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2003 | 1 | 2 | 258-267
Tytuł artykułu

On the lyman problem

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper attempts to answer Lyman's question (1990) on the non-uniqueness in defining the 3D measure of the boundary vorticity-creation rate. Firstly, a straightforward analysis of the vorticity equation introduces a definition of a general vorticity flux-density tensor and its ‘effective’ part. The approach is strictly based on classical field theory and is independent of the constitutive structure of continuous medium. Secondly, the fundamental question posed by Lyman dealing with the ambiguity of the 3D measure of the boundary vorticity-creation rate for incompressible flow is discussed. It is shown that the original 3D measure (for an incompressible Newtonian fluid defined by Panton 1984), which is reminiscent of an analogy to Fourier's law, is in its character ‘effective’ and plays a crucial role in the prognostic vorticity transport equation. The alternative 3D measure proposed by Lyman includes, on the other hand, a ‘non-effective’ part, which plays a role in the local determination of the ‘effective’ measure as well as in a certain diagnostic integral boundary condition.
Wydawca

Czasopismo
Rocznik
Tom
1
Numer
2
Strony
258-267
Opis fizyczny
Daty
wydano
2003-06-01
online
2003-06-01
Twórcy
  • Institute of Hydrodynamics, Academy of Sciences, Pod Patankou 5, 166 12, Prague 6, Czech Republic, kolar@ih.cas.cz
Bibliografia
  • [1] M.J. Lighthill: “Introduction. Boundary layer theory”, In: L. Rosenhead, Ed., Laminar Boundary Layers, Oxford University Press, Oxford, 1963.
  • [2] B.R. Morton: “The generation and decay of vorticity”, Geophys. Astrophys. Fluid Dyn., Vol. 28, (1984) pp. 277–308. [Crossref]
  • [3] H. Hornung: “Vorticity generation and transport”, Proc. 10th Australas. Fluid Mech. Conf., Melbourne, 1989.
  • [4] J.-Z. Wu, J.-M. Wu: “Boundary vorticity dynamics since Lighthill's 1963 article: review and development”, Theor. Comput. Fluid Dyn., Vol. 10, (1998), pp. 459–474. http://dx.doi.org/10.1007/s001620050077[Crossref]
  • [5] F.A. Lyman: “Vorticity production at a solid boundary”, Appl. Mech. Rev., Vol. 43, (1990), pp. 157–158, In: L.M. Trefethen, R.L. Panton: “Some unanswered questions in fluid mechanics”, Appl. Mech. Rev., Vol. 43, (1990), pp. 153–170.
  • [6] R.L. Panton: “Incompressible Flow”, Wiley-Interscience, New York, 1984.
  • [7] J. Andreopoulos, J.H. Agui: “Wall-vorticity flux dynamics in a two-dimensional turbulent boundary layer”, J. Fluid Mech., Vol. 309, (1996), pp. 45–84. http://dx.doi.org/10.1017/S0022112096001553[Crossref]
  • [8] A. Honkan, Y. Andreopoulos: “Vorticity, strain-rate and dissipation characteristics in the near-wall region of turbulent boundary layers”, J. Fluid Mech., Vol. 350, (1997), pp. 29–96. http://dx.doi.org/10.1017/S0022112097006770[Crossref]
  • [9] C. Truesdell, R.A. Toupin: “The Classical Field Theories”, In: S. Flügge, Ed.: Encyclopedia of Physics, Vol. III/1, Principles of Classical Mechanics and Field Theory, Springer-Verlag, Berlin, 1960.
  • [10] E.W. Billington, A. Tate: “The Physics of Deformation and Flow”, McGraw-Hill, New York, 1981.
  • [11] V. Kolář, D.A. Lyn, W. Rodi: “Ensemble-averaged measurements in the turbulent near wake of two side-by-side square cylinders”, J. Fluid Mech., Vol. 346, (1997), pp. 201–237. http://dx.doi.org/10.1017/S0022112097006307[Crossref]
  • [12] P.M. Gresho: “Incompressible fluid dynamics: some fundamental formulation issues”, Annu. Rev. Fluid Mech., Vol. 23, (1991), pp. 413–453. http://dx.doi.org/10.1146/annurev.fl.23.010191.002213[Crossref]
  • [13] M. Larchevêque: “Pressure field, vorticity field, and coherent structures in two-dimensional incompressible flows”, Theor. Comput. Fluid Dyn., Vol. 5, (1993), pp. 215–222. http://dx.doi.org/10.1007/BF00271659[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_BF02476296
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