Abstract
A theoretical model is constructed of turbulent stratified flow in a flat horizontal channel with allowance for coherent structures that arise in it. The ordered part is separated from the turbulence of the flow and to describe the Reynolds-type equations are derived. The remaining part of the turbulence is taken into account parametrically in the form of an effective exchange coefficient. The flow is divided into a core, in which the ordered structures are manifested quite clearly, and wall regions, in which ordered large-scale structures are weakly manifested. To study the coherent structures in the core of the flow, an approach analogous to one already used to model ordered structures in open flows [4] is used. Monin-Obukhov scaling theory is used to describe the turbulence in the wall region.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
J. Nikuradze, “Kinematographische analyse einer turbulenten Strömung,” Z. Angew. Math. Mech.,9, 495 (1929).
M. Kh. Ibragimov, V. I. Subbotin, V. P. Bobkov,et al., Structure of Turbulent Flow and the Mechanism of Heat Transfer in Channels [in Russian], Atomizdat, Moscow (1978).
H. E. Fieder, “Coherent structures in turbulent flows,” Prog. Aerosp. Sci.,25, 231 (1988).
A. V. Latyshev and A. E. Ordanovich, “Modeling of ordered structures in open turbulent flows,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 45 (1981).
A. S. Monin and A. M. Yaglom, Statistical Hydromechanics. Mechanics of Turbulence, Part 1 [in Russian], Nauka, Moscow (1965).
V. A. Kovalev and A. E. Ordanovich, “Physicomathematical model of a turbulent horizontal stratified flow with allowance for coherent structures, Part 1. Construction of the model,” Paper No. 2771-81 deposited at VINITI June 8, 1981 [in Russian], Moscow (1981).
V. A. Kovalev and A. E. Ordanovich, “Physicomathematical model of a turbulent horizontal stratified flow with allowance for coherent structures, Part 2. Calculation of the structure and characteristics of the flow in a flat channel in the case of unstable stratification,” Paper No. 3170-81 deposited at VINITI June 29, 1981 [in Russian], Moscow (1981).
S. Ya. Gertsenshtein and Yu. M. Shtemler, “Finite-amplitude perturbations in a boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 150 (1976).
V. V. Galushko and A. E. Ordanovich, “Two-layer model of Ekman boundary layer of the atmosphere,” Meteorol. Gidrol., No. 4, 33 (1978).
A. K. M. Hussain and W. C. Reynolds, “Measurement in fully developed turbulent channel flow,” Trans. ASME. J. Fluids Eng.,95, 568 (1975).
V. A. Kuleshov, A. F. Polyakov, and Yu. V. Tsykulev, “Experimental investigation of heat transfer in a horizontal channel,” Teplofiz. Vys. Temp.,15, 1316 (1977).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 32–38, May–June, 1991.
Rights and permissions
About this article
Cite this article
Kovalev, V.A., Ordanovich, A.E. Theoretical investigation of coherent structures in stratified turbulent channel flow. Fluid Dyn 26, 343–348 (1991). https://doi.org/10.1007/BF01059002
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01059002