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Interfacial tensions in the three-phase region of nonionic surfactant + water + alkane systems: Critical point effects and aggregation behaviour

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  • Bonkhoff, K.
  • Hirtz, A.
  • Findenegg, G.H.

Abstract

We have studied the three-phase region associated with the phase inversion of three ternary systems of the type nonionic surfactant (alkylpolyglycoletherCnEm + water + alkane(B): C8E4 + water + heptane; C8E4 + water + decane; andC4E1 + water + octane. Properties of the coexisting phases (densities, refractive indices, viscosities) and the interfacial tensions were measured in the temperature range from somewhat below the lower critical end-point (T>l) to somewhat above the upper critical end-point (Tu found that the tensions between the two near-critical phases, σlm and σum, respectively, can be represented by the asymptotic critical-point scaling law over almost the entire temperature range of three-phase coexistence. However, whereas a mean-field theory for systems near a tricritical point predicts a symmetrical behaviour of σlm and σum in the three-phase region. experiment shows pronounced deviations from symmetry in the two systems with C8E4. The present results are compared with results from the literature on other surfactant systems and systems near a tricritical point. For most systems studied so far, the asymmetry ratio A = σ(Tu)/σ(Tl) has a value A = 1.3±0.15, regardless of the width of the three-phase region. For the present systems with C8E4, significantly greater asymmetries were found (A = 3.0 for B = heptane and A = 2.0 B = decane). This deviating behaviour is correlated with the asymmetry in the phase behaviour of these systems, viz. the appearance of a lamellar phase near Tl but not near Tu.

Suggested Citation

  • Bonkhoff, K. & Hirtz, A. & Findenegg, G.H., 1991. "Interfacial tensions in the three-phase region of nonionic surfactant + water + alkane systems: Critical point effects and aggregation behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 172(1), pages 174-199.
  • Handle: RePEc:eee:phsmap:v:172:y:1991:i:1:p:174-199
    DOI: 10.1016/0378-4371(91)90319-8
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    1. Langevin, André & Soumis, François, 1989. "Design of multiple-vehicle delivery tours satisfying time constraints," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 123-138, April.
    2. Köndgen Johannes & Busse Alexander, 1990. "Rechtsprechungsänderung zum Disagio: Zivil- und steuerrechtliche Fragen zur Entgeltgestaltung beim Darlehen: Besprechung der Entscheidung des BGH vom 29.5.1990 - XI ZR 231/89, ZBB 1990,211," Zeitschrift für Bankrecht und Bankwirtschaft (ZBB) / Journal of Banking Law and Banking (JBB), RWS Verlag, vol. 2(4), pages 214-221, December.
    3. O'Reilly, Oliver M. & Papadopoulos, Panayiotis & Lo, Gwo-jeng & Varadi, Peter C., 1998. "Models Of Vehicular Collision: Development And Simulation With Emphasis On Safety IV: An Improved Algorithm For Detecting Contact Between Vehicles," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3568z4g4, Institute of Transportation Studies, UC Berkeley.
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