Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-21T17:16:05.887Z Has data issue: false hasContentIssue false
  • English
  • Français

The calculation of separation bubbles in interactive turbulent boundary layers

Published online by Cambridge University Press:  20 April 2006

Tuncer Cebeci  and
Suzanne M. Schimke
Tuncer Cebeci
Affiliation:
Mechanical Engineering Department, California State University, Long Beach, California
Suzanne M. Schimke
Affiliation:
Aerodynamics Research Department, Douglas Aircraft Company, Long Beach, California
Get access Rights & Permissions [Opens in a new window]

Abstract

A viscous–inviscid interaction procedure is presented for computing incompressible separation bubbles in two-dimensional flows. The analysis consists of the solution of the inviscid-flow equations with a conformal-mapping method and the solution of the boundary-layer equations with an inverse procedure. The boundary-layer equations employ the Cebeci–Smith algebraic eddy-viscosity formulation. The coupling between the inviscid and boundary-layer equations is established through the Hilbert integral by using Veldman's suggestion. An empirical method is used to calculate the location of transition, which is found to play a key role in predicting the behaviour of separating flows. Numerical solutions are presented for transitional bubbles on an NACA 663-018 airfoil at two angles of attack for a chord Reynolds number of 2 × 106. Comparisons wth experiment show that the flow properties of the separation bubbles can be predicted very well with this procedure provided that an accurate estimate of transition location is made.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 131 , June 1983 , pp. 305 - 317
Copyright
© 1983 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

Arena, A. V. & Mueller, T. J. 1980 On the laminar separation, transition, and turbulent reattachment of low Reynolds number flows near the leading edge of airfoils AIAA J. 18, 747–753.Google Scholar
Bradshaw, P., Cebeci, T. & Whitelaw, J. H. 1981 Engineering Calculation Methods for Turbulent Flows. Academic.
Briley, W. R. & Mcdonald, H. 1975 Numerical prediction of incompressible separation bubbles J. Fluid Mech. 69, 631–656.Google Scholar
Burshall, W. J. & Loftin, L. K. 1951 Experimental investigation of localized regions of laminar-boundary-layer separation. NACA TN2338.
Cebeci, T. & Bradshaw, P. 1977 Momentum Transfer in Boundary Layers. Hemisphere/McGraw-Hill.
Cebeci, T. & Smith, A. M. O. 1974 Analysis of Turbulent Boundary Layers. Academic.
Cebeci, T., Stewartson, K. & Williams, P. G. 1980 Separation and reattachment near the leading edge of a thin airfoil at incidence. AGARD-CP-291, Paper 20.
Chen, K. K. & Thyson, N. A. 1971 Extension of Emmons’ spot theory to flows on blunt bodies AIAA J. 5, 821.Google Scholar
Crimi, P. & Reeves, B. L. 1976 Analysis of leading-edge separation bubbles on airfoils AIAA J. 14, 1548–1555.Google Scholar
Gault, D. E. 1955 An experimental investigation of regions of separated laminar flow. NACA TN3505.
Halsey, N. D. 1979 Potential flow analysis of multielement airfoils using conformal mapping AIAA J. 17, 1281–1288.Google Scholar
Kwon, O. K. & Pletcher, R. H. 1979 Prediction of incompressible separated boundary layers including viscous–inviscid interaction. Trans. ASME I: J. Fluids Engng 101, 466–472.Google Scholar
Tani, I. 1964 Low-speed flows involving bubble separations Prog. Aero. Sci. 5, 70–103.Google Scholar
Veldman, A. E. P. 1979 A numerical method for the calculation of laminar incompressible boundary layers with strong-inviscid interaction. NLR TR79023L.