메뉴 건너뛰기




Volumn 20, Issue 12, 2008, Pages

Turbulent flow in pipes and channels as cross-stream "inverse cascades" of vorticity

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; REYNOLDS NUMBER; TURBULENCE; VORTEX FLOW;

EID: 58249085992     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3013635     Document Type: Article
Times cited : (72)

References (73)
  • 2
    • 84943471869 scopus 로고
    • "Über Integrale der hydrodynamischen Gleichungen welche den Wirbelbewegungen entsprechen"
    • JRMAA80075-4102
    • H. Helmholtz, "Über Integrale der hydrodynamischen Gleichungen welche den Wirbelbewegungen entsprechen," J. Reine Angew. Math. JRMAA80075-4102 55, 25 (1858).
    • (1858) J. Reine Angew. Math. , vol.55 , pp. 25
    • Helmholtz, H.1
  • 4
    • 0000297401 scopus 로고
    • "The transport of vorticity and heat through fluids in turbulent motion"
    • PRLAAZ0950-120710.1098/rspa.1932.0061
    • G. I. Taylor, "The transport of vorticity and heat through fluids in turbulent motion," Proc. R. Soc. London, Ser. A PRLAAZ0950-120710.1098/rspa.1932.0061 135, 685 (1932).
    • (1932) Proc. R. Soc. London, Ser. A , vol.135 , pp. 685
    • Taylor, G.I.1
  • 5
    • 0039052259 scopus 로고
    • "Velocity-vorticity correlations related to the gradients of the Reynolds stresses in parallel turbulent wall flows"
    • PFADEB0899-821310.1063/1.857354
    • J. C. Klewicki, "Velocity-vorticity correlations related to the gradients of the Reynolds stresses in parallel turbulent wall flows," Phys. Fluids A PFADEB0899-821310.1063/1.857354 1, 1285 (1989).
    • (1989) Phys. Fluids A , vol.1 , pp. 285
    • Klewicki, J.C.1
  • 6
    • 0000132405 scopus 로고
    • "Vortical motion contributions to stress transport in turbulent boundary layers"
    • PHFLE61070-663110.1063/1.868082
    • J. C. Klewicki, J. Murray, and R. E. Falco, "Vortical motion contributions to stress transport in turbulent boundary layers," Phys. Fluids PHFLE61070-663110.1063/1.868082 6, 277 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 277
    • Klewicki, J.C.1    Murray, J.2    Falco, R.E.3
  • 7
    • 33845996603 scopus 로고    scopus 로고
    • "Statistical structure of turbulent-boundary layer velocity-vorticity products at high and low Reynolds numbers"
    • JFLSA70022-112010.1017/S0022112006002771
    • P. J. A. Priyadarshana, J. C. Klewicki, S. Treat, and J. F. Foss, "Statistical structure of turbulent-boundary layer velocity-vorticity products at high and low Reynolds numbers," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006002771 570, 307 (2007).
    • (2007) J. Fluid Mech. , vol.570 , pp. 307
    • Priyadarshana, P.J.A.1    Klewicki, J.C.2    Treat, S.3    Foss, J.F.4
  • 8
    • 33847201135 scopus 로고    scopus 로고
    • "A physical model of the turbulent boundary layer consonant with mean momentum balance structure"
    • PTRMAD0962-8428
    • J. Klewicki, P. Fife, T. Wei, and P. McMurty, "A physical model of the turbulent boundary layer consonant with mean momentum balance structure," Philos. Trans. R. Soc. London, Ser. A PTRMAD0962-8428 365, 823 (2007).
    • (2007) Philos. Trans. R. Soc. London, Ser. A , vol.365 , pp. 823
    • Klewicki, J.1    Fife, P.2    Wei, T.3    McMurty, P.4
  • 9
    • 0025178521 scopus 로고
    • "Turbulent vorticity transport in three dimensions"
    • TCFDEP0935-4964
    • P. S. Bernard, "Turbulent vorticity transport in three dimensions," Theor. Comput. Fluid Dyn. TCFDEP0935-4964 2, 165 (1990).
