Summary
Turbulence is a complex phenomenon, characterized by many interacting degrees of spatial and temporal freedom. It is widespread, and indeed nearly the rule, in the flow of classical fluids. The complexity of the underlying equations has impeded analytical progress and therefore direct numerical simulations of the equations, as well as experimental work, are key to making further progress. Here, special attention is given to the role of low temperature helium as a test fluid, including the superfluid phase which also exhibits turbulence.
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References
D.J. Tritton, Physical Fluid Dynamics. Clarendon Press, Oxford (1988).
G.A. Glatzmaier, R.C. Coe, L. Hongre, P.H. Roberts, Nature 401, 885 (1999).
E.M. Spiegel, Ann. Rev. Astron. Astrophys. 9, 323 (1971).
B.B. Mandelbrot, Scientific American 280, 50 (1999).
National Research Council Report: Condensed Matter and Materials Physics: Basic Research for Tomorrow’s Technology, 308 pages, National Academy Press (1999).
J.J. Niemela and K.R. Sreenivasan, J. Low Temp. Phys. 146, 499-510 (2007).
A. Oberbeck, Annalen der Physik und Chemie 7, 271 (1879).
M. Van Dyke, An Album of Fluid Motion The Parabolic Press 1982.
F.H. Busse, Rep. Prog. Phys. 41, 1929 (1978).
A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941).
A.S. Monin, A.M. Yaglom, Statistical Fluid Mechanics, vol. 2, MIT Press, Cambridge, USA (1975).
K.R. Sreenivasan, Phys. Fluids 7, 2778 (1995).
U. Frisch, Turbulence (Cambridge University Press, 1995).
W.F. Vinen, J.J. Niemela, J. Low Temp. Phys. 128, 167 (2002).
K.R. Sreenivasan, R.J. Donnelly, Adv. Appl. Mech. 37, 239-276 (2001).
J. Nikuradse, NASA TT F-10359 (1966). Translated from the German original Forsch. Arb. Ing.-Wes. No. 356 (1932).
C.J. Swanson, B. Julian, G.G. Ihas, R.J. Donnelly, J. Fluid. Mech. 461, 51 (2002).
B.J. McKeon, C.J. Swanson, M.V. Zagarola, R.J. Donnelly, A.J. Smits, J. Fluid Mech. 511, 41 (2004).
J.J. Niemela, L. Skrbek, K.R. Sreenivasan, R.J. Donnelly, Nature 404, 837 (2000).
E.M. Sparrow, R.B. Husar, R.J. Goldstein, J. Fluid Mech. 41, 793 (1970).
S.A. Theerthan, J.H. Arakeri, J. FLuid Mech. 373, 221 (1998).
W.V.R. Malkus, Proc. R. Soc. Lond. A 225, 196 (1954).
L.N. Howard, in Proc. 11 th Intern. Cong. Appl. Mech. (ed. H. Gortler), Springer, Berlin, p. 1109 (1966).
P. Constantin, C.R. Doering, J. Stat. Phys. 94, 159 (1999).
R.H. Kraichnan, Phys. Fluids 5, 1374 (1962).
P. Roche, B. Castaing, B. Chabaud, B. Hebral, J. Sommeria, Euro. Phys. J. 24, 405 (2001).
G. Ahlers, Phys. Rev. E. 63, art. no. 015303 (2001).
J.J. Niemela, K.R. Sreenivasan, J. Fluid. Mech. 481, 355 (2003).
R. Verzicco, J. Fluid Mech. 473, 201 (2002).
M.R. Smith, Ph.D. thesis, University of Oregon, Eugene (1992).
M.R. Smith, R.J. Donnelly, N. Goldenfeld, W.F. Vinen, Phys. Rev. Lett. 71, 2583 (1993).
S.R. Stalp, Ph.D. thesis, University of Oregon, Eugene (1998).
J.J. Niemela, R.J. Donnelly, K.R. Sreenivasan, J. Low Temp. Physics 138 537 (2005).
C.F. Barenghi, S. Hulton, D.C. Samuels, Phys Rev. Lett. 89 275301 (2002).
C.F. Barenghi, R.J. Donnelly, W.F. Vinen, J. Low Temp. Phys. 52 189 (1983).
S.R. Stalp, L. Skrbek, R.J. Donnelly, Phys. Rev. Lett. 82, 4831 (1999).
K.R. Sreenivasan, Phys. Fluids 27, 1048 (1984).
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Niemela, J.J. (2009). Aspects of Hydrodynamic Turbulence in Classical and Quantum Systems. In: Hasan, S.S., Gangadhara, R.T., Krishan, V. (eds) Turbulence, Dynamos, Accretion Disks, Pulsars and Collective Plasma Processes. Astrophysics and Space Science Proceedings. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8868-1_1
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