Two-dimensional instability of flow in a rough channel

J. M. Floryan

doi:10.1063/1.1865252

Two-dimensional instability of flow in a rough channel

J. M. Floryan

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

52 Citations (Scopus)

Abstract

Linear stability of a two-dimensional flow in a channel with distributed surface roughness is considered. The structure of the disturbance field is related to the structure of the roughness when the ratio of the respective wave numbers is rational; they are not related if this ratio is irrational. It is shown that the stability problem is not unique in the former case but unique in the latter. It is found that disturbances in the form of traveling waves are destabilized by the presence of the roughness. A very good approximation of the critical Reynolds numbers can be found using only the dominant Fourier mode to represent roughness geometry. © 2005 American Institute of Physics.

Original language	English
Journal	Physics of Fluids
Volume	17
Issue number	4
DOIs	https://doi.org/10.1063/1.1865252
Publication status	Published - Apr 2005
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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title = "Two-dimensional instability of flow in a rough channel",

abstract = "Linear stability of a two-dimensional flow in a channel with distributed surface roughness is considered. The structure of the disturbance field is related to the structure of the roughness when the ratio of the respective wave numbers is rational; they are not related if this ratio is irrational. It is shown that the stability problem is not unique in the former case but unique in the latter. It is found that disturbances in the form of traveling waves are destabilized by the presence of the roughness. A very good approximation of the critical Reynolds numbers can be found using only the dominant Fourier mode to represent roughness geometry. {\textcopyright} 2005 American Institute of Physics.",

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AU - Floryan, J. M.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2005/4

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N2 - Linear stability of a two-dimensional flow in a channel with distributed surface roughness is considered. The structure of the disturbance field is related to the structure of the roughness when the ratio of the respective wave numbers is rational; they are not related if this ratio is irrational. It is shown that the stability problem is not unique in the former case but unique in the latter. It is found that disturbances in the form of traveling waves are destabilized by the presence of the roughness. A very good approximation of the critical Reynolds numbers can be found using only the dominant Fourier mode to represent roughness geometry. © 2005 American Institute of Physics.

AB - Linear stability of a two-dimensional flow in a channel with distributed surface roughness is considered. The structure of the disturbance field is related to the structure of the roughness when the ratio of the respective wave numbers is rational; they are not related if this ratio is irrational. It is shown that the stability problem is not unique in the former case but unique in the latter. It is found that disturbances in the form of traveling waves are destabilized by the presence of the roughness. A very good approximation of the critical Reynolds numbers can be found using only the dominant Fourier mode to represent roughness geometry. © 2005 American Institute of Physics.

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DO - 10.1063/1.1865252

M3 - RGC 21 - Publication in refereed journal

SN - 1070-6631

VL - 17

JO - Physics of Fluids

JF - Physics of Fluids

IS - 4

ER -

Two-dimensional instability of flow in a rough channel

Abstract

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