    • (1990) Theor. Comput. Fluid Dyn. , vol.2 , pp. 165
    • Bernard, P.S.1
  • 10
    • 36049053098 scopus 로고
    • "Considerations on the flow of superfluid helium"
    • RMPHAT0034-686110.1103/RevModPhys.38.298
    • P. W. Anderson, "Considerations on the flow of superfluid helium," Rev. Mod. Phys. RMPHAT0034-686110.1103/RevModPhys.38.298 38, 298 (1966).
    • (1966) Rev. Mod. Phys. , vol.38 , pp. 298
    • Anderson, P.W.1
  • 11
    • 0007038516 scopus 로고
    • "Energy dissipation theorem and detailed Josephson equation for ideal incompressible fluids"
    • PLRAAN1050-294710.1103/PhysRevA.1.332
    • E. R. Huggins, "Energy dissipation theorem and detailed Josephson equation for ideal incompressible fluids," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.1.332 1, 332 (1970).
    • (1970) Phys. Rev. A , vol.1 , pp. 332
    • Huggins, E.R.1
  • 12
    • 0039173237 scopus 로고
    • 4He "
    • JLTPAC0022-229110.1007/BF00692045
    • 4He, " J. Low Temp. Phys. JLTPAC0022-229110.1007/BF00692045 93, 1003 (1993).
    • (1993) J. Low Temp. Phys. , vol.93 , pp. 1003
    • Zimmermann Jr., W.1
  • 13
    • 0032395941 scopus 로고    scopus 로고
    • "The role of the Josephson-Anderson equation in superfluid helium"
    • RMPHAT0034-686110.1103/RevModPhys.70.641
    • R. E. Packard, "The role of the Josephson-Anderson equation in superfluid helium," Rev. Mod. Phys. RMPHAT0034-686110.1103/ RevModPhys.70.641 70, 641 (1998).
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 641
    • Packard, R.E.1
  • 14
    • 0028500832 scopus 로고
    • "Vortex currents in turbulent superfluid and classical fluid channel flow, the Magnus effect, and Goldstone boson fields"
    • JLTPAC0022-229110.1007/BF00754743
    • E. R. Huggins, "Vortex currents in turbulent superfluid and classical fluid channel flow, the Magnus effect, and Goldstone boson fields," J. Low Temp. Phys. JLTPAC0022-229110.1007/BF00754743 96, 317 (1994).
    • (1994) J. Low Temp. Phys. , vol.96 , pp. 317
    • Huggins, E.R.1
  • 15
    • 0039070501 scopus 로고
    • "Vorticity production at a solid boundary"
    • AMREAD0003-6900
    • F. A. Lyman, "Vorticity production at a solid boundary," Appl. Mech. Rev. AMREAD0003-6900 43, 157 (1990).
    • (1990) Appl. Mech. Rev. , vol.43 , pp. 157
    • Lyman, F.A.1
  • 16
    • 77956758359 scopus 로고    scopus 로고
    • "Vorticity dynamics on boundaries"
    • AAMCAY0065-2156
    • J. Z. Wu and J. M. Wu, "Vorticity dynamics on boundaries," Adv. Appl. Mech. AAMCAY0065-2156 32, 119 (1996).
    • (1996) Adv. Appl. Mech. , vol.32 , pp. 119
    • Wu, J.Z.1    Wu, J.M.2
  • 17
    • 0001203372 scopus 로고    scopus 로고
    • "Reynolds stress analysis of EMHD-controlled wall turbulence. I. Streamwise forcing"
    • PHFLE61070-663110.1063/1.869210
    • C. H. Crawford and G. E. Karniadakis, "Reynolds stress analysis of EMHD-controlled wall turbulence. I. Streamwise forcing," Phys. Fluids PHFLE61070-663110.1063/1.869210 9, 788 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 788
    • Crawford, C.H.1    Karniadakis, G.E.2
  • 18
    • 29144512754 scopus 로고    scopus 로고
    • "New answers on the interaction between polymers and vortices in turbulent flows"
    • FTCOF91386-618410.1007/s10494-005-9002-6
    • Y. Dubief, V. E. Terrapon, C. M. White, E. S. G. Shaqfeh, P. Moin, and S. K. Lele, "New answers on the interaction between polymers and vortices in turbulent flows," Flow, Turbul. Combust. FTCOF91386-618410.1007/s10494-005-9002-6 74, 311 (2005).
