628 633
    • (1980) J. Acoust. Soc. Am. , vol.68 , pp. 628-633
    • Keller, J.B.1    Miksis, M.J.2
  • 25
    • 0001487298 scopus 로고    scopus 로고
    • The dynamics of vapor bubbles in acoustic pressure fields
    • Y. Hao, and A. Prosperetti The dynamics of vapor bubbles in acoustic pressure fields Phys. Fluids 11 1999 2008 2019
    • (1999) Phys. Fluids , vol.11 , pp. 2008-2019
    • Hao, Y.1    Prosperetti, A.2
  • 26
    • 0001533173 scopus 로고    scopus 로고
    • The effect of viscosity on the spherical stability of oscillating gas bubbles
    • Y. Hao, and A. Prosperetti The effect of viscosity on the spherical stability of oscillating gas bubbles Phys. Fluids 11 1999 1309 1317
    • (1999) Phys. Fluids , vol.11 , pp. 1309-1317
    • Hao, Y.1    Prosperetti, A.2
  • 27
    • 0020704332 scopus 로고
    • Nonlinear oscillations of inviscid drops and bubbles
    • J.A. Tsamopoulos, and R.A. Brown Nonlinear oscillations of inviscid drops and bubbles J. Fluid Mech. 127 1983 519 537
    • (1983) J. Fluid Mech. , vol.127 , pp. 519-537
    • Tsamopoulos, J.A.1    Brown, R.A.2
  • 28
    • 0027393731 scopus 로고
    • Tsamopoulos, Bjerknes forces between two bubbles 2. Response to an oscillatory pressure
    • N.A. Pelekasis, and J.A. Tsamopoulos Tsamopoulos, Bjerknes forces between two bubbles 2. Response to an oscillatory pressure J. Fluid Mech. 254 1993 501 527
    • (1993) J. Fluid Mech. , vol.254 , pp. 501-527
    • Pelekasis, N.A.1    Tsamopoulos, J.A.2
  • 29
    • 33947129266 scopus 로고    scopus 로고
    • Numerical simulations of the aspherical collapse of laser and acoustically generated bubbles
    • K. Tsiglifis, and N.A. Pelekasis Numerical simulations of the aspherical collapse of laser and acoustically generated bubbles Ultrason. Sonochem. 14 2007 456 469
    • (2007) Ultrason. Sonochem. , vol.14 , pp. 456-469
    • Tsiglifis, K.1    Pelekasis, N.A.2
  • 30
    • 44949107329 scopus 로고    scopus 로고
    • Nonlinear radial oscillations of encapsulated microbubbles subject to ultrasound the effect of membrane constitutive law
    • K. Tsiglifis, and N.A. Pelekasis Nonlinear radial oscillations of encapsulated microbubbles subject to ultrasound the effect of membrane constitutive law J. Acoust. Soc. Am. 123 2008 4059 4070
    • (2008) J. Acoust. Soc. Am. , vol.123 , pp. 4059-4070
    • Tsiglifis, K.1    Pelekasis, N.A.2
  • 32
    • 51449099788 scopus 로고    scopus 로고
    • Modeling the effect of cell-associated polymeric fluid layers on force spectroscopy measurements part I: Model development
    • F.M. Coldren, K. Foteinopoulou, D.L. Carroll, and M. Laso Modeling the effect of cell-associated polymeric fluid layers on force spectroscopy measurements part I: model development Langmuir 24 2008 9575 9587
    • (2008) Langmuir , vol.24 , pp. 9575-9587
    • Coldren, F.M.1    Foteinopoulou, K.2    Carroll, D.L.3    Laso, M.4
  • 33
    • 51449122816 scopus 로고    scopus 로고
    • Modeling the effect of cell-associated polymeric fluid layers on force spectroscopy measurements part II: Experimental results and comparison with model predictions
    • F.M. Coldren, K. Foteinopoulou, W.M.H. Verbeeten, D.L. Carroll, and M. Laso Modeling the effect of cell-associated polymeric fluid layers on force spectroscopy measurements part II: experimental results and comparison with model predictions Langmuir 24 2008 9588 9597
    • (2008) Langmuir , vol.24 , pp. 9588-9597
    • Coldren, F.M.1    Foteinopoulou, K.2    Verbeeten, W.M.H.3    Carroll, D.L.4    Laso, M.5
  • 34
    • 0028524136 scopus 로고
    • Collapse of spherical bubbles in Maxwell fluids
    • C. Kim Collapse of spherical bubbles in Maxwell fluids J. Non-Newton. Fluid Mech. 55 1994 37 58
    • (1994) J. Non-Newton. Fluid Mech. , vol.55 , pp. 37-58
    • Kim, C.1
  • 35
    • 0345017138 scopus 로고    scopus 로고
    • A quasi-elliptic transformation for moving boundary problems with large anisotropic transformations
