Gap size effects on centrifugally and rotationally driven instabilities

Mutabazi, Innocent; Normand, Christiane; Wesfreid, José Eduardo

doi:10.1063/1.858238

Cited by 42 publications

(35 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hence, again, we recover here the generalized Rayleigh criterion for instability, χ(r) < 0, found with similar reasoning in Kloosterziel & van Heijst (1991) and Mutabazi et al (1992). Furthermore, the upper limit for the growth rate isσ < √ |χ | max , which is the maximum growth rate for the inviscid limit, and for viscous cases it is σ max = √ |χ| max − ν(mπ/h) 2 .…”

Section: Linearized Equationssupporting

confidence: 50%

Inertial instability of intense stratified anticyclones. Part 1. Generalized stability criterion

2013

View full text Add to dashboard Cite

International audienceThe stability of axisymmetric vortices to inertial perturbations is investigated by means of linear stability analysis, taking into account stratification, vertical eddy viscosity, as well as finite depth of the flow. We consider different types of circular barotropic vortices in a linearly stratified shallow layer confined with rigid lids. For the simplest case of the Rankine vortex we develop an asymptotic analytic dispersion relation and a marginal stability criterion, which compares well with numerical results. This is a further generalization to the well-known generalized Rayleigh criterion, which is only valid for non-dissipative and non-stratified eddies. Unlike the Rayleigh criterion, it predicts that intense anticyclones may be stable even with a core region of negative absolute vorticity, and that the dissipation and stratification work together to stabilize the flow. Numerical analysis reveals that the stability diagrams for various types of vortices are almost identical in the Rossby, Burger and Ekman parameter space. This allows extension of our analytical solutions for the Rankine vortex to a wide variety of vortices. Furthermore, we show that a more suitable parameter for the intensity of the vortex is the vortex Rossby number, while for the inviscid case it is the local normalized vorticity. These predictions are in agreement with laboratory experiments presented in part 2

show abstract

Section: Linearized Equationssupporting

confidence: 50%

Inertial instability of intense stratified anticyclones. Part 1. Generalized stability criterion

2013

View full text Add to dashboard Cite

show abstract

“…It is well known that when the relative vorticity becomes finite, |ζ /f | ∼ 1, the rotation alters the stability of two-dimensional flow with respect to three-dimensional perturbations. The inertial [Johnson, 1963;Yanase et al, 1993], centrifugal [Kloosterziel and VanHeijst, 1991;Mutabazi et al, 1992], or symmetric [Hoskins, 1974;Haine and Marshall, 1998] instability may induce a selective destabilization of anticyclonic vorticity regions. …”

Section: Submesoscale Vortex Wakementioning

confidence: 99%

“…For inviscid and circular vortices, the generalized Rayleigh criterion [Kloosterziel and VanHeijst, 1991;Mutabazi et al, 1992] is a sufficient condition that all anticyclonic vortex columns are unstable to inertialcentrifugal perturbations if somewhere in the flow we get…”

Section: Inertial-centrifugal Instability Of Shallow Stratified Anticmentioning

confidence: 99%

Oceanic Island Wake Flows in the Laboratory

Stegner

2014

Geophysical Monograph Series

View full text Add to dashboard Cite

“…Some laboratory data with rotation e ect have been compared to verify the proposed model. Several studies were focused on the vortex instability in rotating curved channel ows (for example, Mutabazi et al [8], Matsson and Alfredsson [9], Selmi et al [10], Matsson and Alfredsson [11], Wang and Cheng [12], Wang [13], etc.). Although these studies of the rotating curved channel ow can be regarded as qualitative references, there are several important di erences between the rotating curved boundary layer and curved channel ows.…”

Section: Introductionmentioning

confidence: 98%

Effect of rotation on Goertler vortices in the boundary layer flow on a curved surface

Chen

Lin

2002

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYThis paper presents a numerical prediction of the formation of Goertler vortices on a curved surface with e ect of rotation. The criterion of ow visualization marking the onset position of Goertler vortices is employed in the present paper. For facilitating the numerical study, the computation is carried out in the transformed x and Á plane. The results show that the onset position characterized by the Goertler number, depends on the rotation number Ro, the Prandtl number and the wave number. The value of critical Goertler number increases with the increase in negative rotation, while the value of Goertler number decreases with the increase in positive rotation on a concave surface. On the contrary, the value of critical Goertler number decreases with the increase in negative rotation on a convex surface. The obtained critical Goertler number and wave number are compared with the previous theoretical and experimental data.

show abstract

Gap size effects on centrifugally and rotationally driven instabilities

Cited by 42 publications

References 31 publications

Inertial instability of intense stratified anticyclones. Part 1. Generalized stability criterion

Inertial instability of intense stratified anticyclones. Part 1. Generalized stability criterion

Oceanic Island Wake Flows in the Laboratory

Effect of rotation on Goertler vortices in the boundary layer flow on a curved surface

Contact Info

Product

Resources

About