    • (2005) Flow, Turbul. Combust. , vol.74 , pp. 311
    • Dubief, Y.1    Terrapon, V.E.2    White, C.M.3    Shaqfeh, E.S.G.4    Moin, P.5    Lele, S.K.6
  • 19
    • 41749096099 scopus 로고    scopus 로고
    • "Dynamics of hairpin vortices and polymer-induced turbulent drag reduction"
    • PRLTAO0031-900710.1103/PhysRevLett.100.134504
    • K. Kim, R. J. Adrian, S. Balachandar, and R. Sureshkumar, "Dynamics of hairpin vortices and polymer-induced turbulent drag reduction," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.100.134504 100, 134504 (2008).
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 134504
    • Kim, K.1    Adrian, R.J.2    Balachandar, S.3    Sureshkumar, R.4
  • 20
    • 58249093055 scopus 로고    scopus 로고
    • Except possibly at isolated points where σ = 0, in which case a normal component is permitted
    • Except possibly at isolated points where σ = 0, in which case a normal component is permitted.
  • 21
    • 58249094218 scopus 로고    scopus 로고
    • note
    • tu + ν∇ × ω - f). However, Temam (Refs.) has proved that the tangential components of the equation of motion at the boundary emerge as necessary and sufficient "compatibility conditions" for a solution to remain smooth up to the wall.
  • 22
    • 0001810388 scopus 로고
    • "Introduction: Boundary layer theory"
    • in edited by L. Rosenhead (Oxford University Press, Oxford)
    • M. J. Lighthill, "Introduction: Boundary layer theory," in Laminar Boundary Theory, edited by L. Rosenhead (Oxford University Press, Oxford, 1963), pp. 46-113.
    • (1963) Laminar Boundary Theory , pp. 46-113
    • Lighthill, M.J.1
  • 23
    • 0000631116 scopus 로고
    • "The generation and decay of vorticity"
    • GAFDD30309-192910.1080/03091928408230368
    • B. R. Morton, "The generation and decay of vorticity," Geophys. Astrophys. Fluid Dyn. GAFDD30309-192910.1080/03091928408230368 28, 277 (1984).
    • (1984) Geophys. Astrophys. Fluid Dyn. , vol.28 , pp. 277
    • Morton, B.R.1
  • 24
    • 21344442045 scopus 로고    scopus 로고
    • "Review of wall turbulence as described by composite expansions"
    • AMREAD0003-690010.1115/1.1840903
    • R. L. Panton, "Review of wall turbulence as described by composite expansions," Appl. Mech. Rev. AMREAD0003-690010.1115/1.1840903 58, 1 (2005).
    • (2005) Appl. Mech. Rev. , vol.58 , pp. 1
    • Panton, R.L.1
  • 25
    • 13444267503 scopus 로고    scopus 로고
    • "Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows"
    • JFLSA70022-112010.1017/S0022112004001958
    • T. Wei, P. Fife, J. Klewicki, and P. McMurty, "Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004001958 522, 303 (2005).
    • (2005) J. Fluid Mech. , vol.522 , pp. 303
    • Wei, T.1    Fife, P.2    Klewicki, J.3    McMurty, P.4
  • 26
    • 33748421511 scopus 로고    scopus 로고
    • "Multiscaling in the presence of indeterminacy: Wall-induced turbulence"
    • MMSUBT1540-345910.1137/040611173
    • P. Fife, J. Klewicki, P. McMurty, and T. Wei, "Multiscaling in the presence of indeterminacy: Wall-induced turbulence," Multiscale Model. Simul. MMSUBT1540-345910.1137/040611173 4, 936 (2005).
    • (2005) Multiscale Model. Simul. , vol.4 , pp. 936
    • Fife, P.1    Klewicki, J.2    McMurty, P.3    Wei, T.4
  • 27
    • 0019549805 scopus 로고
    • "Experimental evidence for the existence of the mesolayer in turbulent systems"
    • JFLSA70022-112010.1017/S0022112081003108
    • R. R. Long and T.-C. Chen, "Experimental evidence for the existence of the mesolayer in turbulent systems," J. Fluid Mech. JFLSA70022-112010.1017/S0022112081003108 105, 19 (1981).
