Hostname: page-component-745bb68f8f-d8cs5 Total loading time: 0 Render date: 2025-02-11T12:02:30.932Z Has data issue: false hasContentIssue false
  • English
  • Français

The calculation of near-wake flows

Published online by Cambridge University Press:  29 March 2006

S. B. Pope  and
J. H. Whitelaw
S. B. Pope
Affiliation:
Department of Mechanical Engineering, Imperial College, London
J. H. Whitelaw
Affiliation:
Department of Mechanical Engineering, Imperial College, London
Get access Rights & Permissions [Opens in a new window]

Abstract

Calculated flow properties are compared with measurements obtained in two-dimensional isothermal wakes with and without recirculation. The equations of continuity and momentum were solved numerically together with equations which formed a turbulence model. Calculations were made using three turbulence models: the first comprised transport equations for turbulence kinetic energy and the rate of turbulence dissipation; the second and third comprised equations for the rate of turbulence dissipation and two forms of Reynolds-stress equations characterized by different redistribution terms. The results show that, for wakes without recirculation, the particular turbulence model is less important than the boundary condition assumed in the plane of the trailing edge of the body; though the Reynolds-stress models do, of course, provide a better representation of the individual normal stresses. In the case of wakes with recirculation, both the length of the recirculation region and the rate of spread of the downstream wake are underestimated. The second discrepancy is particularly evident and appears to stem from the form of the dissipation equation. A suggestion for improving the modelling of this equation is provided together with necessary justification.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 73 , Issue 1 , 13 January 1976 , pp. 9 - 32
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bradshaw, P. 1973 Effects of streamline curvature on turbulent flow. AGARDograph, no. 169.Google Scholar
Carmody, T. 1964 Establishment of the wake behind a disk A.S.M.E. J. Basic Engng, 86, 869.Google Scholar
Chevray, R. 1968 The turbulent wake of a body of revolution A.S.M.E. J. Basic Engng, 90, 275.Google Scholar
Chevray, R. & Kovasznay, L. S. G. 1969 Turbulence measurements in the wake of a thin flat plate A.I.A.A. J. 7, 1641.Google Scholar
Durao, D. F. G. & Whitelaw, J. H. 1974 Proc. Laser Velocimeter Workshop. Purdue University, 2, 413.
Gosman, A. D., Pun, W. M., Runchal, A. K., Spalding, D. B. & Wolfshtein, M. 1968 Heat and Mass Transfer in Recirculating Flows. Academic.
Khalil, E. & Whitelaw, J. H. 1974 The calculation of local flow properties in two-dimensional furnaces. Imperial College, Dept. Mech. Engng Rep. HTS/74/38.Google Scholar
Klebanoff, P. S. 1954 Characteristics of turbulence in a boundary layer with zero pressure gradient. N.A.C.A. Tech. Note, no. 3178.Google Scholar
Launder, B. E., Morse, A., Rodi, W. & Spalding, D. B. 1972 The prediction of free shear flows – a comparison of the performance of six turbulence models. N.A.S.A. SP-311, p. 361.Google Scholar
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds-stress turbulence closure J. Fluid Mech. 68, 537.Google Scholar
Launder, B. E. & Spalding, D. B. 1972 Mathematical Models of Turbulence. Academic.
Naot, D., Shavit, A. & Wolfshtein, M. 1970 Interaction between components of the turbulent velocity correlation tensor Israel J. Tech. 8, 259.Google Scholar
Patankar, S. V. & Spalding, D. B. 1973 A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows Int. J. Heat. Mass Transfer, 15, 1787.Google Scholar
Pope, S. B. 1975 A more general effective-viscosity hypothesis J. Fluid Mech. 72, 331.Google Scholar
Rodi, W. 1972 The prediction of free turbulent boundary layers by use of a two-equation model of turbulence. Ph.D. thesis, University of London.
Rotta, J. C. 1951 Statistische Theorie Nichthomogener Turbulenz Z. Phys. 129, 547.Google Scholar