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SUMMARY:Effective boundary conditions at a regularly microstructured wall 
 - Professor Alessandro Bottaro\, Univerisity of Genoa
DTSTART:20191206T130000Z
DTEND:20191206T140000Z
UID:TALK132385@talks.cam.ac.uk
CONTACT:Connor O'Pray
DESCRIPTION:The talk will discuss effective boundary conditions\, correct 
 to second order in a small parameter epsilon\, for a rough wall with perio
 dic micro-indentations. The length scale of the indentations is l\, and ep
 silon = l/L << 1\, with L a characteristic length of the macroscopic probl
 em. At leading order the Navier slip condition is recovered\; at next orde
 r the slip velocity includes a term arising from the streamwise\npressure 
 gradient. At second order also a transpiration velocity appears at the fic
 titious wall where the effective boundary conditions are enforced. For eas
 e of derivation\, the microscopic theory\, based on a power series expansi
 on of the dependent variables\, will be limited to the case of two-\ndimen
 sional roughness\, the three-dimensional extension being trivial. The appl
 ication to a macroscopic problem is carried out considering the case of th
 e Hiemenz stagnation point flow over a rough wall.\n
LOCATION:JDB Seminar Room\, CUED.
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