High Temperature

, Volume 56, Issue 2, pp 234–238 | Cite as

Microwave Heating of an Emulsion Drop

  • L. A. Kovaleva
  • A. A. Musin
  • Yu. I. Fatkhullina
Heat and Mass Transfer and Physical Gasdynamics


The results of numerical modeling of the microwave heating of a water-in-oil emulsion drop in a gravity field with consideration of the empirical temperature dependence of the viscosity of the liquid surrounding the drop are presented. The system of thermal convection equations is considered in the Boussinesq approximation. The solution is obtained by the control volume method with the SIMPLE algorithm and by the VOF method. It is established that the emerging convective structures result in nonuniform heating of the drop predominantly near the surface, which can lead to a local rupture of the armor envelope and the formation of fine-dispersed phase. It is shown that there is an optimal range of power of microwave field in which an intensive deposition of water drops occurs, which leads to water-oil emulsion breakdown.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Kovaleva, L.A., Zinnatullin, R.R., Mullayanov, A.I., and Shrubkovskii, I.I., High Temp. 2016, vol. 54, no. 4, p. 612.CrossRefGoogle Scholar
  2. 2.
    Kovaleva, L.A., Zinnatullin, R.R., Mullayanov, A.I., and Amekachev, R.M., High Temp. 2015, vol. 53, no. 4, p. 592.CrossRefGoogle Scholar
  3. 3.
    Kovaleva, L.A., Minnigalimov, R.Z., and Zinnatullin, R.R., Energy Fuels 2011, vol. 25, no. 8, p. 3731.CrossRefGoogle Scholar
  4. 4.
    Kovaleva, L.A., Minnigalimov, R.Z., and Zinnatullin, R.R., High Temp. 2008, vol. 46, no. 5, p. 728.CrossRefGoogle Scholar
  5. 5.
    Fang, C.S. and Lai, M.C., in Proc. 14th National Industrial Energy Technology Conf., Houston, TX 1992, p. 125.Google Scholar
  6. 6.
    Abdurahman, H.N., Rosli, M.Y., and Azhary, H.N., World Acad. Sci., Eng. Technol. 2010, vol. 62, p. 188.Google Scholar
  7. 7.
    Kovaleva, L.A., Zinnatullin, R.R., Mullayanov, A.I., Mavletov, M.V., and Blagochinnov, V.N., High Temp. 2013, vol. 51, no. 6, p. 870.CrossRefGoogle Scholar
  8. 8.
    Kovaleva, L.A., Zinnatullin, R.R., Minnigalimov, R.Z., Blagochinnov, V.N., and Mullayanov, A.I., Neftepromyslovoe Delo 2013, no. 6, p. 45.Google Scholar
  9. 9.
    Anfinogentov, V.I., Doctoral (Eng.) Dissertation, Kazan: Kazan State Tech. Univ., 2006.Google Scholar
  10. 10.
    Malai, N.V., Shchukin, E.R., Stukalov, A.A., and Ryazanov, K.S., J. Appl. Mech. Tech. Phys., 2008, vol. 49, no. 1, p. 58.ADSCrossRefGoogle Scholar
  11. 11.
    Malai, N.V., Tech. Phys. 2002, vol. 47, no. 3, p. 286.CrossRefGoogle Scholar
  12. 12.
    Krivlev, M. and Fransaer, Ya., Vestn. Udmurt. Univ., Fiz. Khim. 2009, no. 1, p. 43.Google Scholar
  13. 13.
    Gershuni, G.Z. and Zhukhovitskii, E.M., Konvektivnaya ustoichivost’ neszhimaemoi zhidkosti (Convective Stability of Incompressible Fluid), Moscow: Nauka, 1972.Google Scholar
  14. 14.
    Brackbill, J.U., Kothe, D.B., and Zemach, C., J. Comput. Phys., 1992, vol. 100, p. 335.ADSMathSciNetCrossRefGoogle Scholar
  15. 15.
    Landau, L.D. and Lifshits, E.M., Teoreticheskaya fizika (Theoretical Physics), vol. 8: Elektrodinamika sploshnykh sred (Electrodynamics of Continuous Media), Moscow: Fizmatlit 2001.zbMATHGoogle Scholar
  16. 16.
    Conte, S.D., Elementary Numerical Analysis: An Algorithmic Approach, New York: McGraw-Hill, 1972.zbMATHGoogle Scholar
  17. 17.
    Gueyffier, D., Li, J., Nadim, A., Scardovelli, R., and Zaleski, St., J. Comput. Phys., 1999, vol. 152, p. 423.ADSCrossRefGoogle Scholar
  18. 18.
    Hirt, C.W. and Nichols, B.D., J. Comput. Phys., 1981, vol. 39, p. 201.ADSCrossRefGoogle Scholar
  19. 19.
    Martinez, J.-M., Chesneau, X., and Zeghmati, B., Comput. Mech. 2006, vol. 37, p. 182.CrossRefGoogle Scholar
  20. 20.
    Harlow, F.H., Phys. Fluids 1965, vol. 8, p. 2182.ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    Patankar, S., Numerical Heat Transfer and Fluid Flow, New York: McGraw Hill, 1980.zbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • L. A. Kovaleva
    • 1
  • A. A. Musin
    • 1
  • Yu. I. Fatkhullina
    • 1
  1. 1.Bashkir State UniversityUfa, BashkortostanRussia

Personalised recommendations