DTIC ADA1038474: Stability of Transonic Flows along pdf

DTIC ADA1038474: Stability of Transonic Flows along

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Transonic flows along a nozzle are described based on a one-dimensional model. It is shown that flows along the expanding portion of the nozzle are stable. On the other hand, flows with standing shock waves along a contracting duct are dynamically unstable. This was conjectured by the author based on the study of noninteracting wave patterns. The author had shown earlier that supersonic and subsonic flows along a duct with various cross sections are stable. Basic to our analysis are estimates showing that shock waves tend to decelerate along an expanding duct and accelerate along a contracting duct

• Creator/s: Defense Technical Information Center
• Date: 6/1/1981
• Year: 1981
• Book Topics/Themes: DTIC Archive, Liu, Tai-ping, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *MATHEMATICAL MODELS, *NOZZLE GAS FLOW, *TRANSONIC FLOW, STABILITY, ONE DIMENSIONAL, SHOCK WAVES, GAS DYNAMICS, BOUNDARY VALUE PROBLEMS, CROSS SECTIONS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES, ASYMPTOTIC NORMALITY, STANDING WAVES, HYPERGEOMETRIC FUNCTIONS

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