The drainage of non-Newtonian fluids in the quasi-steady motion of a sphere towards a plane
Langue
en
Article de revue
Ce document a été publié dans
Microfluidics and Nanofluidics. 2012-01, vol. 12, n° 1-4, p. 639-648
Springer Verlag
Résumé en anglais
In the lubrication limit, the time needed for the drainage of the liquid film between two particles or between particles and walls is of industrial importance, because it controls the dynamics and aggregation of nondilute ...Lire la suite >
In the lubrication limit, the time needed for the drainage of the liquid film between two particles or between particles and walls is of industrial importance, because it controls the dynamics and aggregation of nondilute suspensions. This problem is also of fundamental interest in the application of the dynamic surface force apparatus to nanorheology. Even if this problem has an exact solution in Newtonian fluid when the sphere moves steadily and slowly towards or away from a plane wall, this problem remains, to our knowledge, without any exact analytical solution in non-Newtonian fluids with negligible viscoelastic components. But Rodin, using the method of asymptotic expansions, gives an asymptotic solution to this problem in the lateral unbounded power-law fluid. Therefore, in this study, we give a numerical result using the dynamic mesh technique and an asymptotic analytical formula valid in the lubrication regime, for a fluidity index 0.5< Réduire
Mots clés en anglais
Dynamic surface force apparatus
Non-Newtonian fluids
Power-law fluids
Sphere towards a plane
Hydrodynamic interactions
Origine
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