Asymptotic analysis of long-wave Görtler vortices in hypersonic boundary layer (Q2760824)
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scientific article; zbMATH DE number 1682329
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic analysis of long-wave Görtler vortices in hypersonic boundary layer |
scientific article; zbMATH DE number 1682329 |
Statements
13 December 2001
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Navier-Stokes equations
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hypersonic viscous gas flow
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inviscid local limit
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boundary layer
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nonlinear long-wave Görtler vortices
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concave surface
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weak viscous-inviscid interaction
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maximum wavelength
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linear approximation
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three-layered perturbed flow structure
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surface heating
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Asymptotic analysis of long-wave Görtler vortices in hypersonic boundary layer (English)
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The author examines an asymptotic (high Reynolds and Görtler numbers) model of nonlinear long-wave Görtler vortices localized in a boundary layer near a concave surface in a hypersonic viscous gas flow in the regime of weak viscous-inviscid interaction. The maximum wavelength is evaluated, and numerical solutions are obtained in the inviscid local limit in the linear approximation. It is shown that the increase in free-stream Mach number stabilizes the vortices, and a change in Prandtl number has no significant effect on the vortices. If the vortices form a three-layered perturbed flow structure, the author shows analytically that the surface heating has a stabilizing effect on the vortices.
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