Session S37 - New Developments in Mathematical Fluid Dynamics

Friday, July 16, 15:30 ~ 15:55 UTC-3

Similarity and multiscaling for extreme Reynolds pipe and channel flows

Fabio Ramos

Federal University of Rio de Janeiro, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this work, we propose a physical phenomenology suggesting the existence of a transition in the scaling of the wall shear stress from the turbulent regime to the extreme Reynolds regime in channel and pipe flows. This transition leads to a power-law friction formula, which is ultimately associated to an incomplete similarity in the inner variables, and to a complete similarity in the outer variables for the mean velocity profile, which can be represented by a multiscale power-law formula.

Joint work with Gabriel Sanfins (UFRJ), Hamidreza Anbarlooei (UFRJ) and Daniel Cruz (UFRJ).

View abstract PDF