Page 248 - Computational Fluid Dynamics for Engineers
P. 248
References 237
0.000
0.0 0.2 0.4 0.6
0.8
s/c
Fig. 7.12. Variation of (a) local skin-friction coefficient c/ and (b) displacement thickness
6
6* with angle of incidence on the upper surface of the NACA 0012 airfoil for R c — 3 x 10 .
References
[I] Cebeci, T.: Turbulence Models and Their Application, Horizons Pub., Long Beach,
Calif, and Springer, Heidelberg, 2004.
[2] Cebeci, T.: Analysis of Turbulent Flows, Elsevier, London, 2004.
[3] Goldstein, S.: "On Laminar Boundary Layer Flow near a Point of Separation," Quart.
J. Mech. & Appl. Math, Vol. 1, pp. 43-69, 1948.
[4] Cebeci, T.: An Engineering Approach to the Calculation of Aerodynamic Flows, Hori-
zons Pub., Long Beach, Calif, and Springer, Heidelberg, 1999.
[5] Catherall, D. and Mangier, K.W.: "The Interpretation of Two-Dimensional Laminar
Boundary Layer Equations Past the Point of Vanishing Skin Friction," J. Fluid Mech.,
Vol. 26, p. 163, 1966.
[6] Briley, W. R.: "A Numerical Study of Laminar Separation Bubbles Using the Navier-
Stokes Equations," J. Fluid Mech., Vol. 47, no. 4, pp. 713-736, 1971.
[7] LeBalleur, J.C.: "Couplage Visqueux-Non Visqueux: Methode Numerique et Ap-
plications Aux Ecoulements Bidimensionnels Transsoniques et Supersoniques," La
Recherche Aerospatiale, March-April 1978.
[8] Carter, J. and Wornom, S. F.: "Solutions for Incompressible Separated Boundary Lay-
ers Including Viscous-Inviscid Interaction," In: Aerodynamic Analysis Requiring Ad-
vanced Computers, NASA SP-347, p. 125, 1975.
[9] Veldman, A. E. P.: "A Numerical Method for the Calculation of Laminar Incompress-
ible Boundary Layers with Strong Inviscid Interaction," NLRTR 79023L, 1979.
[10] Smith, A. M. O.: "Improved Solutions of the Falkner and Skan Boundary-Layer Equa-
tions," Sherman M. Fairchild Fund paper FF-10, Inst. Aero. Sci., 1954.
[II] Iglish, R.: "Exact Calculation of Laminar Boundary Layer in Longitudinal Flow Over
a Flat Plate with Homogeneous Suction," NACA Tech. Memo. 1205, 1949.
Problems
7-1. Using the computer program of Section 7.4, study the numerical accuracy
of the box method for Falkner-Skan flows m = 1 and 0. Compare the wall