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SUMMARY:A Theoretical Analysis of Liquid Sheet Fragmentation: Mechanisms a
 nd Dynamics - Ian Le Meur 
DTSTART:20230505T120000Z
DTEND:20230505T130000Z
UID:TALK199108@talks.cam.ac.uk
CONTACT:108503
DESCRIPTION:In this presentation\, we explore the disintegration of thin f
 luid sheets\, a topic of interest specifically with regards to the modelli
 ng of aerosol transmission of disease. We begin by discussing the configur
 ation of Savart sheets\, where a liquid jet impinges a small disc and form
 s a film that spreads radially until it disintegrates at a certain critica
 l radius. Several methods have been used to determine this radius\, includ
 ing a force balance analysis by Taylor\, which predicts the thickness of t
 he sheet to decrease with increasing radius and leads to a non-zero film c
 urvature. However\, Taylor's analysis does not provide an explicit model f
 or the disintegration. Lin's perturbative instability analysis involves Fo
 urier transforms and normal modes to determine criticality conditions\, wh
 ile Villermaux focuses on the dimensionless parameter β\, representing th
 e thickness of the boundary layer formed on the disc. Our study focuses on
  the Navier-Stokes equation and establishes a criticality condition on the
  Weber number\, without assuming a self-similar velocity profile. We apply
  a thin film approximation for the velocity profile and isolate the curvat
 ure of the film to derive this condition. Our analysis provides a theoreti
 cal prediction for the disintegration of thin fluid sheets based on moment
 um balance and surface tension considerations and demonstrates the importa
 nce of considering the velocity profile within the film.
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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