    • Y. Dimakopoulos, and J. Tsamopoulos A quasi-elliptic transformation for moving boundary problems with large anisotropic transformations J. Comput. Phys. 192 2003 494 522
    • (2003) J. Comput. Phys. , vol.192 , pp. 494-522
    • Dimakopoulos, Y.1    Tsamopoulos, J.2
  • 36
    • 0037753269 scopus 로고    scopus 로고
    • Transient displacement of a Newtonian fluid by air in straight or suddenly constricted tubes
    • DOI 10.1063/1.1578634
    • Y. Dimakopoulos, and J. Tsamopoulos Transient displacement of a Newtonian fluid by air in straight or suddenly constricted tubes Phys. Fluids 15 2003 1973 1991 (Pubitemid 37065396)
    • (2003) Physics of Fluids , vol.15 , Issue.7 , pp. 1973-1991
    • Dimakopoulos, Y.1    Tsamopoulos, J.2
  • 40
    • 1842524073 scopus 로고    scopus 로고
    • Modelling the biaxial elongational deformation of soft solids
    • S. Nasseri, L. Bilston, B. Fasheun, and R. Tanner Modelling the biaxial elongational deformation of soft solids Rheol. Acta 43 2004 68 79
    • (2004) Rheol. Acta , vol.43 , pp. 68-79
    • Nasseri, S.1    Bilston, L.2    Fasheun, B.3    Tanner, R.4
  • 41
    • 47149106394 scopus 로고    scopus 로고
    • The Phan-Thien and Tanner model applied to thin film spherical coordinates: Applications for lubrication of hip joint replacement
    • J. Tichy, and B. Bou-Said The Phan-Thien and Tanner model applied to thin film spherical coordinates: applications for lubrication of hip joint replacement J. Biomech. Eng. 130 2008 021012
    • (2008) J. Biomech. Eng. , vol.130 , pp. 021012
    • Tichy, J.1    Bou-Said, B.2
  • 44
    • 0023147378 scopus 로고
    • Numerical study of axisymmetric, unsteady free-boundary problems at finite Reynolds number. I. Finite-difference scheme and its application to the deformation of a bubble in uniaxial straining glow
    • I.S. Kang, and L.G. Leal Numerical study of axisymmetric, unsteady free-boundary problems at finite Reynolds number. I. Finite-difference scheme and its application to the deformation of a bubble in uniaxial straining glow Phys. Fluids 30 1987 1929 1940
    • (1987) Phys. Fluids , vol.30 , pp. 1929-1940
    • Kang, I.S.1    Leal, L.G.2
  • 45
    • 28144460688 scopus 로고
    • Discretization of free surface flows and other moving boundary problems
    • K.N. Christodoulou, and L.E. Scriven Discretization of free surface flows and other moving boundary problems J. Comput. Phys. 99 1992 39 55
    • (1992) J. Comput. Phys. , vol.99 , pp. 39-55
    • Christodoulou, K.N.1    Scriven, L.E.2
  • 46
    • 0026846219 scopus 로고
    • Boundary-conforming mapping applied to computations of highly deformed solidification interfaces
    • K. Tsiveriotis, and R.A. Brown Boundary-conforming mapping applied to computations of highly deformed solidification interfaces Int. J. Numer. Methods Fluids 14 1992 981 1003
    • (1992) Int. J. Numer. Methods Fluids , vol.14 , pp. 981-1003
    • Tsiveriotis, K.1    Brown, R.A.2
  • 47
    • 2142705253 scopus 로고    scopus 로고
    • On the gas-penetration in straight tubes completely filled with viscoelastic fluid
    • Y. Dimakopoulos, and J. Tsamopoulos On the gas-penetration in straight tubes completely filled with viscoelastic fluid J. Non-Newton. Fluid Mech. 117 2004 117 139
    • (2004) J. Non-Newton. Fluid Mech. , vol.117 , pp. 117-139
    • Dimakopoulos, Y.1    Tsamopoulos, J.2
  • 48
    • 64649085208 scopus 로고    scopus 로고
    • On the transient coating of a straight tube with a viscoelastic material
    • Y. Dimakopoulos, and J. Tsamopoulos On the transient coating of a straight tube with a viscoelastic material J. Non-Newton. Fluid Mech. 159 2009 95 114
    • (2009) J. Non-Newton. Fluid Mech. , vol.159 , pp. 95-114
    • Dimakopoulos, Y.1    Tsamopoulos, J.2
  • 49
    • 59149104835 scopus 로고    scopus 로고
    • On the elliptic mesh generation in domains containing multiple inclusions and undergoing large deformations
    • N. Chatzidai, A. Giannousakis, Y. Dimakopoulos, and J. Tsamopoulos On the elliptic mesh generation in domains containing multiple inclusions and undergoing large deformations J. Comput. Phys. 228 2009 1980 2011