    • (1981) J. Fluid Mech. , vol.105 , pp. 19
    • Long, R.R.1    Chen, T.-C.2
  • 28
    • 0002626736 scopus 로고
    • "A unified view of the origin and morphology of the turbulent boundary layer structure"
    • in edited by H. W. Liepmann and R. Narasimha (Springer-Verlag, Berlin)
    • K. R. Sreenivasan, "A unified view of the origin and morphology of the turbulent boundary layer structure," in Turbulence Management and Relaminarisation, edited by H. W. Liepmann and R. Narasimha (Springer-Verlag, Berlin, 1987), pp. 37-61.
    • (1987) Turbulence Management and Relaminarisation , pp. 37-61
    • Sreenivasan, K.R.1
  • 29
    • 0030655654 scopus 로고    scopus 로고
    • "The persistence of viscous effects in the overlap region, and the mean velocity in turbulent pipe and channel flows"
    • in edited by R. Panton (Computational Mechanics, Southampton)
    • K. R. Sreenivasan and A. Sahay, "The persistence of viscous effects in the overlap region, and the mean velocity in turbulent pipe and channel flows," in Self-Sustaining Mechanisms of Wall Turbulence, edited by R. Panton (Computational Mechanics, Southampton, 1997), pp. 253-272.
    • (1997) Self-Sustaining Mechanisms of Wall Turbulence , pp. 253-272
    • Sreenivasan, K.R.1    Sahay, A.2
  • 30
    • 0035398145 scopus 로고    scopus 로고
    • "A dynamic subfilter-scale model for plane parallel flows"
    • PHFLE61070-663110.1063/1.1378038
    • B. Dubrulle, J. P. Lavalle, S. Nazarenko, and N. K.-R. Kevlahan, "A dynamic subfilter-scale model for plane parallel flows," Phys. Fluids PHFLE61070-663110.1063/1.1378038 13, 2045 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 2045
    • Dubrulle, B.1    Lavalle, J.P.2    Nazarenko, S.3    Kevlahan, N.K.-R.4
  • 32
    • 0019372301 scopus 로고
    • "New aspects of turbulent structure"
    • JFLSA70022-112010.1017/S0022112081001791
    • M. R. Head and P. Bandyopadhyay, "New aspects of turbulent structure," J. Fluid Mech. JFLSA70022-112010.1017/S0022112081001791 107, 297 (1981).
    • (1981) J. Fluid Mech. , vol.107 , pp. 297
    • Head, M.R.1    Bandyopadhyay, P.2
  • 33
    • 0022269105 scopus 로고
    • "The structure of the vorticity field in turbulent channel flow. I. Analysis of instantaneous fields and statistical correlations"
    • JFLSA70022-112010.1017/S0022112085001896
    • P. Moin and J. Kim, "The structure of the vorticity field in turbulent channel flow. I. Analysis of instantaneous fields and statistical correlations," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112085001896 155, 441 (1985).
    • (1985) J. Fluid Mech. , vol.155 , pp. 441
    • Moin, P.1    Kim, J.2
  • 34
    • 0022925668 scopus 로고
    • "The structure of the vorticity field in turbulent channel flow. II. Study of ensemble-averaged fields"
    • JFLSA70022-112010.1017/S0022112086002070
    • J. Kim and P. Moin, "The structure of the vorticity field in turbulent channel flow. II. Study of ensemble-averaged fields," J. Fluid Mech. JFLSA70022-112010.1017/S0022112086002070 162, 339 (1986).
    • (1986) J. Fluid Mech. , vol.162 , pp. 339
    • Kim, J.1    Moin, P.2
  • 35
    • 0023834837 scopus 로고
    • "Coherent structures in turbulent flows"
    • PAESD60376-042110.1016/0376-0421(88)90001-2
    • H. E. Fiedler, "Coherent structures in turbulent flows," Prog. Aerosp. Sci. PAESD60376-042110.1016/0376-0421(88)90001-2 25, 231 (1988).
    • (1988) Prog. Aerosp. Sci. , vol.25 , pp. 231
    • Fiedler, H.E.1
  • 36
    • 0000923277 scopus 로고
    • "Coherent motions in turbulent boundary layers"
    • ARVFA30066-4189
    • S. K. Robinson, "Coherent motions in turbulent boundary layers," Annu. Rev. Fluid Mech. ARVFA30066-4189 23, 601 (1991).
