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UID:0-1164@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20250604T123000

DTEND;TZID=Asia/Jerusalem:20250604T133000

DTSTAMP:20250518T081436Z

URL:https://aerospace.technion.ac.il/events/mean-field-population-balance-
 equations-for-ganglia-dynamics-in-porous-media-models/

SUMMARY:Mean-field population balance equations for ganglia dynamics in por
 ous media models
DESCRIPTION:Lecturer:Dr. Andreas Yiotis \n Faculty:\n Institute:Technical U
 niversity of Crete\, Greece\n Location:Classroom 165\, ground floor\, Libr
 ary\, Aerospace Eng.\n Zoom: https://technion.zoom.us/j/93899557822\n Abst
 ract: We study experimentally the dynamics of non-wetting ganglia flowing 
 simultaneously with a wetting fluid in a quasi-two-dimensional porous medi
 um consisting of random obstacles. The ganglia continuously merge\, formin
 g larger ones (coalescence)\, and break up into smaller ones (fragmentatio
 n)\, leading to an overall dynamic equilibrium between the two processes o
 ver longer time scales. We develop a clustering algorithm for the identifi
 cation of fragmentation and coalescence events that records the size of ga
 nglia prior to and immediately after each event from high-resolution video
 s of the immiscible flow experiments. The results provide significant insi
 ght into the main physical features of these two processes\, such as gangl
 ia size distributions\, breakup and coalescence frequency as a function of
  total flow rate\, and the size distributions of the ganglia formed by eit
 her the fragmentation or coalescence of other ones. One of the salient fea
 tures of the fragmentation process in our study is that ganglia that are s
 maller than the typical pore size exhibit a higher probability of producin
 g two almost identical children (in size)\, whereas larger ganglia break u
 p into two children of different sizes. In the latter case\, one of the ch
 ildren is found to have a dimension that is practically equal to the typic
 al pore size. Our experimental results are also interpreted in the framewo
 rk of a mean-field approach\, where the dynamics of the ganglia sizes is e
 xpressed through an integro-differential population balance equation that 
 comprises terms for the description of the rates of size gains and losses 
 by either fragmentation or coalescence. We recover appropriate expressions
  for the relevant coalescence and fragmentation kernels\, as functions of 
 the ganglia sizes that participate in each event. A rather surprising resu
 lt is that for a given ganglion size population\, we obtain an equilibrium
  between the gains by fragmentation and the losses by coalescence. Further
 more\, the opposite is also true\, as the population gains by coalescence 
 are found to be equal to the losses by fragmentation.\n Details: \n 
CATEGORIES:Seminars
LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng.
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Classroom 165\, ground floo
 r\, Library\, Aerospace Eng.\, Haifa\, ;X-APPLE-RADIUS=100;X-TITLE=:geo:0,
 0

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