Based on the model of anisotropic wall turbulence in the near-wall layer and the momentum model in the flow core, velocity profiles in the entire region of the turbulent flow of an incompressible fluid in a circular pipe and plane channel have been obtained. The differences in the profiles among the layers are due to the change in the structure of turbulent vortices.
Similar content being viewed by others
References
J. O. Hinze, Turbulence [Russian translation], Fizmatgiz, Moscow (1963).
M. R. Head and P. Bandyopadhyay, New aspects of turbulent structure, J. Fluid Mech., 107, 297–337 (1981).
A. E. Perry and M. S. Chong, On the mechanism of wall turbulence, J. Fluid Mech., 119, 173–217 (1982).
L. Labraga, B. Lagraa, A. Mazouz, and L. Keirsbulck, Propagation of shear-layer structures in the near-wall region of a turbulent boundary layer, Experiments in Fluids, 33, 670–676 (2002).
V. N. Nikolaevskii, Spatial averaging and the theory of turbulence, in: Vortices and Waves [in Russian], Mir, Moscow (1984), pp. 266–335.
V. N. Nikolaevskiy, Angular Momentum in Geophysical Turbulence. Continuum Spatial Averaging Method, Kluwer Academic Publishers, Dordrecht (2003).
V. A. Babkin, Anisotropic turbulence in incompressible liquid flow between parallel plane walls, Prikl. Mat. Mekh., 49, No. 3, 401–405 (1985).
V. A. Babkin, Turbulent flow in the near-wall region as atmospheric-fluid flow, Inzh.-Fiz. Zh., 75, No. 5, 69–73 (2002).
A. C. Poje and J. L. Lumley, A model for large-scale structures in turbulent shear flows, J. Fluid Mech., 285, 349–369 (1995).
J. Heinloo, The description of externally influenced turbulence according for a preferred orientation of eddy rotation, Eur. Phys. J. B, 62, 471–476 (2008).
V. N. Nikolaevskii, Condition of generation of the proper rotation of liquid particles on the wall in a flow, Izv. Akad. Nauk ArmSSR, Mekhanika, 41, No. 2, 51–55 (1988).
S. A. Arsen’ev and V. N. Nikolaevskii, Turbulent-vortex flows in channels and reservoirs-coolers of an atomic power plant, Atomnaya Énerg., 90, No. 5, 353–359 (2001).
V. A. Babkin, Heat exchange in a circular pipe in modeling of turbulent air flow by oriented-fluid flow, Inzh.-Fiz. Zh., 79, No, 1, 155–161 (2006).
J. Laufer, The structure of turbulence in fully developed pipe flow, Rep. No. 1174, NACA (1954).
G. Conte-Bellot, Ecoulement turbulent entre deux parois paralleles [Russian translation], Mir, Moscow (1968).
A. V. Boiko, G. R. Grek, A. V. Dovgal’, and V. V. Kozlov, Physical Mechanisms of Transition to Turbulence in Open Flows [in Russian], Institute of Computer Investigations, Moscow–Izhevsk (2006).
D. E. Coles, The law of the wake in the turbulent boundary layer, J. Fluid Mech., 1, 191–226 (1956).
D. B. Spalding, A single formula for the law of the wall, J. Appl. Mech., 28, 455–457 (1961).
M. Kh. Ibragimov, V. I. Subbotin, V. P. Bobkov, et al., Turbulent Flow Structure and the Mechanism of Heat Transfer in Channels [in Russian], Atomizdat, Moscow (1978).
B. S. Petukhov and A. F. Polyakov, Heat Transfer in Mixed Turbulent Convection [in Russian], Nauka, Moscow (1986).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published as a matter for discussion.
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 84, No. 2, pp. 400–408, March–April, 2011.
Rights and permissions
About this article
Cite this article
Babkin, V.A., Nikolaevskii, V.N. Turbulent fluid flows in a circular pipe and plane channel and models of mesoscale turbulence. J Eng Phys Thermophy 84, 430–439 (2011). https://doi.org/10.1007/s10891-011-0489-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-011-0489-5