Analogy between the Navier-Stokes equations and Maxwell's equations: Application to turbulence

Physics of Fluids

Volumn 10, Issue 6, 1998, Pages 1428-1437

  Marmanis, Haralambos ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040544387     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869762     Document Type: Article

References (29)

1. M. J. Lighthill, "On sound generated aerodynamically. I. General theory," Proc. R. Soc. London, Ser. A 211, 564 (1952).
2. C. Truesdell, The Kinematics of Vorticity (Indiana U. P., Bloomington, 1952).
3. M. J. Lighthill, "Introduction: Boundary layer theory," in Laminar Boundary Layer, edited by L. Rosenhead, (Oxford U.P., Oxford, 1963), pp. 46-113.
4. J. Z. Wu and J. M. Wu, "Vorticity dynamics on boundaries," Adv. Appl. Mech. 32, 119 (1996).
5. D. Küchemann, "Report on the IUTAM Symposium on concentrated vortex motions in fluids," J. Fluid Mech. 21, 1 (1965).
6. R. H. Kraichnan and R. Panda, "Depression of nonlinearity in decaying isotropic turbulence," Phys. Fluids 31, 2395 (1988).
7. J. Z. Wu, Y. Zhou, and J. M. Wu, Reduced stress tensor and dissipation and the transport of Lamb vector, ICASE Rept. 96-21, (1996).
8. P. M. Morse and H. Feshbach, Methods of theoretical physics (McGraw-Hill, New York, 1953).
9. O. V. Troshkin, "Perturbation waves in turbulent media," Zh. Vychisl. Mat. Mat. Fiz. 33, 1844 (1993).
10. J. D. Jackson, Classical Electrodynamics (J. Wiley, New York, 1975).
11. G. Russakoff, "A derivation of the macroscopic Maxwell equations," Am. J. Phys. 38, 1188 (1970).
12. H. Schlichting, Boundary Layer Theory, 7th ed. (McGraw-Hill, New York, 1979).
13. C. Crawford and G. Em. Karniadakis, Shear stress modification and vorticity dynamics in near-wall turbulence, Tech. Rept.CFM 96-2 (Center for Fluid Mechanics, Brown Univ., Providence, 1996).
14. E. L. Mollo-Christensen, "Jet noise and shear-flow instability seen from an experimenter's viewpoint," ASME J. Appl. Mech. Ser. E, 89, (1967).
15. A. K. M. F. Hussain and W. C. Reynolds, "The mechanics of an organized wave in turbulent shear flow," J. Fluid Mech. 41(2), 241 (1970).
16. P. E. Dimotakis and G. L. Brown, "The mixing layer at high Reynolds number: large-structure dynamics and entrainment," J. Fluid Mech. 78, 535 (1976).
17. T. R. Heidrick, S. Banerjee, and R. S. Azad, "Experiments on the structure of turbulence in fully developed pipe flow: interpretation of the measurements by a wave model," J. Fluid Mech. 81, 137 (1977).
18. J. Jimenez, P. Moin, R. Moser, and L. Keefe, "Ejection mechanisms in the sublayer of a turbulent channel," Phys. Fluids 31, 1311 (1988).
19. W. Thomson, "On the propagation of laminar motion through a turbulently moving inviscid liquid," Philos. Mag. 4(47), 342 (1887).
20. M. T. Landahl, "A wave-guide model for turbulent shear flow," J. Fluid Mech. 29, 441 (1967).
21. O. V. Troshkin, The Wave Theory of Turbulence (VTs Akad. Nauk S.S.S.R., Moscow, 1989).
22. J. T. C. Liu, "Contributions to the understanding of large-scale coherent structures in Developing Free Turbulent Shear Flows," Adv. Appl. Mech. 26, 183 (1988).
23. J. T. Stuart, "On the nonlinear mechanics of hydrodynamic stability," J. Fluid Mech. 4, 1 (1958).
24. A. C. Poje and J. L. Lumley, "A model for large-scale structures in turbulent shear flows," J. Fluid Mech. 285, 349 (1995).
25. V. E. Zakharov, S. L. Musher, and A. M. Rubenchik, "Hamiltonian approach to the description of non-linear plasma phenomena," Phys. Rep. 129(5), 285 (1985).
26. V. E. Zakharov, V. S. L'vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I. Wave Turbulence (Springer-Verlag, New York, 1992).
27. A. A. Townsend, "Equilibrium layers and wall turbulence," J. Fluid Mech. 11, 97 (1961).
28. A. A. Townsend, The Structure of Turbulent Shear Flow, 2nd ed. (Cambridge U.P., Cambridge, 1976).
29. M. J. Lighthill, "The outlook for a wave theory of turbulent shear flow," in Proc. Comp. Turbulent Boundary Layers, edited by S. J. Kline, M. V. Morkovin, G. Sovran, and D. J. Cockrell (Stanford U.P., Stanford, 1969), Vol. 1, pp. 511-520.