Internship and thesis proposals
Impact of rough boundaries on a turbulent flow

Domaines
Non-equilibrium Statistical Physics
Hydrodynamics/Turbulence/Fluid mechanics

Type of internship
Expérimental et théorique
Description
The interaction between turbulent flows and rough walls is a classic problem in fluid mechanics, with applications ranging from industrial pipelines to atmospheric boundary layers. While the effects of uncorrelated random roughness on turbulence have been extensively studied, the role of correlated roughness—where surface irregularities exhibit long-range spatial dependencies—remains poorly understood. During this internship we will study experimentally the flow generated by rotating a rough disk around its axis. The disk's surface is a realization of a random surface modeled as a fractional Gaussian field. The correlations of the height h(r) of this surface are characterized by H, the Hurst exponent, that measures the correlation of the surface. Our first experimental observations show that the torque required to rotate the disk varies non-trivially with H. This suggests that the roughness’s correlation structure significantly affects the drag and energy dissipation in the flow. We will perform velocity measurement to investigate how the boundary affects the spatial structure of the flow and in particular we aim to understand how surface correlations alter the energy transfer mechanisms, including the Kolmogorov cascade, and modify velocity fluctuations in the turbulent boundary layer.

Contact
Francois PETRELIS
Laboratory : LPENS - UMR 8023
Team : Non-linear physics
Team Website
/ Thesis :    Funding :