Applied Scientific Research, Section B

, Volume 11, Issue 6, pp 461–464 | Cite as

The non-uniform piston-driven magnetohydrodynamic shock wave

  • Roy M. Gundersen
Article
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Summary

The effects of small variations in cross-sectional area and piston velocity on the propagation of a shock wave into a duct have been considered. The motion of the perfectly conducting fluid is subjected to a transverse magnetic field. In particular an expression for the pressure perturbation behind the shock has been derived.

Keywords

Shock Wave Jump Condition Transverse Magnetic Field Area Variation Pressure Perturbation 
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References

  1. 1).
    Gundersen, R. M., J. Fluid Mech.3 (1958) 553.CrossRefADSMathSciNetMATHGoogle Scholar
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    Gundersen, R. M., J. Fluid Mech.4 (1958) 501.CrossRefADSMathSciNetMATHGoogle Scholar
  3. 3).
    Gundersen, R. M., J. Aerospace Sci.26 (1959) 763.MathSciNetGoogle Scholar
  4. 4).
    Gundersen, R. M., J. Aerospace Sci.27 (1960) 467.MathSciNetGoogle Scholar
  5. 5).
    Gundersen, R. M., Arch. Rat. Mech. Anal.11 (1962) 1.CrossRefMathSciNetMATHGoogle Scholar
  6. 6).
    Gundersen, R. M., Linearized Analysis of One-Dimensional Magnetohydrodynamic Flows, Chapters 1, 2 and 3, Spinger Tracts in Natural Philosophy, (Springer-Verlag, Berlin, 1964).Google Scholar
  7. 7).
    Gundersen, R. M., J. Aerospace Sci.29 (1962) 997.MathSciNetGoogle Scholar

Copyright information

© Martinus Nijhoff 1965

Authors and Affiliations

  • Roy M. Gundersen
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMilwaukeeUSA

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