The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

Eyal Heifetz; Yuval Reuveni; Alexander Gelfgat; Eliezer Kit; John Methven

doi:10.1063/1.2166450

The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

Eyal Heifetz
, Yuval Reuveni
, Alexander Gelfgat
, Eliezer Kit
, John Methven

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

8 Scopus citations

Abstract

The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.

Original language	English
Article number	018101
Journal	Physics of Fluids
Volume	18
Issue number	1
DOIs	https://doi.org/10.1063/1.2166450
State	Published - 2006
Externally published	Yes

Keywords

Dispersion relations
Flow instability
Shear flow
Waves

Access to Document

10.1063/1.2166450

Cite this

@article{0f2ad563d9744d9994743c796de3d782,

title = "The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width",

abstract = "The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.",

keywords = "Dispersion relations, Flow instability, Shear flow, Waves",

author = "Eyal Heifetz and Yuval Reuveni and Alexander Gelfgat and Eliezer Kit and John Methven",

note = "Funding Information: This work is supported by the Israel Science Foundation (Grant 240/01). E.H. wishes to acknowledge Orkan Mehmet Umurhan and Hylke DeVries for illuminating discussions.",

year = "2006",

doi = "10.1063/1.2166450",

language = "אנגלית",

volume = "18",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "1",

}

TY - JOUR

T1 - The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

AU - Heifetz, Eyal

AU - Reuveni, Yuval

AU - Gelfgat, Alexander

AU - Kit, Eliezer

AU - Methven, John

N1 - Funding Information: This work is supported by the Israel Science Foundation (Grant 240/01). E.H. wishes to acknowledge Orkan Mehmet Umurhan and Hylke DeVries for illuminating discussions.

PY - 2006

Y1 - 2006

N2 - The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.

AB - The Kelvin Helmholtz (KH) problem, with zero stratification, is examined as a limiting case of the Rayleigh model of a single shear layer whose width tends to zero. The transition of the Rayleigh modal dispersion relation to the KH one, as well as the disappearance of the supermodal transient growth in the KH limit, are both rationalized from the counterpropagating Rossby wave perspective.

KW - Dispersion relations

KW - Flow instability

KW - Shear flow

KW - Waves

UR - https://www.scopus.com/pages/publications/33645663344

U2 - 10.1063/1.2166450

DO - 10.1063/1.2166450

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:33645663344

SN - 1070-6631

VL - 18

JO - Physics of Fluids

JF - Physics of Fluids

IS - 1

M1 - 018101

ER -

The counterpropagating Rossby wave perspective on Kelvin Helmholtz instability as a limiting case of a Rayleigh shear layer with zero width

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this