Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T17:47:33.805Z Has data issue: false hasContentIssue false
  • English
  • Français

A Numerical Method for Calculating Viscous Flow Round Multiple-Section Aerofoils

Published online by Cambridge University Press:  07 June 2016

T Seebohm  and
B G Newman
T Seebohm
Affiliation:
McGill University
B G Newman
Affiliation:
McGill University
Get access

Extract

A numerical method is described for predicting incompressible, attached flow round multiple-section aerofoils at high Reynolds number. Interaction between wakes and boundary layers is not accounted for, but the method is nevertheless suitable for optimisation of design in the take-off condition. The solution is obtained in three steps:

  1. (i) The calculation of the outer, potential flow using a conventional Kutta condition for each aerofoil section.

  2. (ii) The calculation of viscous boundary layers and wakes.

  3. (iii) The combination of the inviscid and viscous solutions to effect proper matching at the edges of the boundary layers and wakes and a more accurate specification of the circulation in the inviscid flow.

Type
Research Article
Information
Aeronautical Quarterly , Volume 26 , Issue 3 , August 1975 , pp. 176 - 188
Copyright
Copyright © Royal Aeronautical Society. 1975

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

1 Prager, W Die Druckverteilung an Korpern in ebener Potentialströmung. Physikalische Zeitschrift, XXIX, 1928.Google Scholar
2 Jacob, K W Berechnung der Potentialstrõmung um mehrene Profile mit gegenseitiger Beeinflussung. Mitteilungen aus dem Max-Planck-Institut für Strömungsforschung, Nr.27, 1962.Google Scholar
3 Wilkinson, D H A numerical solution of the analysis and design problems for the flow past one or more aerofoils or cascades. ARC R & M 3545, 1967.Google Scholar
4 Owen, PR Klanfer, L On the laminar boundary layer separation from the leading edge of a thin aerofoil. ARC Current Paper 220, 1955.Google Scholar
5 Crabtree, L F Prediction of transition in the boundary layer on an aerofoil. Journal of the Royal Aeronautical Society, Vol 62, pp 525–528, 1958.Google Scholar
6 Liepmann, H W Investigation of boundary layer transition on curved walls. ARC R & M 7302, 1943 and NACA Wartime Report W-87, 1945.Google Scholar
7 Head, M R Entrainment in the turbulent boundary layer. ARC R & M 3152, 1958.Google Scholar
8 Ludwieg, H Tillmann, W Investigation of the wall shearing stress in turbulent boundary layers. NACA TM 1285, 1950.Google Scholar
9 Spence, DA Prediction of the characteristics of two-dimensional aerofoils. Journal of the Aerospace Sciences, Vol 21, No 9, p 577, 1954.Google Scholar
10 Williams, BR An exact test case for the plane potential flow about two adjacent lifting aerofoils. RAE TR 71197, 1971.Google Scholar
11 Foster, D N Ashill, P R Williams, B R The nature, development and effect of the viscous flow around an aerofoil with high-lift devices. RAE TR 72227, 1972.Google Scholar
12 Hess, J L Smith, AMO Calculation of potential flow about arbitrary bodies. In Progress in Aeronautical Sciences, Volume 8, edited by Küchemann, D, Pergamon Press, 1967.Google Scholar
13 Seebohm, T Boundary layer transition and wake measurements at low Mach number for an aerofoil with single-slotted flap. McGill University, Mechanical Engineering Research Laboratory Report 69–1, 1969.Google Scholar
14 Seebohm, T The prediction of viscous flow round multiple-section aerofoils. PhD thesis, Department of Mechanical Engineering, McGill University, 1972.Google Scholar
15 Foster, D N Irwin, H P A H Williams, B R The two-dimensional flow around a slotted-flap. RAE Technical Report 70164, 1970.Google Scholar