Transition mechanisms within the boundary-layer flow over slender vs. broad rotating cones

Z. Hussain; S. J. Garrett; S. O. Stephen

Transition mechanisms within the boundary-layer flow over slender vs. broad rotating cones

Z. Hussain^*
, S. J. Garrett
, S. O. Stephen

^*Corresponding author for this work

College of Engineering and Physical Sciences

University of Leicester
University College Birmingham

Research output: Chapter in Book/Published conference output › Conference publication

Abstract

We describe progress in classifying the convective instability characteristics of the boundary-layer flow over the family of rotating cones. Existing experimental and theoretical studies are discussed which lead to the clear hypothesis of a centrifugal instability mode that dominates over slender cones and manifests as Görtler-type spiral vortices. Although a formulation consistent with the classic rotating-disk problem has been successful in predicting the stability characteristics over broad cones, it is unable to identify such a centrifugal mode as the half-angle is reduced. An alternative formulation is introduced and an asymptotic analysis summarized which identifies such a centrifugal mode.

Original language	English
Title of host publication	40th AIAA Fluid Dynamics Conference
Publication status	Published - 2010
Event	40th AIAA Fluid Dynamics Conference - Chicago, IL, United States Duration: 28 Jun 2010 → 1 Jul 2010

Publication series

Name	40th AIAA Fluid Dynamics Conference

Conference

Conference	40th AIAA Fluid Dynamics Conference
Country/Territory	United States
City	Chicago, IL
Period	28/06/10 → 1/07/10

Cite this

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title = "Transition mechanisms within the boundary-layer flow over slender vs. broad rotating cones",

abstract = "We describe progress in classifying the convective instability characteristics of the boundary-layer flow over the family of rotating cones. Existing experimental and theoretical studies are discussed which lead to the clear hypothesis of a centrifugal instability mode that dominates over slender cones and manifests as G{\"o}rtler-type spiral vortices. Although a formulation consistent with the classic rotating-disk problem has been successful in predicting the stability characteristics over broad cones, it is unable to identify such a centrifugal mode as the half-angle is reduced. An alternative formulation is introduced and an asymptotic analysis summarized which identifies such a centrifugal mode.",

author = "Z. Hussain and Garrett, \{S. J.\} and Stephen, \{S. O.\}",

year = "2010",

language = "English",

isbn = "9781617389221",

series = "40th AIAA Fluid Dynamics Conference",

booktitle = "40th AIAA Fluid Dynamics Conference",

note = "40th AIAA Fluid Dynamics Conference ; Conference date: 28-06-2010 Through 01-07-2010",

}

TY - GEN

T1 - Transition mechanisms within the boundary-layer flow over slender vs. broad rotating cones

AU - Hussain, Z.

AU - Garrett, S. J.

AU - Stephen, S. O.

PY - 2010

Y1 - 2010

N2 - We describe progress in classifying the convective instability characteristics of the boundary-layer flow over the family of rotating cones. Existing experimental and theoretical studies are discussed which lead to the clear hypothesis of a centrifugal instability mode that dominates over slender cones and manifests as Görtler-type spiral vortices. Although a formulation consistent with the classic rotating-disk problem has been successful in predicting the stability characteristics over broad cones, it is unable to identify such a centrifugal mode as the half-angle is reduced. An alternative formulation is introduced and an asymptotic analysis summarized which identifies such a centrifugal mode.

AB - We describe progress in classifying the convective instability characteristics of the boundary-layer flow over the family of rotating cones. Existing experimental and theoretical studies are discussed which lead to the clear hypothesis of a centrifugal instability mode that dominates over slender cones and manifests as Görtler-type spiral vortices. Although a formulation consistent with the classic rotating-disk problem has been successful in predicting the stability characteristics over broad cones, it is unable to identify such a centrifugal mode as the half-angle is reduced. An alternative formulation is introduced and an asymptotic analysis summarized which identifies such a centrifugal mode.

UR - https://www.scopus.com/pages/publications/78649457951

M3 - Conference publication

AN - SCOPUS:78649457951

SN - 9781617389221

T3 - 40th AIAA Fluid Dynamics Conference

BT - 40th AIAA Fluid Dynamics Conference

T2 - 40th AIAA Fluid Dynamics Conference

Y2 - 28 June 2010 through 1 July 2010

ER -

Transition mechanisms within the boundary-layer flow over slender vs. broad rotating cones

Abstract

Publication series

Conference

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