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The accelerated convergence of heat transfer series in high frequency oscillating boundary layer flows of compressible fluids

Published online by Cambridge University Press:  14 November 2011

R. J. Gribben
R. J. Gribben
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
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Synopsis

Series, previously derived, for the heat transfer at the surface of a cylinder fixed in a compressible gas which flows with a high frequency oscillation about a steady mean velocity, are considered in the range of frequencies for which the convergence is slow. Different methods of accelerated convergence, suitable for Fourier and power series, are applied over different parts of the cycle and graphs of the heat transfer over a period of the oscillation are obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 3-4 , 1984 , pp. 271 - 280
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

1Gribben, R. J.. On oscillations in a compressible laminar boundary layer. Proc. Roy. Soc. Edinburgh Sect. A 91 (1981), 1–13.CrossRefGoogle Scholar
2Kiefer, J. E. and Weiss, G. H.. A comparison of two methods for accelerating the convergence of Fourier series. Comput. Math. Appl 7 (1981), 527–535.CrossRefGoogle Scholar
3Dyke, M. Van. Analysis and improvement of perturbation series. Quart. J. Mech. Appl. Math. 27 (1974), 423–450.CrossRefGoogle Scholar