-
1
-
-
0001899203
-
Convection at high Rayleigh number
-
Munich, Germany
-
L. N. HOWARD, Convection at high Rayleigh number, Proceedings of the 11th International Congress of Applied Mechanics, Munich, Germany, 1109-1115 (1964). (Averaging the diffusive thermal boundary layers led to an 18% root mean square [rms] temperature fluctuation in the layer, close to that observed earlier by A. A. Townsend, J. Fluid Mech. 5:209-241 [1959].)
-
(1964)
Proceedings of the 11th International Congress of Applied Mechanics
, pp. 1109-1115
-
-
Howard, L.N.1
-
2
-
-
84915881969
-
-
L. N. HOWARD, Convection at high Rayleigh number, Proceedings of the 11th International Congress of Applied Mechanics, Munich, Germany, 1109-1115 (1964). (Averaging the diffusive thermal boundary layers led to an 18% root mean square [rms] temperature fluctuation in the layer, close to that observed earlier by A. A. Townsend, J. Fluid Mech. 5:209-241 [1959].)
-
(1959)
J. Fluid Mech.
, vol.5
, pp. 209-241
-
-
Townsend, A.A.1
-
5
-
-
0000109675
-
The heat transport and spectrum of thermal turbulence
-
W. V. R. MALKUS, The heat transport and spectrum of thermal turbulence, Proc. Roy. Soc. Lond. 2025:196-212 (1954). (Contains an early account of an upper bound theory and was followed by a more extended report in Theory and Fundamental Research in Heat Transfer, 203-212, Pergamon Press, 1963, containing quantitative results for both boundary region and outer thermal profile.)
-
(1954)
Proc. Roy. Soc. Lond.
, vol.2025
, pp. 196-212
-
-
Malkus, W.V.R.1
-
6
-
-
0039065391
-
-
Pergamon Press
-
W. V. R. MALKUS, The heat transport and spectrum of thermal turbulence, Proc. Roy. Soc. Lond. 2025:196-212 (1954). (Contains an early account of an upper bound theory and was followed by a more extended report in Theory and Fundamental Research in Heat Transfer, 203-212, Pergamon Press, 1963, containing quantitative results for both boundary region and outer thermal profile.)
-
(1963)
Theory and Fundamental Research in Heat Transfer
, pp. 203-212
-
-
-
7
-
-
36849117606
-
Turbulent thermal convection at arbitrary Prandtl number
-
R. H. KRAICHNAN, Turbulent thermal convection at arbitrary Prandtl number, Phys. Fluids 5:1374-1389 (1962).
-
(1962)
Phys. Fluids
, vol.5
, pp. 1374-1389
-
-
Kraichnan, R.H.1
-
8
-
-
0024698819
-
Scaling of hard turbulence in Rayleigh-Bernard convection
-
A study of convective flow largely driven by buoyant processes at the vertical boundaries of the fluid. A more recent work by D. Lohse and S. Grossmann, Scaling in thermal convection: A unifying theory, has been submitted for publication
-
B. CASTAING, S. SUNARATNE, F. HESLOT, L. KADANOFF, A. LIBCHABER, S. THOMAS, X. Z. WU, S. ZALESKI, and S. ZANETTI, Scaling of hard turbulence in Rayleigh-Bernard convection, J. Fluid Mech. 204:1-30, (1989). (A study of convective flow largely driven by buoyant processes at the vertical boundaries of the fluid. A more recent work by D. Lohse and S. Grossmann, Scaling in thermal convection: A unifying theory, has been submitted for publication.)
