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NEW MEAN VELOCITY SCALING LAWS FOR TURBULENT POISEUILLE FLOW WITH WALL TRANSPIRATION

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A new mean velocity scaling law for a turbulent Poiseuille flow with wall transpiration was found using Lie group analysis
and validated thereafter using DNS. The region of validity covers the whole core region of the channel. Though the scaling law is of log
type the slope constant differs from the von Kármán constant and is equal to 0.3. Further, extended forms of the linear viscous sublayer
law and the near-wall log-law have been derived, which, as a particular case, include the laws related to the wall-bounded flows without
transpiration.

Author(s):

Victor Avsarkisov    
Chair of Fluid Dynamics, TU Darmstadt
Germany

Martin Oberlack    
Chair of Fluid Dynamics, TU Darmstadt
Germany

Sergio Hoyas    
CMT Motores Térmicos, Univ. Politècnica de València
Spain

George Khujadze    
Chair of Fluid Dynamics, TU Darmstadt
Germany