2015/12/31 by Nairita Pal, Prasad Perlekar, Anupam Gupta +1 · 24 citations
Engineering · Mathematics · Physics and Astronomy · #Binary number #Dissipation #Dynamics (music) #Fluid Dynamics and Mixing #Fluid Dynamics and Turbulent Flows #Fractal #Geometry #K-epsilon turbulence model #K-omega turbulence model #Mathematical analysis #Mathematics #Mechanics #Multifractal system #Particle Dynamics in Fluid Flows #Physics #Reduction (mathematics) #Statistical physics #Thermodynamics #Turbulence #cond-mat.soft #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.93.063115
published in Physical review. E 93(6), 063115 (American Physical Society) · 11 pages, 5 figures
openalex publication_date 2016/06/24 · arxiv created 2016/11/14 · arxiv updated 2016/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the challenging problem of the advection of an active, deformable, finite-size droplet by a turbulent flow via a simulation of the coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations. In these equations, the droplet has a natural two-way coupling to the background fluid. We show that the probability distribution function of the droplet center of mass acceleration components exhibit wide, non-Gaussian tails, which are consistent with the predictions based on pressure spectra. We also show that the droplet deformation displays multifractal dynamics. Our study reveals that the presence of the droplet enhances the energy spectrum E(k), when the wave number k is large; this enhancement leads to dissipation reduction.