TY - JOUR
T1 - Slow, steady ascent in a power-law fluid with temperature-dependent viscosity
AU - Vynnycky, M.
AU - O'Brien, M. A.
PY - 2013/5
Y1 - 2013/5
N2 - In this paper, we consider the problem of a hot buoyant spherical body with a zero-traction surface ascending through a power-law fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ε{lunate}. For mild viscosity variations, Levich's classical result for an isoviscous Newtonian fluid is generalized; more severe viscosity variations lead to an involved four-regime asymptotic structure that has similarities with that found for a Newtonian fluid with temperature-dependent viscosity.
AB - In this paper, we consider the problem of a hot buoyant spherical body with a zero-traction surface ascending through a power-law fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ε{lunate}. For mild viscosity variations, Levich's classical result for an isoviscous Newtonian fluid is generalized; more severe viscosity variations lead to an involved four-regime asymptotic structure that has similarities with that found for a Newtonian fluid with temperature-dependent viscosity.
KW - Asymptotics
KW - Slow flow
KW - Temperature-dependent viscosity
UR - http://www.scopus.com/inward/record.url?scp=84873803235&partnerID=8YFLogxK
U2 - 10.1016/j.jnnfm.2012.12.001
DO - 10.1016/j.jnnfm.2012.12.001
M3 - Article
AN - SCOPUS:84873803235
SN - 0377-0257
VL - 195
SP - 9
EP - 18
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
ER -