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Volumn 11, Issue 8, 1999, Pages 2343-2353

A connection between the Camassa-Holm equations and turbulent flows in channels and pipes

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHANNEL FLOW; LAGRANGE MULTIPLIERS; PIPE FLOW; REYNOLDS NUMBER;

EID: 0032614269     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870096     Document Type: Article
Times cited : (238)

References (35)
  • 1
    • 0004803553 scopus 로고
    • Messungen turbulenter Schwankungen
    • H. Reichardt, "Messungen turbulenter Schwankungen," Naturwissenschaften 24/25, 404 (1938).
    • (1938) Naturwissenschaften , vol.24-25 , pp. 404
    • Reichardt, H.1
  • 3
    • 0016101442 scopus 로고
    • The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow
    • H. Eckelmann, "The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow," J. Fluid Mech. 65, 439 (1974).
    • (1974) J. Fluid Mech. , vol.65 , pp. 439
    • Eckelmann, H.1
  • 4
    • 0024544923 scopus 로고
    • Reynolds-number effects on the structure of a turbulent channel flow
    • T. Wei and W. W. Willmarth, "Reynolds-number effects on the structure of a turbulent channel flow," J. Fluid Mech. 204, 57 (1989).
    • (1989) J. Fluid Mech. , vol.204 , pp. 57
    • Wei, T.1    Willmarth, W.W.2
  • 5
    • 0027010111 scopus 로고
    • Low-Reynolds-number effects in a fully developed turbulent channel flow
    • R. A. Antonia, M. Teitel, J. Kim, and L. W. B. Browne, "Low-Reynolds-number effects in a fully developed turbulent channel flow," J. Fluid Mech. 236, 579 (1992).
    • (1992) J. Fluid Mech. , vol.236 , pp. 579
    • Antonia, R.A.1    Teitel, M.2    Kim, J.3    Browne, L.W.B.4
  • 6
    • 0023155294 scopus 로고
    • Turbulence statistics in fully developed channel flow at low Reynolds number
    • J. Kim, P. Moin, and R. Moser, "Turbulence statistics in fully developed channel flow at low Reynolds number," J. Fluid Mech. 177, 133 (1987).
    • (1987) J. Fluid Mech. , vol.177 , pp. 133
    • Kim, J.1    Moin, P.2    Moser, R.3
  • 9
    • 0031163263 scopus 로고    scopus 로고
    • A Reynolds stress function for wall layers
    • R. L. Panton, "A Reynolds stress function for wall layers," J. Fluids Eng. 119, 325 (1997).
    • (1997) J. Fluids Eng. , vol.119 , pp. 325
    • Panton, R.L.1
  • 10
    • 0001359748 scopus 로고    scopus 로고
    • Scaling laws for fully developed turbulent flow in pipes
    • See, e.g., G. I. Barenblatt, A. J. Chorin, and V. M. Prostokishin, "Scaling laws for fully developed turbulent flow in pipes," Appl. Mech. Rev. 50, 413 (1997), for a recent survey of pipe flows; G. I. Barenblatt and A. J. Chorin, "Scaling laws and vanishing viscosity limits in turbulence theory," SIAM (Soc. Ind. Appl. Math.) Rev. 40, 265 (1998).
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 413
    • Barenblatt, G.I.1    Chorin, A.J.2    Prostokishin, V.M.3
  • 11
    • 0032094823 scopus 로고    scopus 로고
    • Scaling laws and vanishing viscosity limits in turbulence theory
    • See, e.g., G. I. Barenblatt, A. J. Chorin, and V. M. Prostokishin, "Scaling laws for fully developed turbulent flow in pipes," Appl. Mech. Rev. 50, 413 (1997), for a recent survey of pipe flows; G. I. Barenblatt and A. J. Chorin, "Scaling laws and vanishing viscosity limits in turbulence theory," SIAM (Soc. Ind. Appl. Math.) Rev. 40, 265 (1998).
    • (1998) SIAM (Soc. Ind. Appl. Math.) Rev. , vol.40 , pp. 265
    • Barenblatt, G.I.1    Chorin, A.J.2
  • 12
    • 0001262719 scopus 로고    scopus 로고
    • The Camassa-Holm equations as a closure model for turbulent channel and pipe flow
    • S. Chen, C. Foias, D. D. Holm, E. Olson, E. S. Titi, and S. Wynne, "The Camassa-Holm equations as a closure model for turbulent channel and pipe flow," Phys. Rev. Lett. 81, 5338 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5338
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Titi, E.S.5    Wynne, S.6
  • 13
    • 0024764779 scopus 로고
    • Upper bounds on functions of the dissipation rate in turbulent shear flow
    • W. V. R. Malkusa and L. M. Smith, "Upper bounds on functions of the dissipation rate in turbulent shear flow," J. Fluid Mech. 208, 479 (1989).
    • (1989) J. Fluid Mech. , vol.208 , pp. 479
    • Malkusa, W.V.R.1    Smith, L.M.2
  • 14
    • 30744443206 scopus 로고    scopus 로고
    • The Euler-Poincaré equatiens in geophysical fluid dynamics
    • edited by M. Cullen, J. Norbury, and I. Roulstone Cambridge University Press, Cambridge
    • D. D. Holm, J. E. Marsden, and T. S. Ratiu, "The Euler-Poincaré equatiens in geophysical fluid dynamics," in Mathematics of Atmosphere and Ocean Dynamics, edited by M. Cullen, J. Norbury, and I. Roulstone (Cambridge University Press, Cambridge, 1999).
    • (1999) Mathematics of Atmosphere and Ocean Dynamics
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 15
    • 11744318899 scopus 로고    scopus 로고
    • Euler-Poincaré models of ideal fluids with nonlinear dispersion
