TY - JOUR
T1 - Surface instabilities and patterning at liquid/vapor interfaces
T2 - Exemplifications of the "hairy ball theorem"
AU - Bormashenko, Edward
N1 - Publisher Copyright:
© 2015.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - Application of the "hairy ball theorem" to the analysis of the surface instabilities inherent for liquid/vapor interfaces is reported. When a continuous tangential velocity field exists on the surface of the liquid sample which is homeomorphic to a ball, zero velocity points will be necessarily present at the surface. The theorem is exemplified with the analysis of the instability occurring under the rapid evaporation of polymer solutions. Zero velocity points, accumulating pores, enable direct visualization of the instability. The patterning may be essentially different on the surface of a torus.
AB - Application of the "hairy ball theorem" to the analysis of the surface instabilities inherent for liquid/vapor interfaces is reported. When a continuous tangential velocity field exists on the surface of the liquid sample which is homeomorphic to a ball, zero velocity points will be necessarily present at the surface. The theorem is exemplified with the analysis of the instability occurring under the rapid evaporation of polymer solutions. Zero velocity points, accumulating pores, enable direct visualization of the instability. The patterning may be essentially different on the surface of a torus.
KW - Benard-Marangoni cells
KW - Hairy ball theorem
KW - Pattern
KW - Surface instability
KW - Zero velocity points
UR - http://www.scopus.com/inward/record.url?scp=84928944920&partnerID=8YFLogxK
U2 - 10.1016/j.colcom.2015.04.003
DO - 10.1016/j.colcom.2015.04.003
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AN - SCOPUS:84928944920
SN - 2215-0382
VL - 5
SP - 5
EP - 7
JO - Colloids and Interface Science Communications
JF - Colloids and Interface Science Communications
ER -