On the Problem of Weak Mach Reflection

  • Sakurai Akira
    Mathematics Research Center, U. S. Army, The University of Wisconsin and Tokyo Electrical Engineering College

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To find clue to the well-known problem of the discrepancy in the weak Mach reflection, fundamental assumptions on which the three shock theory by von Neumann is based are examined and they are shown to become inadequate as the shock waves become weaker. With use of this fact, the three shock theory is modified, giving the Mach shock angles consistent with the experimental values. For further study, an approach to utilize the flow field near the triple point is suggested and proves to give the angle values which agree well with the experimental data.

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