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Non-Newtonian properties of emulsions in solutions of surface-active agents

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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

  1. A. Yu. Zubarev and Yu. V. Shilko, Inzh.-Fiz. Zh.,54, No. 5, 752–759 (1988).

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  2. J. Batchelor, Hydrodynamic Interaction of Particles in Suspensions [Russian translation], Moscow (1980), pp. 46–93.

  3. V. G. Levich, Physicochemical Hydrodynamics, Moscow (1959).

  4. L. D. Landau and E. M. Lifschetz, Statistical Physics, [in Russian], Moscow (1964).

  5. A. Adamson, Physical Chemistry of Surfaces [in Russian], Moscow (1979).

  6. G. Korn and T. Korn, Manual of Mathematics, McGraw-Hill (1976).

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Additional information

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

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