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Monday, January 26, 2009
3:00 PM - 4:00 PM
CNLS Conference Room (TA-3, Bldg 1690)

Colloquium

The friction factor and roughness-induced criticality in turbulent pipe flow in two and three dimensions

Nigel Goldenfeld
University of Illinois at Urbana-Champaign

Are turbulence and critical phenomena analogous to one another? I demonstrate the connection, introducing the concept of roughness-induced criticality, and analyze friction factor data for turbulent rough-pipe flows, taken by Nikuradze in 1933. These data can be interpreted using a momentum-transfer theory due to Gioia and Chakraborty and extended to two-dimensional (2D) turbulent soap film flows. I present the results of direct numerical simulations in 2D which show strong confirmation of both roughness-induced criticality and the momentum-transfer predictions for the friction factor.

Host: Mahesh Bandi, MPA-10/CNLS