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Title: Criteria of turbulent transition in parallel flows
Authors: Dou, H.-S. 
Khoo, B.C. 
Keywords: Criteria
Energy gradient
Role of disturbance
Turbulent transition
Issue Date: 30-May-2010
Source: Dou, H.-S., Khoo, B.C. (2010-05-30). Criteria of turbulent transition in parallel flows. Modern Physics Letters B 24 (13) : 1437-1440. ScholarBank@NUS Repository.
Abstract: Based on the energy gradient method, criteria for turbulent transition are proposed for pressure driven flow and shear driven flow, respectively. For pressure driven flow, the necessary and sufficient condition for turbulent transition is the presence of the velocity inflection point in the averaged flow. For shear driven flow, the necessary and sufficient condition for turbulent transition is the existence of zero velocity gradient in the averaged flow profile. It is shown that turbulent transition can be effected via a singularity of the energy gradient function which may be associated with the chaotic attractor in dynamic system. The role of disturbance in the transition is also clarified in causing the energy gradient function to approach the singularity. Finally, it is interesting that turbulence can be controlled by modulating the distribution of the energy gradient function. © 2010 World Scientific Publishing Company.
Source Title: Modern Physics Letters B
ISSN: 02179849
DOI: 10.1142/S0217984910023815
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