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SUMMARY:Convective mass transfer from a droplet into a submerging falling 
 film - Julien Landel ( DAMTP)
DTSTART:20160114T113000Z
DTEND:20160114T123000Z
UID:TALK63443@talks.cam.ac.uk
CONTACT:Catherine Pearson
DESCRIPTION:We investigate the convective mass transfer of dilute passive 
 tracers contained in small viscous drops into a submerging falling liquid 
 film. This problem has applications in industrial cleaning\, domestic dish
 washers\, and decontamination of hazardous material. The film Peclet numbe
 r is very high\, whereas the drop Peclet number varies from 0.1 to 1. We m
 odel the mass transfer using an analogy with Newton's law of cooling. This
  empirical model is supported by an analytical model solving the quasi-ste
 ady two-dimensional advection--diffusion equation in the film that is coup
 led with a time-dependent one-dimensional diffusion equation in the drop. 
 We find excellent agreement between our experimental data and the two mode
 ls. The transport characteristic time is related to the drop diffusion tim
 e scale\, as diffusion within the drop is the limiting process. Our theore
 tical model not only predicts the well-known relationship between the Sher
 wood number and the external Reynolds number in the case of a well-mixed d
 rop Sh ~ Re^(1/3)\, it also predicts a correction in the case of a non-uni
 form drop concentration. We compare and discuss this correction with exper
 imental data. This material is based upon work supported by the Defense Th
 reat Reduction Agency under Contract No. HDTRA1-12-D-0003-0001.\n
LOCATION:Open Plan Area\, BP Institute\, Madingley Rise CB3 0EZ
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