2017/10/26 by P. Claudin, Philippe Claudin, O. Duran +3
Chemical Engineering · Engineering · Environmental Science · Physics and Astronomy · #Anomaly (physics) #Condensed matter physics #Dimensionless quantity #Fluid Dynamics and Turbulent Flows #Hydrology and Sediment Transport Processes #Instability #Laminar flow #Materials science #Mechanics #Pattern formation #Physics #Péclet number #Reynolds number #Rheology and Fluid Dynamics Studies #Surface finish #Turbulence #physics.flu-dyn
paper · pdf · doi:10.1017/jfm.2017.711
published as J. Fluid Mech., vol. 832 (2017) · 13 pages, 7 figures
openalex publication_date 2017/10/26 · arxiv created 2017/10/28 · arxiv updated 2017/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We theoretically investigate the pattern formation observed when a fluid flows over a solid substrate that can dissolve or melt. We use a turbulent mixing description that includes the effect of the bed roughness. We show that the dissolution instability at the origin of the pattern is associated with an anomaly at the transition from a laminar to a turbulent hydrodynamic response with respect to the bed elevation. This anomaly, and therefore the instability, disappears when the bed becomes hydrodynamically rough, above a threshold roughness-based Reynolds number. This suggests a possible mechanism for the selection of the pattern amplitude. The most unstable wavelength scales as observed in nature on the thickness of the viscous sublayer, with a multiplicative factor that depends on the dimensionless parameters of the problem.