-
(1989)
J. Fluid Mech.
, vol.204
, pp. 1-30
-
-
Castaing, B.1
Sunaratne, S.2
Heslot, F.3
Kadanoff, L.4
Libchaber, A.5
Thomas, S.6
Wu, X.Z.7
Zaleski, S.8
Zanetti, S.9
-
9
-
-
0020177799
-
On the structure of turbulent channel flow
-
P. H. ALFREDSSON and A. V. JOHANSSON, On the structure of turbulent channel flow, J. Fluid Mech. 122:295 (1982).
-
(1982)
J. Fluid Mech.
, vol.122
, pp. 295
-
-
Alfredsson, P.H.1
Johansson, A.V.2
-
10
-
-
0022221447
-
An alternate approach to nonlinear instabilities in hydrodynamics
-
D. J. BENNEY and K. CHOW, An alternate approach to nonlinear instabilities in hydrodynamics, Stud. Appl. Math. 73:201 (1985).
-
(1985)
Stud. Appl. Math.
, vol.73
, pp. 201
-
-
Benney, D.J.1
Chow, K.2
-
11
-
-
0024607455
-
A mean flow first harmonic theory
-
D. J. BENNEY and K. CHOW, A mean flow first harmonic theory, Stud. Appl. Math. 80:37 (1989).
-
(1989)
Stud. Appl. Math.
, vol.80
, pp. 37
-
-
Benney, D.J.1
Chow, K.2
-
12
-
-
0040792267
-
Weakly nonlinear analysis of a localized disturbance in Poiseuille flow
-
D. PONZIANI et al., Weakly nonlinear analysis of a localized disturbance in Poiseuille flow, Stud. Appl. Math. 105:121 (2000).
-
(2000)
Stud. Appl. Math.
, vol.105
, pp. 121
-
-
Ponziani, D.1
-
13
-
-
85153277729
-
From disorder to order
-
In press
-
W. V. R. MALKUS, From disorder to order, Stud. Appl. Math. 108:1. In press.
-
Stud. Appl. Math.
, vol.108
, pp. 1
-
-
Malkus, W.V.R.1
-
14
-
-
0000034114
-
Three-dimensional coherent states in plane shear flow
-
F. WALEFFE, Three-dimensional coherent states in plane shear flow, Phys. Rev. Lett. 81:4140 (1998). (This consistent model of a self-sustaining mechanism produces roles, downstream vortices, and their instability leading to a repeat of the process; the quantifying function of the underlying shear layer is given only passing attention; an earlier paper by J. M. Hamilton, J. Kim, and F. Waleffe, J. Fluid Mech. 287:317-348 [1995] provides an experimental and numerical foundation for the Waleffe model. Numerical studies by R. M. Clever and F. H. Busse, J. Fluid Mech. 344:137-153 [1997] addresses a manifold of steady solutions found at low R; the instabilities of these solutions lead to periodic flows much like the steady solutions.)
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 4140
-
-
Waleffe, F.1
-
15
-
-
0028976489
-
-
F. WALEFFE, Three-dimensional coherent states in plane shear flow, Phys. Rev. Lett. 81:4140 (1998). (This consistent model of a self-sustaining mechanism produces roles, downstream vortices, and their instability leading to a repeat of the process; the quantifying function of the underlying shear layer is given only passing attention; an earlier paper by J. M. Hamilton, J. Kim, and F. Waleffe, J. Fluid Mech. 287:317-348 [1995] provides an experimental and numerical foundation for the Waleffe model. Numerical studies by R. M. Clever and F. H. Busse, J. Fluid Mech. 344:137-153 [1997] addresses a manifold of steady solutions found at low R; the instabilities of these solutions lead to periodic flows much like the steady solutions.)
-
(1995)
J. Fluid Mech.
, vol.287
, pp. 317-348
-
-
Hamilton, J.M.1
Kim, J.2
Waleffe, F.3
-
16
-
-
0031205838
-
-
F. WALEFFE, Three-dimensional coherent states in plane shear flow, Phys. Rev. Lett. 81:4140 (1998). (This consistent model of a self-sustaining mechanism produces roles, downstream vortices, and their instability leading to a repeat of the process; the quantifying function of the underlying shear layer is given only passing attention; an earlier paper by J. M. Hamilton, J. Kim, and F. Waleffe, J. Fluid Mech. 287:317-348 [1995] provides an experimental and numerical foundation for the Waleffe model. Numerical studies by R. M. Clever and F. H. Busse, J. Fluid Mech. 344:137-153 [1997] addresses a manifold of steady solutions found at low R; the instabilities of these solutions lead to periodic flows much like the steady solutions.)
