Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
14 (2002), S. 1557-1571
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
A linear stability analysis of the viscous fingering of miscible non-Newtonian flow displacements in a rectilinear Hele-Shaw cell is presented. The shear-thinning character of the non-Newtonian fluid is described using the Carreau model which involves two rheological parameters De and n. Flows where either the displacing or displaced phase has a shear-thinning behavior are examined and compared with those of Newtonian flows. It is found that the shear-thinning character of the non-Newtonian fluid has an important effect on the flow instability. In particular, a flow where the driving fluid is shear-thinning is always more unstable than its Newtonian counterpart. For this flow, the maximum growth rate and the spectrum of unstable wave numbers are larger than in the Newtonian case which suggests that more ramified structures will develop as the finger instability grows. On the other hand, when the displaced fluid is non-Newtonian, a stronger shear-thinning rheological behavior leads in general to a less unstable flow. The mechanisms responsible for the changes in the flow instability are explained in terms of the different sources contributing to the generation of the vorticity disturbance. © 2002 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.1462030
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