A note on kinetic energy, dissipation and enstrophy

Physics of Fluids

Volumn 11, Issue 2, 1999, Pages 503-505

  Wu, Jie Zhi ^a   Zhou, Ye ^b,c   Fan, Meng ^a,d  

^a UNIVERSITY OF TENNESSEE SPACE INSTITUTE   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

^c NASA LANGLEY RESEARCH CENTER   (United States)

^d Peking University   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008858446     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869866     Document Type: Article

References (11)

1. J. Serrin, "Mathematical principles of classic fluid mechanics," Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1959), Vol. III.1.
2. P. A. Lagerstrom, Laminar Flow Theory (Princeton University Press, Princeton, 1964).
3. If the frequency-dependent bulk viscosity ζ [e.g., L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1987) is used, then λ is replaced by ζ - 2/3μ and our argument remains unaffected.
4. R. H. Dishington, "Rate of surface strain," Am. J. Phys. 33, 827 (1965). In this Brief Communication and Dishington's paper there is a sign difference in the definition of B.
5. J. Z. Wu, "A theory of three-dimensional interfacial vorticity dynamics," Phys. Fluids 7, 2375 (1995).
6. J. Z. Wu and J. M. Wu, "Vorticity dynamics on boundaries," Adv. Appl. Mech. 32, 119 (1996).
7. D. H. Porter, A. Pouquet, and P. R. Woodward, "A numerical study of supersonic turbulence," Theor. Comput. Fluid Dyn. 4, 13 (1992).
8. M. Tanaka and S. Kida, "Characterization of vortex tubes and sheets," Phys. Fluids A 5, 2079 (1993).
9. O. N. Boratav and R. B. Pelz, "Structures and structure functions in the inertial range of turbulence," Phys. Fluids 9, 1400 (1997).
10. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
11. G. He, S. Chen, R. H. Kraichnan, R. Zhang, and Y. Zhou, "Statistics of dissipation and enstrophy induced by a set of Burgers vortices," Phys. Rev. Lett. 81, 4636 (1998).