-
(1997)
J. Fluid Mech.
, vol.344
, pp. 137-153
-
-
Clever, R.M.1
Busse, F.H.2
-
17
-
-
5344252236
-
Heat transport by thermal convection
-
L. N. HOWARD, Heat transport by thermal convection, J. Fluid Mech. 17:405-432 (1963).
-
(1963)
J. Fluid Mech.
, vol.17
, pp. 405-432
-
-
Howard, L.N.1
-
18
-
-
0014543531
-
On Howard's upper bound for heat transport by thermal convection
-
F. H. BUSSE, On Howard's upper bound for heat transport by thermal convection, J. Fluid Mech. 37:457-477 (1969). (Busse discovered the multiplicity of horizontal waves, which vastly enriched the vector fields of the optimum heat transport solutions; also see F. H. Busse, Bounds for turbulent shear flow, J. Fluid Mech. 41:457-477 [1970].)
-
(1969)
J. Fluid Mech.
, vol.37
, pp. 457-477
-
-
Busse, F.H.1
-
19
-
-
0014748934
-
Bounds for turbulent shear flow
-
F. H. BUSSE, On Howard's upper bound for heat transport by thermal convection, J. Fluid Mech. 37:457-477 (1969). (Busse discovered the multiplicity of horizontal waves, which vastly enriched the vector fields of the optimum heat transport solutions; also see F. H. Busse, Bounds for turbulent shear flow, J. Fluid Mech. 41:457-477 [1970].)
-
(1970)
J. Fluid Mech.
, vol.41
, pp. 457-477
-
-
Busse, F.H.1
-
20
-
-
0041002539
-
Bound to improve: A variational approach to convective heat transport
-
In press
-
R. IERLEY and R. A. WORTHING, Bound to improve: A variational approach to convective heat transport, J. Fluid Mech. In press.
-
J. Fluid Mech.
-
-
Ierley, R.1
Worthing, R.A.2
-
21
-
-
29444448503
-
Variational bounds on energy dissipation in incompressible flows: Shear flows
-
C. R. DOERING and P. CONSTANTIN, Variational bounds on energy dissipation in incompressible flows: Shear flows. Phys. Rev. E49:4087-40W (1994). (An approach to upper-bound theory from "above," expanding upon an early paper by E. Hopf [1941] Ein allgemeiner endlichkeitssatz der hydrodynamic. Mathematische Annalen 117:175-192 [1998].)
-
(1994)
Phys. Rev.
, vol.E49
-
-
Doering, C.R.1
Constantin, P.2
-
22
-
-
85153290995
-
Ein allgemeiner endlichkeitssatz der hydrodynamic
-
1998.
-
C. R. DOERING and P. CONSTANTIN, Variational bounds on energy dissipation in incompressible flows: Shear flows. Phys. Rev. E49:4087-40W (1994). (An approach to upper-bound theory from "above," expanding upon an early paper by E. Hopf [1941] Ein allgemeiner endlichkeitssatz der hydrodynamic. Mathematische Annalen 117:175-192 [1998].)
-
(1941)
Mathematische Annalen
, vol.117
, pp. 175-192
-
-
Hopf, E.1
-
23
-
-
11544316421
-
Unification of variational principles for turbulent shear flows: The background method of Doering-constantin and Howard-Busse mean-fluctuation formulation
-
R. R. KERSWELL, Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and Howard-Busse mean-fluctuation formulation, Physica D 121:175-192 (1998). (Kerswell established that the two approaches to maximum dissipation rate were "complementary variational principles"; the two theories were not recognized as compatible until Nicodemus et al. [1997] Phys. Rev. Lett. 79:4170 discovery of a necessary additional freedom in the Doering-Constantin constraints was included.)
