Initial Stages of Axisymmetric Shock-on-Shock Interaction for Blunt Bodies

作者: John P. Moran

DOI: 10.1063/1.1692916

关键词: Equations of motionBlast waveMechanicsShock (mechanics)Flow (mathematics)PhysicsAngle of attackSeries (mathematics)Plane (geometry)Time derivative

摘要: A study is made of the transient flow in shock layer a blunt‐nosed axisymmetric body which, while moving supersonically at zero angle attack, intercepted head‐on by plane blast wave. The analysis based on Taylor‐series expansion space and time variables shapes shocks contact surfaces. Coefficients series are determined numerically from recursion relations derived substituting into exact three‐dimensional equations motion jump conditions. continued analytically beyond their natural region convergence recasting them as fractions. Comparisons results obtained successive truncations show to be sufficiently accurate provide checks accuracy more approximate methods. Although present restricted initial stages interaction, they include value derivative stagnation‐point pressure immediately after blast‐wave impingement. Also included new approach, approximation theory quasilinearization, adaptation solutions inverse blunt‐body problem direct problem, whose solution required determine steady‐state flow.

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