    • (1991) Annu. Rev. Fluid Mech. , vol.23 , pp. 601
    • Robinson, S.K.1
  • 37
    • 34248154767 scopus 로고    scopus 로고
    • "Hairpin vortex organization in wall turbulence"
    • PHFLE61070-663110.1063/1.2717527
    • R. J. Adrian, "Hairpin vortex organization in wall turbulence," Phys. Fluids PHFLE61070-663110.1063/1.2717527 19, 041301 (2007).
    • (2007) Phys. Fluids , vol.19 , pp. 041301
    • Adrian, R.J.1
  • 38
    • 0020138576 scopus 로고
    • "On the mechanism of wall turbulence"
    • JFLSA70022-112010.1017/S0022112082001311
    • A. E. Perry and M. S. Chong, "On the mechanism of wall turbulence," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112082001311 119, 173 (1982).
    • (1982) J. Fluid Mech. , vol.119 , pp. 173
    • Perry, A.E.1    Chong, M.S.2
  • 39
    • 0022697423 scopus 로고
    • "A theoretical and experimental study of wall turbulence"
    • JFLSA70022-112010.1017/S002211208600304X
    • A. E. Perry, S. Henbest, and M. S. Chong, "A theoretical and experimental study of wall turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S002211208600304X 165, 163 (1986).
    • (1986) J. Fluid Mech. , vol.165 , pp. 163
    • Perry, A.E.1    Henbest, S.2    Chong, M.S.3
  • 40
    • 0029376435 scopus 로고
    • "A wall-wake model for the turbulence structure of boundary layers. Extension of the attached eddy hypothesis"
    • JFLSA70022-112010.1017/S0022112095003351
    • A. E. Perry and I. Marusic, "A wall-wake model for the turbulence structure of boundary layers. I. Extension of the attached eddy hypothesis," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112095003351 298, 361 (1995).
    • (1995) J. Fluid Mech. , vol.298 , pp. 361
    • Perry, A.E.1    Marusic, I.2
  • 41
    • 0035275420 scopus 로고    scopus 로고
    • "On the role of large-scale structures in wall turbulence"
    • PHFLE61070-663110.1063/1.1343480
    • I. Marusic, "On the role of large-scale structures in wall turbulence," Phys. Fluids PHFLE61070-663110.1063/1.1343480 13, 735 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 735
    • Marusic, I.1
  • 42
    • 33847184562 scopus 로고    scopus 로고
    • "Some predictions of the attached eddy model for a high Reynolds number boundary layer"
    • PTRMAD0962-842810.1098/rsta.2006.1950
    • T. B. Nickels, I. Marusic, S. Hafez, N. Hutchins, and M. S. Chong, "Some predictions of the attached eddy model for a high Reynolds number boundary layer," Philos. Trans. R. Soc. London, Ser. A PTRMAD0962-842810.1098/rsta.2006.1950 365, 807 (2007).
    • (2007) Philos. Trans. R. Soc. London, Ser. A , vol.365 , pp. 807
    • Nickels, T.B.1    Marusic, I.2    Hafez, S.3    Hutchins, N.4    Chong, M.S.5
  • 44
    • 0035648322 scopus 로고    scopus 로고
    • "Spanwise growth of vortex structure in wall turbulence"
    • ZZZZZZ1226-4865
    • R. J. Adrian, S. Balachandar, and Z.-C. Liu, "Spanwise growth of vortex structure in wall turbulence," KSME Int. J. ZZZZZZ1226-4865 15, 1741 (2001).
    • (2001) KSME Int. J. , vol.15 , pp. 1741
    • Adrian, R.J.1    Balachandar, S.2    Liu, Z.-C.3
  • 45
    • 0141787987 scopus 로고    scopus 로고
    • "Spanwise structure and scale growth in turbulent boundary layers"
    • JFLSA70022-112010.1017/S0022112003005251
    • C. D. Tomkins and R. J. Adrian, "Spanwise structure and scale growth in turbulent boundary layers," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003005251 490, 37 (2003).
    • (2003) Fluid Mech. , vol.490 , pp. 37
    • Tomkins, C.D.1    Adrian, R.J.2
  • 48
    • 58249087973 scopus 로고
    • "The two fluid model for helium II"
    • discussion remark on C. J. Gorter [Nuovo Cimento, Suppl.NUCUAF0550-3868 6, 249 (1949)]
    • L. Onsager, discussion remark on C. J. Gorter, "The two fluid model for helium II," International Conference on Statistical Mechanics, Florence, 1949 [Nuovo Cimento, Suppl.NUCUAF0550-3868 6, 249 (1949)].
