On the role of pressure in elasto-inertial turbulence |
| |
| Authors: | Vincent E Terrapon Yves Dubief Julio Soria |
| |
| Affiliation: | 1. Department of Aerospace and Mechanical Engineering, University of Liege, Liège, Belgiumvincent.terrapon@ulg.ac.be;3. School of Engineering, University of Vermont, Burlington, VT, USA;4. Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Australia;5. Department of Aeronautical Engineering, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia |
| |
| Abstract: | The dynamics of elasto-inertial turbulence is investigated numerically from the perspective of the coupling between polymer dynamics and flow structures. In particular, direct numerical simulations of channel flow with Reynolds numbers ranging from 1000 to 6000 are used to study the formation and dynamics of elastic instabilities and their effects on the flow. Based on the splitting of the pressure into inertial and polymeric contributions, it is shown that the polymeric pressure is a non-negligible component of the total pressure fluctuations, although the rapid inertial part dominates. Unlike Newtonian flows, the slow inertial part is almost negligible in elasto-inertial turbulence. Statistics on the different terms of the Reynolds stress transport equation also illustrate the energy transfers between polymers and turbulence and the redistributive role of pressure. Finally, the trains of cylindrical structures around sheets of high polymer extension that are characteristics of elasto-inertial turbulence are shown to be correlated with the polymeric pressure fluctuations. |
| |
| Keywords: | elasto-inertial turbulence FENE-P maximum drag reduction DNS pressure split |
|
|
