Heat and Mass Transfer

, Volume 42, Issue 5, pp 364–369 | Cite as

The derivation of thermal relaxation time between two-phase bubbly flow

  • S. A. Mohammadein


Thermal relaxation time constant is derived analytically for the relaxed model with unequal phase-temperatures of a vapour bubble at saturation temperature and a non-steady temperature field around the growing vapour bubble. The energy and state equation are solved between two finite boundary conditions. Thermal relaxation time perform a good agreement with Mohammadein (in Doctoral thesis, PAN, Gdansk, 1994) and Moby Dick experiment in terms of non-equilibrium homogeneous model (Bilicki et al. in Proc R Soc Lond A428:379–397, 1990) for lower values of initial void fraction. Thermal relaxation is affected by Jacob number, superheating, initial bubble radius and thermal diffusivity.


Average temperature of the superheated liquid Extended Scriven theory Thermal relaxation time Moby Dick experiment 



The author is grateful to the reviewers for their useful comments


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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • S. A. Mohammadein
    • 1
  1. 1.Mathematics Department, Faculty of ScienceTanta UniversityTantaEgypt

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