    • (1949) International Conference on Statistical Mechanics, Florence, 1949
    • Onsager, L.1
  • 49
    • 77956950163 scopus 로고
    • "Application of quantum mechanics to liquid helium"
    • in edited by C. Gorter (North-Holland, Amsterdam)
    • R. P. Feynman, "Application of quantum mechanics to liquid helium," in Progress in Low Temperature Physics, edited by C. Gorter (North-Holland, Amsterdam, 1955), Vol. 1, pp. 17-51.
    • (1955) Progress in Low Temperature Physics , vol.1 , pp. 17-51
    • Feynman, R.P.1
  • 50
    • 0000853831 scopus 로고
    • "On the problem of the molecular theory of superconductivity"
    • PHRVAO0031-899X10.1103/PhysRev.74.562
    • F. London, "On the problem of the molecular theory of superconductivity," Phys. Rev. PHRVAO0031-899X10.1103/ PhysRev.74.562 74, 562 (1948).
    • (1948) Phys. Rev. , vol.74 , pp. 562
    • London, F.1
  • 51
    • 3543080873 scopus 로고
    • "An influence of the size on the critical field for type II superconductors"
    • DANKAS0002-3264
    • A. A. Abrikosov, "An influence of the size on the critical field for type II superconductors," Dokl. Akad. Nauk SSSR DANKAS0002-3264 86, 489 (1952).
    • (1952) Dokl. Akad. Nauk SSSR , vol.86 , pp. 489
    • Abrikosov, A.A.1
  • 52
    • 0000206940 scopus 로고
    • "Magnetic properties of superconductors of the second group"
    • ZETFA70044-4510 [Sov. Phys. JETPSPHJAR0038-5646 5, 1174 (1957)]
    • A. A. Abrikosov, "Magnetic properties of superconductors of the second group," Zh. Eksp. Teor. Fiz. ZETFA70044-4510 32, 1442 (1957) [Sov. Phys. JETPSPHJAR0038-5646 5, 1174 (1957)].
    • (1957) Zh. Eksp. Teor. Fiz. , vol.32 , pp. 1442
    • Abrikosov, A.A.1    Abrikosov, A.A.2
  • 53
    • 0001589609 scopus 로고
    • "Theory of flux creep in hard superconductors"
    • PRLTAO0031-900710.1103/PhysRevLett.9.309
    • P. W. Anderson, "Theory of flux creep in hard superconductors," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.9.309 9, 309 (1962).
    • (1962) Phys. Rev. Lett. , vol.9 , pp. 30
    • Anderson, P.W.1
  • 54
    • 50549216114 scopus 로고
    • "Potential differences in the mixed state of type-II superconductors"
    • PHLTAM0031-916310.1016/0031-9163(65)90826-7
    • B. D. Josephson, "Potential differences in the mixed state of type-II superconductors," Phys. Lett. PHLTAM0031-916310.1016/ 0031-9163(65)90826-7 16, 242 (1965).
    • (1965) Phys. Lett. , vol.16 , pp. 242
    • Josephson, B.D.1
  • 55
    • 58249094217 scopus 로고
    • "Notes on hydrodynamics: On the vis-viva of a liquid in motion"
    • Kelvin Lord [reprinted in W. T. Thomson, Mathematical and Physical Papers, Vol. 1 (Cambridge University Press, Cambridge, 1882), Art. XL, pp. 107-112]
    • W. Thomson (Lord Kelvin), "Notes on hydrodynamics: On the vis-viva of a liquid in motion," Cambridge and Dublin Mathematical Journal 4, 90 (1849) [reprinted in W. T. Thomson, Mathematical and Physical Papers, Vol. 1 (Cambridge University Press, Cambridge, 1882), Art. XL, pp. 107-112].
    • (1849) Cambridge and Dublin Mathematical Journal , vol.4 , pp. 90
    • Thomson, W.1    Thomson, W.T.2
  • 56
    • 0343014170 scopus 로고    scopus 로고
    • "Quantized vortices in superfluids and superconductors"
    • IJPBEV0217-979210.1142/S0217979299000576
    • D. Thouless, P. Ao, Q. Niu, M. Geller, and C. Wexler, "Quantized vortices in superfluids and superconductors," Int. J. Mod. Phys. B IJPBEV0217-979210.1142/S0217979299000576 13, 675 (1999).
