2021/11/22 by Marco Edoardo Rosti, Rosti, Marco E, Prasad Perlekar +3 · 2 citations
Chemical Engineering · Engineering · Medicine · #Blood properties and coagulation #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Particle Dynamics in Fluid Flows #Rheology and Fluid Dynamics Studies
paper · pdf · doi:10.48550/arxiv.2111.11224
openalex publication_date 2021/11/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We use direct numerical simulations to study homogeneous, and isotropic\nturbulent flows of dilute polymer solutions at high Reynolds and Deborah\nnumbers. We find that for small wavenumbers k, the kinetic energy spectrum\nshows Kolmogorov--like behavior which crosses over at a larger k to a novel,\nelastic scaling regime, E(k) \∼ k-\ξ, with \ξ \≈ 2.3. We study\nthe contribution of the polymers to the flux of kinetic energy through scales,\nand find that it can be decomposed into two parts: one increase in effective\nviscous dissipation, and a purely elastic contribution that dominates over the\nnonlinear flux in the range of k over which the elastic scaling is observed.\nThe multiscale balance between the two fluxes determines the crossover\nwavenumber which depends non-monotically on the Deborah number. Consistently,\nstructure functions also show two scaling ranges, with intermittency present in\nboth of them in equal measure.\n