Abstract
Extensive experimental material [1–4] indicates that ordered (coherent) structures play an important part in determining the nature of the flow, the generation of Reynolds stresses and turbulence energy, and the transport of heat, momentum, and passive admixtures in a turbulent flow. In the present paper, a model is constructed for describing coherent structures in which, given the profile of the mean velocity, one can determine the characteristic sizes, the propagation velocities, and also the frequency and amplitude characteristics of these ordered motions. The model is based on the analogy between the ordered formations and secondary flows in a subsidiary laminar flow whose velocity profile is the same as the turbulent profile of the mean velocity. The influence of small-scale pulsations is described by the introduction of the coefficient of turbulent viscosity. In the framework of the model, numerical calculations are made for two-dimensional turbulent flows in a mixing layer, a jet, and a wake behind a cylinder. The results of the calculations are compared with experimental data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
A. Roshko, “A structure of turbulent shear flows: a new look,” AIAA J.,14, 1349 (1976).
C. D. Winant and F. K. Browand, “Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number,” J. Fluid Mech.,63, 237 (1974).
F. K. Browand and P. D. Weidman, “Large scales in the developing mixing layer,” J. Fluid Mech.,76, 127 (1976).
P. O. A. L. Davies and A. I. Yule, “Coherent structures in turbulence,” J. Fluid Mech.,69, 513 (1975).
W. C. Reynolds, “Large-scale instabilities of turbulent wakes,” J. Fluid Mech.,54, 481 (1972).
Y. Y. Chan, “Wavelike eddies in a turbulent jet,” AIAA J.,15, 992 (1977).
J. T. C. Lin, “Nonlinear development of an instability wave in a turbulent wake,” Phys. Fluids,14, 2251 (1971).
W. C. Reynolds and A. K. M. F. Hussain, “The mechanics of an organized wave in turbulent shear flow. Pt. 3. Theoretical models and comparison with experiments,” J. Fluid Mech.,54, 263 (1972).
A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics, MIT Press (1971).
H. Schlichting, Boundary Layer Theory, McGraw-Hill, New York (1968).
V. N. Ivanov and A. E. Ordanovich, “Medium-scale exchange coefficient and estimate of it based on Kármán vortex streets in the atmosphere,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana,10, 475 (1974).
M. Lessen and P. J. Singh, “Stability of turbulent jets and wakes,” Phys. Fluids,17, 1329 (1974).
M. Lessen and F. Pailett, “Marginal instability of turbulent shearing layers and the break point of a jet,” Phys. Fluids,19, 943 (1976).
A. A. Townsend, Structure of Turbulent Shear Flow, Cambridge University Press (1956).
S. Ya. Gertsenshtein and Yu. M. Shtemler, “Perturbations of finite amplitude in a boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 150 (1976).
S. Ya. Gertsenshtein and Yu. M. Shtemler, “Nonlinear development of perturbations in boundary layers and their stability,” Dokl. Akad. Nauk SSSR,234, 1277 (1977).
S. A. Maslowe, “Weakly nonlinear stability of a viscous free shear layer,” J. Fluid Mech.,79, 689 (1977).
L. J. S. Bradbury, “The structure of a self-preserving turbulent plane jet,” J. Fluid Mech.,23, 31 (1965).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 45–52, July–August, 1981.
Rights and permissions
About this article
Cite this article
Latyshev, A.V., Ordanovich, A.E. Simulation of ordered structures in open turbulent flows. Fluid Dyn 16, 524–531 (1981). https://doi.org/10.1007/BF01094594
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01094594