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From the analytical theory to hypersonic aircraft design

  • Part IV Aerodynamics and Rarefied gas Flows
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Asymptotic Modelling in Fluid Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 442))

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Abstract

Hypersonic flows around axisymmetrical power-law slender bodies are calculated for high, but finite, Mach numbers, and for low angles of attack. This is done by a small-perturbation expansion of self-similar solutions using the equivalence principle. The stream functions are found and a solidification principle is used in order to define hypersonic aircrafts.

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References

  1. Guiraud, J. P., Vallée D. and Zolver. R. (1965) “Bluntness effects in hypersonic small disturbance theory.” in Basic development in Fluid Dynamics edited by Maurice Holt, (Academic Press. New York-London), Vol. l, pp.127–246

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  2. Hayes, D., Probstein, R. F. (1966): “Application of similar solutions to steady flows”, In Hypersonic Flow Theory (Academic press. New york-London) vol. 1, pp. 74–85

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  3. Kubota. T. (1957): “Investigation of flow around simple bodies in hypersonic flow.” (Guggenheim Aeronautical laboratory, California Institute of Technology) Memorandum No. 40.

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  4. Merlen, A., Andriamanalina, D. (1992) “Analytical solutions for hypersonic flow past slender power-law bodies at small angle of attack” AIAA Journal Vol 30, number 11, pp. 2683–2693

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  5. Sedov, L. (1972): “Algebraic Integrals for Self-Similar Motions” In Similarity and Dimensional Methods in Mechanics (Academic Press Inc., New York) pp.166–168.

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Authors and Affiliations

  1. Laboratoire de Mécanique de Lille, Cité scientifique, 59655, Villeneuve d'Ascq, France

    A. Merlen

Authors
  1. A. Merlen
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Editor information

Pierre-Antoine Bois Emmanuel Dériat Renée Gatignol Alain Rigolot

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© 1994 Springer

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Merlen, A. (1994). From the analytical theory to hypersonic aircraft design. In: Bois, PA., Dériat, E., Gatignol, R., Rigolot, A. (eds) Asymptotic Modelling in Fluid Mechanics. Lecture Notes in Physics, vol 442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59414-0_69

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  • DOI: https://doi.org/10.1007/3-540-59414-0_69

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59414-7

  • Online ISBN: 978-3-540-49265-8

  • eBook Packages: Springer Book Archive

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