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SUMMARY:A Fluctuating Hydrodynamics Model for Multiphase Flows - Dr John B
 ell\, Lawrence Berkeley National Laboratory
DTSTART:20230306T130000Z
DTEND:20230306T140000Z
UID:TALK197839@talks.cam.ac.uk
CONTACT:Samantha Selvini
DESCRIPTION:A wide range of mesoscale phenomena\, both natural and technol
 ogical\, involve multiphase flows and phase separation.  Examples range fr
 om fundamental processes (e.g.\, boiling\, droplet nucleation\, emulsions\
 , dynamics of thin films and particulate flows) to complex scenarios such 
 as phase separation of polymer mixtures and intracellular biological proce
 sses.  A key feature of these problems is that the dynamics occurs on nano
 meter to micrometer scales.  \n\nAt those scales\, thermal fluctuations pl
 ay an important role in the overall dynamics and are expected to have sign
 ificant impact on the overall behavior of the system\, particularly for pr
 oblems that are far from equilibrium.  In order to capture the effects of 
 thermal fluctuations\, Landau and Lifshitz proposed a modified version of 
 the Navier-Stokes equations\, referred to as fluctuating hydrodynamics (FH
 D) that incorporates stochastic flux terms designed to represent the effec
 t of fluctuations. These stochastic fluxes are constructed so that the FHD
  equations are consistent with equilibrium fluctuations from statistical m
 echanics. Here\, we generalize fluctuating hydrodynamics to a model for mu
 ltiphase\, multicomponent mixtures based on an N-component form of the Flo
 ry-Huggins extension to regular solution theory. The thermodynamics of the
  system is described by a free energy that includes entropy and enthalpy o
 f mixing as well as non-local terms representing interfacial tension. The 
 multiphase model is incorporated into a fluctuating hydrodynamics (FHD) mo
 del for nonideal liquid mixtures. The presentation will discuss the basic 
 formulation of the model and sketch the derivation of the equations of mot
 ion. Numerical results will be presented validating the model and illustra
 ting the range of phenomena that it can represent. Finally\, we will show 
 how fluctuations shift the stability region of the Rayleigh-Plateau instab
 ility that describes the breakup of fluid threads.\n\n_About the speaker_\
 n\nDr John Bell is a Senior Scientist at Lawrence Berkeley National Labora
 tory and Chief Scientist of Berkeley Lab’s Computational Research Divisi
 on.   His research focuses on the development and analysis of numerical me
 thods for partial differential equations arising in science and engineerin
 g. He has made contributions in the areas of finite volume methods\, numer
 ical methods for low Mach number flows\, adaptive mesh refinement\, stocha
 stic differential equations\, interface tracking and parallel computing.\n
 He has also worked on the application of these numerical methods to proble
 ms from a broad range of fields\, including combustion\, shock physics\, s
 eismology\, atmospheric flows\, flow in porous media\, mesoscale fluid mod
 eling and astrophysics.  He is a Fellow of the Society of Industrial and A
 pplied Mathematics and a member of the National Academy of Sciences.\n\n"R
 egister here for the FREE talk.":https://docs.google.com/forms/d/e/1FAIpQL
 Sc4tMc1YU5A-DWLYiUaqftIRLbaFsLJ0VuWc2F-KlvS3il7OA/viewform?usp=sf_link\n\n
 Monday 6 March\n13:00 - 14:00\nHybrid event\n\nJJ Thomson seminar room\nMa
 xwell Centre\nJ Tomson ave\, Cambridge\nCB3 0HE\n\nOr join us on Zoom:\n\n
 "Zoom link":https://us06web.zoom.us/j/83557475574?pwd=MlVFY1lWNTRRTTNmTEpG
 eFBDVWw5UT09\n\nMeeting ID: 835 5747 5574\nPasscode: 716462\n"Find your lo
 cal number":https://us06web.zoom.us/u/kdmQtIKdbI
LOCATION:Hybrid - Maxwell Centre &amp\; on Zoom
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