Abstract
The adsorption of surface-active agents (surfactants) on channels changes the effective viscosity of an emulsion and gives it non-Newtonian properties.
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Abbreviations
- a :
-
drop radius
- C and C°:
-
concentration of surfactant near a drop and averaged over the medium
- D:
-
diffusion coefficient of the surfactant
- I :
-
second-rank unit tensor
- ni :
-
components of the unit normal vector to the drop surface
- r :
-
radius vector directed from the center of the drop
- s:
-
surface area of the drop occupied by one molecule of surfactant
- tj and T′:
-
characteristic times
- α and β:
-
sorption and desorption constants
- gG and Γ°:
-
true and equilibrium surface concentrations of surfactant
- η, η, and gh1 :
-
effective viscosity and the viscosities of the disperse phase and dispersion medium
- ρ:
-
volume concentration of the disperse phase
- τ:
-
surface tension of the drop
- Tj, and τ′:
-
characteristic times
- + and *:
-
quantities near and inside the drop
- t:
-
tangential components of vectors and tensors. The operators divs and grads have the same meaning as the ordinary divergence and gradient operators, but with fixed values of the radius vector r≡a
Literature cited
A. Yu. Zubarev and Yu. V. Shilko, Inzh.-Fiz. Zh.,54, No. 5, 752–759 (1988).
J. Batchelor, Hydrodynamic Interaction of Particles in Suspensions [Russian translation], Moscow (1980), pp. 46–93.
V. G. Levich, Physicochemical Hydrodynamics, Moscow (1959).
L. D. Landau and E. M. Lifschetz, Statistical Physics, [in Russian], Moscow (1964).
A. Adamson, Physical Chemistry of Surfaces [in Russian], Moscow (1979).
G. Korn and T. Korn, Manual of Mathematics, McGraw-Hill (1976).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 56, No. 5, pp. 787–793, May, 1989.
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Zubarev, A.Y. Non-Newtonian properties of emulsions in solutions of surface-active agents. Journal of Engineering Physics 56, 558–563 (1989). https://doi.org/10.1007/BF01297606
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DOI: https://doi.org/10.1007/BF01297606