    • (2009) J. Comput. Phys. , vol.228 , pp. 1980-2011
    • Chatzidai, N.1    Giannousakis, A.2    Dimakopoulos, Y.3    Tsamopoulos, J.4
  • 50
    • 0037203408 scopus 로고    scopus 로고
    • Free surface flows of polymer solutions with models based on the conformation tensor
    • M. Pasquali, and L. E Scriven Free surface flows of polymer solutions with models based on the conformation tensor J. Non-Newton. Fluid Mech. 108 2002 363 409
    • (2002) J. Non-Newton. Fluid Mech. , vol.108 , pp. 363-409
    • Pasquali, M.1    Scriven, L.E.2
  • 52
    • 33745618468 scopus 로고    scopus 로고
    • Numerical simulation of multiple bubbles growing in a Newtonian liquid filament undergoing stretching
    • K. Foteinopoulou, V.G. Mavrantzas, Y. Dimakopoulos, and J. Tsamopoulos Numerical simulation of multiple bubbles growing in a Newtonian liquid filament undergoing stretching Phys. Fluids 18 2006 042106
    • (2006) Phys. Fluids , vol.18 , pp. 042106
    • Foteinopoulou, K.1    Mavrantzas, V.G.2    Dimakopoulos, Y.3    Tsamopoulos, J.4
  • 53
    • 7744242502 scopus 로고    scopus 로고
    • Numerical simulation of bubble growth in Newtonian and viscoelastic filaments undergoing stretching
    • K. Foteinopoulou, V.G. Mavrantzas, and J. Tsamopoulos Numerical simulation of bubble growth in Newtonian and viscoelastic filaments undergoing stretching J. Non-Newton. Fluid Mech. 122 2004 177 200
    • (2004) J. Non-Newton. Fluid Mech. , vol.122 , pp. 177-200
    • Foteinopoulou, K.1    Mavrantzas, V.G.2    Tsamopoulos, J.3
  • 54
    • 0029379966 scopus 로고
    • A new mixed finite element method for computing viscoelastic flows
    • R. Guénette, and M. Fortin A new mixed finite element method for computing viscoelastic flows J. Non-Newton. Fluid Mech. 60 1995 27 52
    • (1995) J. Non-Newton. Fluid Mech. , vol.60 , pp. 27-52
    • Guénette, R.1    Fortin, M.2
  • 55
    • 0029142183 scopus 로고
    • A new mixed finite element method for viscoelastic flows governed by differential constitutive equations
    • M.J. Szady, T.R. Salamon, A.W. Liu, R.C. Armstrong, and R.A. Brown A new mixed finite element method for viscoelastic flows governed by differential constitutive equations J. Non-Newton. Fluid Mech. 59 1995 215 243
    • (1995) J. Non-Newton. Fluid Mech. , vol.59 , pp. 215-243
    • Szady, M.J.1    Salamon, T.R.2    Liu, A.W.3    Armstrong, R.C.4    Brown, R.A.5
  • 56
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • A.N. Brooks, and T.J.R. Hughes Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Eng. 32 1982 199 259
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 57
    • 3242756986 scopus 로고    scopus 로고
    • A new convenient way of imposing open-flow boundary conditions in two- and three-dimensional viscoelastic flows
    • X. Xie, and M. Pasquali A new convenient way of imposing open-flow boundary conditions in two- and three-dimensional viscoelastic flows J. Non-Newton. Fluid Mech. 122 2004 159 176
    • (2004) J. Non-Newton. Fluid Mech. , vol.122 , pp. 159-176
    • Xie, X.1    Pasquali, M.2
  • 58
    • 33751346401 scopus 로고    scopus 로고
    • Ultrasound and matter - Physical interactions
    • V.F. Humphrey Ultrasound and matter - physical interactions Prog. Biophys. Mol. Biol. 93 2007 195 211
    • (2007) Prog. Biophys. Mol. Biol. , vol.93 , pp. 195-211
    • Humphrey, V.F.1
  • 59
    • 6344291546 scopus 로고    scopus 로고
    • Asymmetric oscillation of cavitation bubbles in a microvessel and its implications upon mechanisms of clinical vessel injury in shock-wave lithotripsy
    • Y.T. Hu, S. Qin, T. Hu, K.W. Ferrara, and Q. Jiang Asymmetric oscillation of cavitation bubbles in a microvessel and its implications upon mechanisms of clinical vessel injury in shock-wave lithotripsy Int. J. Non-Linear Mech. 40 2005 341 350
    • (2005) Int. J. Non-Linear Mech. , vol.40 , pp. 341-350
    • Hu, Y.T.1    Qin, S.2    Hu, T.3    Ferrara, K.W.4    Jiang, Q.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.