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Main Authors: Mortenfeld, Chen, van Reeuwijk, Maarten, Littman, Aviv, Liberzon, Alex
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.21971
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author Mortenfeld, Chen
van Reeuwijk, Maarten
Littman, Aviv
Liberzon, Alex
author_facet Mortenfeld, Chen
van Reeuwijk, Maarten
Littman, Aviv
Liberzon, Alex
contents We experimentally investigate the dynamics of inertial spheres settling through density-stratified interfaces, focusing on the conditions that lead to pronounced deceleration and ``bouncing''. Using synchronized particle tracking and flow visualization in both water-salt and water-glycerol stratifications, we extend the parameter space of previous studies to include significant viscosity contrasts. We show that existing models based solely on density ratios fail to capture the observed retention times and bouncing behavior. Instead, we identify the ratio of particle Froude numbers across the interface, $Fr_2/Fr_1 \le 0.142$, as the critical condition distinguishing bouncing from non-bouncing cases. Using a drag-law of the form $C_d = αRe^{-β}$, this ratio can be expressed in terms of density and viscosity contrasts. The results reveal how inertia, viscosity, and stratification jointly control particle retention, with implications for sedimentation, separation, and biogeophysical transport processes.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21971
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting the phenomenon of bouncing of inertial particles crossing density stratified interfaces
Mortenfeld, Chen
van Reeuwijk, Maarten
Littman, Aviv
Liberzon, Alex
Fluid Dynamics
We experimentally investigate the dynamics of inertial spheres settling through density-stratified interfaces, focusing on the conditions that lead to pronounced deceleration and ``bouncing''. Using synchronized particle tracking and flow visualization in both water-salt and water-glycerol stratifications, we extend the parameter space of previous studies to include significant viscosity contrasts. We show that existing models based solely on density ratios fail to capture the observed retention times and bouncing behavior. Instead, we identify the ratio of particle Froude numbers across the interface, $Fr_2/Fr_1 \le 0.142$, as the critical condition distinguishing bouncing from non-bouncing cases. Using a drag-law of the form $C_d = αRe^{-β}$, this ratio can be expressed in terms of density and viscosity contrasts. The results reveal how inertia, viscosity, and stratification jointly control particle retention, with implications for sedimentation, separation, and biogeophysical transport processes.
title Revisiting the phenomenon of bouncing of inertial particles crossing density stratified interfaces
topic Fluid Dynamics
url https://arxiv.org/abs/2510.21971