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Hypersonic viscous flow over an inclined wedge with heat transfer

  • S. I. Pai
  • S. F. Shen

Summary

The hypersonic viscous flow over an inclined wedge with heat transfer has been investigated by a generalized von Karman integral method for the boundary layer equations of a compressible fluid. With the introduction of a temperature function S, the fundamental equations are reduced to two ordinary differential equations for the boundary layer thickness δ (x) and a heat transfer function f (x), with a parameter S 0 characterizing the rate of heat transfer. Solutions of δ (x) and f (x) in terms of various S0 are discussed. Illustrative numerical examples are given in order to show the effect of interaction of shock wave with the boundary layer flow at hypersonic speed with both large and small heat transfer. It is revealed that the most important role in affecting the local skin friction and heat transfer coefficients is played by the viscosity coefficient at the body surface.

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References

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    Shen, S. F.: Hypersonic Flow over an Insulated wedge with Viscosity Effects. Part I of an Sc. D. Thesis, Dept. of Aero. Eng. M.I.T. 1949 also Jour. Math. Phys. Vol. 31, No. 3, Oct. 1952, pp. 192–205.zbMATHGoogle Scholar
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Copyright information

© Springer Fachmedien Wiesbaden 1955

Authors and Affiliations

  • S. I. Pai
    • 1
  • S. F. Shen
    • 1
  1. 1.University of MarylandCollege ParkUSA

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