    • (1999) Int. J. Mod. Phys. B , vol.13 , pp. 675
    • Thouless, D.1    Ao, P.2    Niu, Q.3    Geller, M.4    Wexler, C.5
  • 57
    • 0037831415 scopus 로고    scopus 로고
    • "Microscopic theory of vortex dynamics in homogeneous superconductors"
    • PRBMDO0163-182910.1103/PhysRevB.60.6850
    • P. Ao and X.-M. Zhu, "Microscopic theory of vortex dynamics in homogeneous superconductors," Phys. Rev. B PRBMDO0163-182910.1103/ PhysRevB.60.6850 60, 6850 (1999).
    • (1999) Phys. Rev. B , vol.60 , pp. 6850
    • Ao, P.1    Zhu, X.-M.2
  • 58
    • 0000450634 scopus 로고
    • "Helicity cascades in fully developed isotropic turbulence"
    • PFLDAS0031-917110.1063/1.1694520
    • A. Brissaud, U. Frisch, J. Leorat, M. Lesieur, and A. Mazure, "Helicity cascades in fully developed isotropic turbulence," Phys. Fluids PFLDAS0031-917110.1063/1.1694520 16, 1366 (1973).
    • (1973) Phys. Fluids , vol.16 , pp. 1366
    • Brissaud, A.1    Frisch, U.2    Leorat, J.3    Lesieur, M.4    Mazure, A.5
  • 59
    • 0023438205 scopus 로고
    • "Large-scale flow driven by the anisotropic kinetic alpha effect"
    • PDNPDT0167-278910.1016/0167-2789(87)90026-1
    • U. Frisch, Z. S. She, and P. L. Sulem, "Large-scale flow driven by the anisotropic kinetic alpha effect," Physica D PDNPDT0167-278910.1016/0167-2789(87)90026-1 28, 382 (1987).
    • (1987) Physica D , vol.28 , pp. 382
    • Frisch, U.1    She, Z.S.2    Sulem, P.L.3
  • 60
    • 22144484877 scopus 로고    scopus 로고
    • "On the evolution of material lines and vorticity in homogeneous turbulence"
    • JFLSA70022-1120
    • M. Guala, B. Lüthi, A. Liberzon, A. Tsinober, and W. Kinzelbach, "On the evolution of material lines and vorticity in homogeneous turbulence," J. Fluid Mech. JFLSA70022-1120 533, 339 (2005).
    • (2005) J. Fluid Mech. , vol.533 , pp. 339
    • Guala, M.1    Lüthi, B.2    Liberzon, A.3    Tsinober, A.4    Kinzelbach, W.5
  • 61
    • 33845345239 scopus 로고    scopus 로고
    • "Cascade of circulations in fluid turbulence"
    • PLEEE81063-651X10.1103/PhysRevE.74.066302
    • G. L. Eyink, "Cascade of circulations in fluid turbulence," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.74.066302 74, 066302 (2006).
    • (2006) Phys. Rev. E , vol.74 , pp. 066302
    • Eyink, G.L.1
  • 62
    • 33749559030 scopus 로고    scopus 로고
    • Is the Kelvin theorem valid for high Reynolds number turbulence?"
    • PRLTAO0031-900710.1103/PhysRevLett.97.144505
    • S. Chen, G. L. Eyink, M. Wan, and Z. Xiao, "Is the Kelvin theorem valid for high Reynolds number turbulence?" Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.97.144505 97, 144505 (2006).
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 144505
    • Chen, S.1    Eyink, G.L.2    Wan, M.3    Xiao, Z.4
  • 63
  • 64
    • 0031624239 scopus 로고    scopus 로고
    • "Science and technology of high-temperature superconducting films"
    • ARMSCX0084-660010.1146/annurev.matsci.28.1.299
    • D. P. Norton, "Science and technology of high-temperature superconducting films," Annu. Rev. Mater. Sci. ARMSCX0084-660010.1146/annurev.matsci.28.1.299 28, 299 (1998).
    • (1998) Annu. Rev. Mater. Sci. , vol.28 , pp. 299
    • Norton, D.P.1
  • 65
    • 34548744063 scopus 로고    scopus 로고
    • "Pinning size effects in critical currents of superconducting films"
    • SUSTEF0953-204810.1088/0953-2048/20/9/S03
    • A. Gurevich, "Pinning size effects in critical currents of superconducting films," Supercond. Sci. Technol. SUSTEF0953-204810.1088/0953-2048/20/9/S03 20, S128 (2007).