-
(1998)
Physica D
, vol.121
, pp. 175-192
-
-
Kerswell, R.R.1
-
24
-
-
0031272173
-
Complementary variational principles
-
R. R. KERSWELL, Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and Howard-Busse mean-fluctuation formulation, Physica D 121:175-192 (1998). (Kerswell established that the two approaches to maximum dissipation rate were "complementary variational principles"; the two theories were not recognized as compatible until Nicodemus et al. [1997] Phys. Rev. Lett. 79:4170 discovery of a necessary additional freedom in the Doering-Constantin constraints was included.)
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 4170
-
-
Nicodemus1
-
25
-
-
0000618681
-
Toward lowering dissipation bounds on turbulent flows
-
R. NICODEMUS, S. GROSSMANN, and M. HOLTHAUS, Toward lowering dissipation bounds on turbulent flows, Eur. Phys. J. B. 10:385-396 (1999).
-
(1999)
Eur. Phys. J. B.
, vol.10
, pp. 385-396
-
-
Nicodemus, R.1
Grossmann, S.2
Holthaus, M.3
-
26
-
-
0024764779
-
Upper bounds on functions of the dissipation rate n turbulent shear flow
-
W. V. R. MALKUS and L. M. SMITH, Upper bounds on functions of the dissipation rate n turbulent shear flow. J. Fluid Mech. 208:79-507 (1989). (Further study by L. M. Smith, Turbulent flow profiles that maximize the efficiency function, J. Fluid Mech. 227:509-525 [1991] suggested the need for further experiment at higher R to determine the limits of validity of these proposals; search for an optimizing functional led to a general statistical stability condition, W. V. R. Malkus, Statistical stability criteria for turbulent flow, Phys. Fluids 8:1582-1587 [1986].)
-
(1989)
J. Fluid Mech.
, vol.208
, pp. 79-507
-
-
Malkus, W.V.R.1
Smith, L.M.2
-
27
-
-
0026171327
-
Turbulent flow profiles that maximize the efficiency function
-
W. V. R. MALKUS and L. M. SMITH, Upper bounds on functions of the dissipation rate n turbulent shear flow. J. Fluid Mech. 208:79-507 (1989). (Further study by L. M. Smith, Turbulent flow profiles that maximize the efficiency function, J. Fluid Mech. 227:509-525 [1991] suggested the need for further experiment at higher R to determine the limits of validity of these proposals; search for an optimizing functional led to a general statistical stability condition, W. V. R. Malkus, Statistical stability criteria for turbulent flow, Phys. Fluids 8:1582-1587 [1986].)
-
(1991)
J. Fluid Mech.
, vol.227
, pp. 509-525
-
-
Smith, L.M.1
-
28
-
-
0029673605
-
Statistical stability criteria for turbulent flow
-
W. V. R. MALKUS and L. M. SMITH, Upper bounds on functions of the dissipation rate n turbulent shear flow. J. Fluid Mech. 208:79-507 (1989). (Further study by L. M. Smith, Turbulent flow profiles that maximize the efficiency function, J. Fluid Mech. 227:509-525 [1991] suggested the need for further experiment at higher R to determine the limits of validity of these proposals; search for an optimizing functional led to a general statistical stability condition, W. V. R. Malkus, Statistical stability criteria for turbulent flow, Phys. Fluids 8:1582-1587 [1986].)
-
(1986)
Phys. Fluids
, vol.8
, pp. 1582-1587
-
-
Malkus, W.V.R.1
-
29
-
-
85153272845
-
On transition to turbulence and synthesis of alternative approaches
-
In press
-
C. C. LIN, On transition to turbulence and synthesis of alternative approaches, Stud. Appl. Math. 108:1. In press.
-
Stud. Appl. Math.
, vol.108
, pp. 1
-
-
Lin, C.C.1
|