Nonlinear critical layers in the boundary layer on a rotating disk

J. S B Gajjar

doi:10.1007/s10665-006-9096-4

Nonlinear critical layers in the boundary layer on a rotating disk

Research output: Contribution to journal › Article › peer-review

Abstract

The work of Gregory, Stuart and Walker (1955, Proc R Soc Ser A 406:93-106) and Hall (1986, Phil Trans R Soc London Ser A 248:155-199) is extended to include nonlinear effects for the stationary cross-flow vortex. It is shown that amplitude-dependent neutral modes are described by a forced Haberman equation. The corrections to the neutral wavenumbers and waveangles are derived and it is suggested that the nonlinear neutral modes can have wavenumbers decreased by an O(1) amount as compared to linear theory. © Springer Science + Business Media B.V. 2006.

Original language	English
Pages (from-to)	205-217
Number of pages	12
Journal	Journal of Engineering Mathematics
Volume	57
Issue number	3
DOIs	https://doi.org/10.1007/s10665-006-9096-4
Publication status	Published - Mar 2007

Keywords

Cross-flow
Hydrodynamic stability
Nonlinear
Rotating disk flow

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10.1007/s10665-006-9096-4

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abstract = "The work of Gregory, Stuart and Walker (1955, Proc R Soc Ser A 406:93-106) and Hall (1986, Phil Trans R Soc London Ser A 248:155-199) is extended to include nonlinear effects for the stationary cross-flow vortex. It is shown that amplitude-dependent neutral modes are described by a forced Haberman equation. The corrections to the neutral wavenumbers and waveangles are derived and it is suggested that the nonlinear neutral modes can have wavenumbers decreased by an O(1) amount as compared to linear theory. {\textcopyright} Springer Science + Business Media B.V. 2006.",

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AB - The work of Gregory, Stuart and Walker (1955, Proc R Soc Ser A 406:93-106) and Hall (1986, Phil Trans R Soc London Ser A 248:155-199) is extended to include nonlinear effects for the stationary cross-flow vortex. It is shown that amplitude-dependent neutral modes are described by a forced Haberman equation. The corrections to the neutral wavenumbers and waveangles are derived and it is suggested that the nonlinear neutral modes can have wavenumbers decreased by an O(1) amount as compared to linear theory. © Springer Science + Business Media B.V. 2006.

KW - Cross-flow

KW - Hydrodynamic stability

KW - Nonlinear

KW - Rotating disk flow

U2 - 10.1007/s10665-006-9096-4

DO - 10.1007/s10665-006-9096-4

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VL - 57

SP - 205

EP - 217

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

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ER -

Nonlinear critical layers in the boundary layer on a rotating disk

Abstract

Keywords

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