IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v172y1991i1p174-199.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437191903198
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/0378-4371(91)90319-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. A I Jarrah & J F Bard, 2011. "Pickup and delivery network segmentation using contiguous geographic clustering," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1827-1843, October.
    2. del Castillo, Jose M., 1998. "A heuristic for the traveling salesman problem based on a continuous approximation," Transportation Research Part B: Methodological, Elsevier, vol. 33(2), pages 123-152, April.
    3. Jabali, Ola & Gendreau, Michel & Laporte, Gilbert, 2012. "A continuous approximation model for the fleet composition problem," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1591-1606.
    4. Anna Franceschetti & Ola Jabali & Gilbert Laporte, 2017. "Continuous approximation models in freight distribution management," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 413-433, October.
    5. Lee, L.T. & Langevin, D. & Strey, R., 1990. "Relationship between microemulsion structure and surfactant layer bending elasticity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 210-219.
    6. Franceschetti, Anna & Honhon, Dorothée & Laporte, Gilbert & Woensel, Tom Van & Fransoo, Jan C., 2017. "Strategic fleet planning for city logistics," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 19-40.
    7. Novaes, Antonio G. N. & Graciolli, Odacir D., 1999. "Designing multi-vehicle delivery tours in a grid-cell format," European Journal of Operational Research, Elsevier, vol. 119(3), pages 613-634, December.
    8. Mehdi Nourinejad & Matthew J. Roorda, 2017. "A continuous approximation model for the fleet composition problem on the rectangular grid," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 373-401, March.
    9. O'Reilly, Oliver M. & Papadopoulos, Panayiotis & Lo, Gwo-Jeng & Varadi, Peter C., 1999. "Models of Vehicular Collision: Development and Simulation with Emphasis on Safety V: MEDUSA: Theory, Examples, User's Manual, Programmer's Guide and Code," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt48v7j4g8, Institute of Transportation Studies, UC Berkeley.
    10. Liu, Bingbing & Guo, Xiaolong & Yu, Yugang & Zhou, Qiang, 2019. "Minimizing the total completion time of an urban delivery problem with uncertain assembly time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 163-182.
    11. Bard, Jonathan F. & Jarrah, Ahmad I., 2013. "Integrating commercial and residential pickup and delivery networks: A case study," Omega, Elsevier, vol. 41(4), pages 706-720.
    12. Bedeaux, D. & Koper, G.J.M. & Smeets, J., 1993. "Clustering and relaxation in oil-continuous microemulsions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 105-113.
    13. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.
    14. Ilgenfritz, G. & Runge, F., 1992. "Electric field induced percolation in microemulsions: simulation of the electric conductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 69-88.
    15. Baller, Annelieke C. & Dabia, Said & Dullaert, Wout E.H. & Vigo, Daniele, 2019. "The Dynamic-Demand Joint Replenishment Problem with Approximated Transportation Costs," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1013-1033.
    16. Diana, Marco & Dessouky, Maged M. & Xia, Nan, 2006. "A model for the fleet sizing of demand responsive transportation services with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 651-666, September.
    17. Campbell, James F., 1995. "Using small trucks to circumvent large truck restrictions: Impacts on truck emissions and performance measures," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(6), pages 445-458, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:172:y:1991:i:1:p:174-199. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.