    • D. D. Holm, J. E. Marsden, and T. S. Ratiu, "Euler-Poincaré models of ideal fluids with nonlinear dispersion," Phys. Rev. Lett. 80, 4173 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4173
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 16
    • 0001971504 scopus 로고    scopus 로고
    • Euler-Poincaré equations and semidirect products with applications to continuum theories
    • D. D. Holm, J. E. Marsden, and T. S. Ratiu, "Euler-Poincaré equations and semidirect products with applications to continuum theories," Adv. Math. 137, 1 (1998).
    • (1998) Adv. Math. , vol.137 , pp. 1
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 17
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • R. Camassa and D. D. Holm, "An integrable shallow water equation with peaked solitons," Phys. Rev. Lett. 71, 1661 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661
    • Camassa, R.1    Holm, D.D.2
  • 18
    • 0041166151 scopus 로고    scopus 로고
    • A nonlinear analysis of the averaged Euler equations
    • Arnold (American Mathematics Society, Rhode Island, to be published)
    • D. D. Holm, S. Kouranbaeva, J. E. Marsden, T. Ratiu, and S. Shkoller, "A nonlinear analysis of the averaged Euler equations," Fields Inst. Comm., Arnold Vol. 2 (American Mathematics Society, Rhode Island, to be published).
    • Fields Inst. Comm. , vol.2
    • Holm, D.D.1    Kouranbaeva, S.2    Marsden, J.E.3    Ratiu, T.4    Shkoller, S.5
  • 19
    • 0002936313 scopus 로고    scopus 로고
    • 1 metric and mean hydrodynamics
    • 1 metric and mean hydrodynamics," J. Funct. Anal. 160, 337 (1998).
    • (1998) J. Funct. Anal. , vol.160 , pp. 337
    • Shkoller, S.1
  • 20
    • 84968509316 scopus 로고
    • The least action principle and the related concept of generalized flows for incompressible perfect fluids
    • Y. Brenier, "The least action principle and the related concept of generalized flows for incompressible perfect fluids," J. Am. Math. Soc. 2, 225 (1989).
    • (1989) J. Am. Math. Soc. , vol.2 , pp. 225
    • Brenier, Y.1
  • 21
    • 0001586642 scopus 로고
    • Generalized fluid flows, their approximation and applications
    • A. I. Shnirelman, "Generalized fluid flows, their approximation and applications," Geom. Funct. Anal. 4, 586 (1994).
    • (1994) Geom. Funct. Anal. , vol.4 , pp. 586
    • Shnirelman, A.I.1
  • 22
    • 85034538654 scopus 로고    scopus 로고
    • The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
    • to be published
    • J. E. Marsden, T. Ratiu, and S. Shkoller, "The geometry and analysis of the averaged Euler equations and a new diffeomorphism group," Geom. Func. Anal. (to be published).
    • Geom. Func. Anal.
    • Marsden, J.E.1    Ratiu, T.2    Shkoller, S.3
  • 23
    • 0000643286 scopus 로고    scopus 로고
    • Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid
    • I. Gjaja and D. D. Holm, "Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid," Physica D 98, 343 (1996).
    • (1996) Physica D , vol.98 , pp. 343
    • Gjaja, I.1    Holm, D.D.2
  • 24
    • 0016013907 scopus 로고
    • Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
    • J. E. Dunn and R. L. Fosdick, "Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade," Arch. Ration. Mech. Anal. 56, 191 (1974).
    • (1974) Arch. Ration. Mech. Anal. , vol.56 , pp. 191
    • Dunn, J.E.1    Fosdick, R.L.2
  • 25
    • 0029289811 scopus 로고
    • Fluids of differential type: Critical reviews and thermodynamic analysis
    • J. E. Dunn and K. R. Rajagopal, "Fluids of differential type: Critical reviews and thermodynamic analysis," Int. J. Eng. Sci. 33, 689 (1995).
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 689
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 26
    • 0001008393 scopus 로고
    • The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids
    • R. S. Rivlin, "The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids," Q. Appl. Math. 15, 212 (1957).
    • (1957) Q. Appl. Math. , vol.15 , pp. 212
    • Rivlin, R.S.1
  • 27
    • 0012113367 scopus 로고
    • Spectrum, dimension, and polymer analogies in fluid turbulence
    • A. J. Chorin, "Spectrum, dimension, and polymer analogies in fluid turbulence," Phys. Rev. Lett. 60, 1947 (1988).
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 1947
    • Chorin, A.J.1
  • 29
    • 0021642447 scopus 로고
    • Statistical analysis of the derivation of the Reynolds stress from its eddy-viscosity representation
    • A. Yoshizawa, "Statistical analysis of the derivation of the Reynolds stress from its eddy-viscosity representation," Phys. Fluids 27, 1377 (1984).
    • (1984) Phys. Fluids , vol.27 , pp. 1377
    • Yoshizawa, A.1
  • 30
    • 0001361283 scopus 로고
    • Nonlinear Reynolds stress models and the renormalization group
    • R. Rubinstein and J. M. Barton, "Nonlinear Reynolds stress models and the renormalization group," Phys. Fluids A 2, 1472 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 1472
    • Rubinstein, R.1    Barton, J.M.2


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