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Chebyshev solution of laminar boundary layer flow. (English) Zbl 0756.76058

Summary: An expansion procedure using the Chebyshev polynomials is proposed by using S. E. El-Gendi’s method [Comput. J. 12, 282-287 (1969; Zbl 0198.502)], which yields more accurate results than those computed by P. M. Beckett [Int. J. Comput. Math. 14, 183-190 (1983; Zbl 0518.76031)] and A. R. Wadia and F. R. Payne [Int. J. Comput. Math. 9, 163-172 (1981; Zbl 0454.76062)] as indicated from solving the Falkner-Skan equation, which uses a boundary value technique. This method is accomplished by starting with Chebyshev approximation for the highest- order dervative and generating approximations to the lower-order derivatives through integration of the highest-order derivative.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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References:

[1] El-Gendi S. E., Computer J. 12 pp 282– (1969)
[2] DOI: 10.1080/00207168308803383 · Zbl 0518.76031 · doi:10.1080/00207168308803383
[3] Orszag, S. A. and Gottlieb, D. 1977. ”Numerical analysis of spectral methods: theory and applications”. Philadelphia: SIAM. · Zbl 0412.65058
[4] DOI: 10.1017/S0022112071002842 · Zbl 0237.76027 · doi:10.1017/S0022112071002842
[5] Rosenhead L., Laminar Boundary Layers (1963) · Zbl 0115.20705
[6] DOI: 10.1080/00207168108803238 · Zbl 0454.76062 · doi:10.1080/00207168108803238
[7] White F. M., Viscous Fluid Flow (1974) · Zbl 0356.76003
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