TY - JOUR
T1 - Flow in a containerless liquid system
T2 - Ring-sheared drop with finite surface shear viscosity
AU - Gulati, Shreyash
AU - Riley, Frank P.
AU - Hirsa, Amir H.
AU - Lopez, Juan M.
N1 - Funding Information:
This work was supported by NASA Grant No. NNX13AQ22G.
Publisher Copyright:
© 2019 American Physical Society..
PY - 2019/4
Y1 - 2019/4
N2 - The ring-sheared drop is a flow configuration for microgravity, where surface tension provides containment and shear in the bulk is driven primarily by the action of surface shear viscosity. A drop is constrained by two thin contact rings, i.e., one stationary at a southern latitude and the other at the same latitude but in the north and rotating. Since we consider a microgravity setting, the drop is not restricted to being small. Furthermore, we allow for arbitrarily small surface shear viscosity, so that in general the interfacial and bulk flows are viscously coupled. Our numerical simulations show that even small surface shear viscosity (quantified nondimensionally by a Boussinesq number) can produce a significant meridional bulk flow at moderate ring rotation rates (quantified by a Reynolds number Re). At very low Re, the bulk flow is viscously dominated and surface viscosity makes very little difference. At high Re, the secondary flow is very weak if the surface viscosity is negligible and the flow tends toward solid-body rotation.
AB - The ring-sheared drop is a flow configuration for microgravity, where surface tension provides containment and shear in the bulk is driven primarily by the action of surface shear viscosity. A drop is constrained by two thin contact rings, i.e., one stationary at a southern latitude and the other at the same latitude but in the north and rotating. Since we consider a microgravity setting, the drop is not restricted to being small. Furthermore, we allow for arbitrarily small surface shear viscosity, so that in general the interfacial and bulk flows are viscously coupled. Our numerical simulations show that even small surface shear viscosity (quantified nondimensionally by a Boussinesq number) can produce a significant meridional bulk flow at moderate ring rotation rates (quantified by a Reynolds number Re). At very low Re, the bulk flow is viscously dominated and surface viscosity makes very little difference. At high Re, the secondary flow is very weak if the surface viscosity is negligible and the flow tends toward solid-body rotation.
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U2 - 10.1103/PhysRevFluids.4.044006
DO - 10.1103/PhysRevFluids.4.044006
M3 - Article
AN - SCOPUS:85065024654
SN - 2469-990X
VL - 4
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 4
M1 - 044006
ER -