Shock wave in transonic small-disturbance flow (Q1808131)
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scientific article; zbMATH DE number 1373286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shock wave in transonic small-disturbance flow |
scientific article; zbMATH DE number 1373286 |
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Shock wave in transonic small-disturbance flow (English)
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19 December 1999
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The Rankine-Hugoniot relation for shock waves in transonic small-disturbance flow is studied by inner and outer expansions. The inner expansion to the second-order approximation shows that the inner shock wave is perpendicular to the free-stream velocity. The outer expansion shows that the outer shock wave obeys the transonic equivalence rule with lift of \textit{H. K. Cheng} and \textit{M. M. Hafez} [J. Fluid Mech. 72, 161-187 (1975; Zbl 0322.76025)]. Numerical solutions obtained by a full potential code for three-dimensional wings at free-stream Mach number 0.94 confirm the perpendicularity property of inner shock wave. We also discuss the admittance of shock wave in inner flow by using the asymptotic matching theory.
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Rankine-Hugoniot relation
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transonic small-disturbance flow
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inner expansion
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second-order approximation
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inner shock wave
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outer expansion
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outer shock wave
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transonic equivalence rule
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perpendicularity property
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asymptotic matching theory
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