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SUMMARY:Fluid dynamics in superhydrophobic channels structured with micro 
 scale grooves - Demetrios Papageorgiou\, Imperial College
DTSTART:20191206T160000Z
DTEND:20191206T170000Z
UID:TALK132352@talks.cam.ac.uk
CONTACT:73696
DESCRIPTION:Pressure-driven flows in channels are considered when one or b
 oth walls are structured with a large number of parallel micro grooves tha
 t are aligned longitudinally with the flow. \nThe grooves have finite dept
 h and are typically filled with gas\, enabling the liquid in the channel t
 o flow in an almost\nshear-free configuration known as a ``plastron". This
  leads to some interesting two-phase mathematical problems with mixed boun
 dary conditions - no slip on solid surfaces and zero shear at liquid gas m
 enisci that are allowed to have arbitrary curvature. Due to the imposed pr
 essure gradient the meniscus curvature changes as we traverse the channel 
 and in general a fully 3D flow ensues.\nThis talk will be in three parts: 
 (i) a complete description of solutions in the 2D case assuming the flow t
 o be parallel\; (ii) allowing 3D effects through slow longitudinal variati
 ons of the meniscus curvature leading to a semi-analytical construction\; 
 (iii) the hydrodynamic bi-global instability\ncharacteristics of such flow
 s at arbitrary Reynolds numbers. All numerical work is constructed to be\n
 spectrally accurate and is coupled with singularity removal at boundary di
 scontinuities.\nThe stability results will also be compared with experimen
 tal observations.\n
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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