TY - JOUR
T1 - SPINUP FROM REST OF IMMISCIBLE FLUIDS.
AU - Baker, G. R.
AU - Israeli, M.
PY - 1981
Y1 - 1981
N2 - The spinup from rest of two immiscible fluids of different densities and kinematic viscosities in a vertically mounted cylinder is investigated. Attention is restricted to small internal rotational Froude numbers, in which case the interface remains essentially horizontal. By requiring small enough Ekman numbers, E. H. Wedemeyer's approximation may be used to obtain partial differential equations describing the inward convection and diffusion of the azimuthal velocity in both layers. Solutions are found illustrating the effects of varying the density, viscosity, and height of each layer. Qualitative agreement with experiment is reported.
AB - The spinup from rest of two immiscible fluids of different densities and kinematic viscosities in a vertically mounted cylinder is investigated. Attention is restricted to small internal rotational Froude numbers, in which case the interface remains essentially horizontal. By requiring small enough Ekman numbers, E. H. Wedemeyer's approximation may be used to obtain partial differential equations describing the inward convection and diffusion of the azimuthal velocity in both layers. Solutions are found illustrating the effects of varying the density, viscosity, and height of each layer. Qualitative agreement with experiment is reported.
UR - http://www.scopus.com/inward/record.url?scp=0019654667&partnerID=8YFLogxK
U2 - 10.1002/sapm1981653249
DO - 10.1002/sapm1981653249
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AN - SCOPUS:0019654667
SN - 0022-2526
VL - 65
SP - 249
EP - 268
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 3
ER -