    • (2007) Supercond. Sci. Technol. , vol.20
    • Gurevich, A.1
  • 66
    • 39049170050 scopus 로고
    • "Resistance in high-temperature superconductors"
    • SCAMAC0036-8733
    • D. J. Bishop, P. L. Gammel, and D. A. Huse, "Resistance in high-temperature superconductors," Sci. Am. SCAMAC0036-8733 268(2), 48 (1993).
    • (1993) Sci. Am. , vol.268 , Issue.2 , pp. 48
    • Bishop, D.J.1    Gammel, P.L.2    Huse, D.A.3
  • 68
    • 43649088786 scopus 로고    scopus 로고
    • "Nanoscale grains, high irreversibility field and large critical current density as a function of high-energy ball milling time in C-doped magnesium diboride"
    • SUSTEF0953-204810.1088/0953-2048/21/3/035009
    • B. J. Senkowicz, R. J. Mungall, Y. Zhu, J. Jiang, P. M. Voyles, E. E. Hellstrom, and D. C. Larbalestier, "Nanoscale grains, high irreversibility field and large critical current density as a function of high-energy ball milling time in C-doped magnesium diboride," Supercond. Sci. Technol. SUSTEF0953-204810.1088/0953-2048/21/3/035009 21, 035009 (2008).
    • (2008) Supercond. Sci. Technol. , vol.21 , pp. 035009
    • Senkowicz, B.J.1    Mungall, R.J.2    Zhu, Y.3    Jiang, J.4    Voyles, P.M.5    Hellstrom, E.E.6    Larbalestier, D.C.7
  • 69
    • 0033705486 scopus 로고    scopus 로고
    • "Turbulent pipe flow of He I and He II"
    • PHYBE30921-4526
    • C. J. Swanson, R. J. Donnelly, and G. G. Ihas, "Turbulent pipe flow of He I and He II," Physica B PHYBE30921-4526 284-288, 77 (2000).
    • (2000) Physica B , vol.284-288 , pp. 77
    • Swanson, C.J.1    Donnelly, R.J.2    Ihas, G.G.3
  • 70
    • 34547748851 scopus 로고    scopus 로고
    • "Particle image velocimetry measurements of the velocity profile in He II forced flow"
    • PHFLE61070-663110.1063/1.2756577
    • T. Xu and S. W. Van Sciver, "Particle image velocimetry measurements of the velocity profile in He II forced flow," Phys. Fluids PHFLE61070-663110.1063/1.2756577 19, 071703 (2007).
    • (2007) Phys. Fluids , vol.19 , pp. 071703
    • Xu, T.1    Van Sciver, S.W.2
  • 71
    • 0031126454 scopus 로고    scopus 로고
    • "On the mechanism of turbulent drag reduction in dilute polymer solutions: Dynamics of vortex filaments"
    • JNFMDI0377-025710.1016/S0377-0257(96)01526-1
    • A. L. Yarin, "On the mechanism of turbulent drag reduction in dilute polymer solutions: Dynamics of vortex filaments," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/S0377-0257(96)01526-1 69, 137 (1997).
    • (1997) J. Non-Newtonian Fluid Mech. , vol.69 , pp. 137
    • Yarin, A.L.1
  • 72
    • 0039990788 scopus 로고
    • "Behavior at time t = 0 of the solutions of semilinear evolution equations"
    • JDEQAK0022-039610.1016/0022-0396(82)90075-4
    • R. Temam, "Behavior at time t = 0 of the solutions of semilinear evolution equations," J. Differ. Equations JDEQAK0022-039610.1016/ 0022-0396(82)90075-4 43, 73 (1982).
    • (1982) J. Differ. Equations , vol.43 , pp. 73
    • Temam, R.1
  • 73
    • 33748916027 scopus 로고    scopus 로고
    • "Suitable initial conditions"
    • JCTPAH0021-999110.1016/j.jcp.2006.03.033
    • R. Temam, "Suitable initial conditions," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2006.03.033 218, 443 (2006).
    • (2006) J. Comput. Phys. , vol.218 , pp. 443
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.