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Numerical investigation of saturated upward flow boiling of water in a vertical tube using VOF model: effect of different boundary conditions

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Abstract

In this paper a numerical simulation of upward two-phase flow evaporation in a vertical tube has been studied by considering water as working fluid. To this end, the computational fluid dynamic simulations of this system are performed with heat and mass transfer mechanisms due to energy transfer during the phase change interaction near the heat transfer surface. The volume of fluid model in an available Eulerian-Eulerian approach based on finite volume method is utilized and the mass source term in conservation of mass equation is implemented using a user defined function. The characteristics of water flow boiling such as void fraction and heat transfer coefficient distribution are investigated. The main cause of fluctuations on heat transfer coefficient and volume fraction is velocity increment in the vapor phase rather than the liquid phase. The case study of this research including convective heat transfer coefficient and tube diameter are considered as a parametric study. The operating conditions are considered at high pressure in saturation temperature and the physical properties of water are determined by considering system’s inlet temperature and pressure in saturation conditions. Good agreement is achieved between the numerical and the experimental values of heat transfer coefficients.

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Abbreviations

cl, cg :

Empirical coefficients used in Eq. 12, 13 (1/s).

D:

Diameter (m).

E:

Enthalpy (J/kg).

\( {\overrightarrow{\mathrm{F}}}_{\upsigma} \) :

Volumetric surface tension force (N/m^3).

\( \overrightarrow{\mathrm{g}} \) :

Gravitational acceleration (m/s^2).

h:

Convective heat transfer coefficient (W/m^2-K).

hlg :

Latent heat (J/kg).

k:

Curvatures of phases.

ke :

Effective thermal conductivity (W/m-K).

L:

Length (m).

P:

Pressure (Pa).

\( \dot{\mathrm{Q}} \) :

Heat transfer rate source term (W/m^3).

S:

Mass source term (kg/m^3-s).

T:

Temperature (K).

t:

Time (s).

\( \overrightarrow{\mathrm{u}} \) :

Velocity field (m/s).

z:

Axial location (m)

σ:

Interfacial surface tension (N/m).

α:

Volume fraction.

ρ:

Density (kg/m^3).

μ:

Viscosity (kg/m-s)

l:

Related to the liquid phase.

g:

Related to the vapor phase.

sat:

Saturation.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Guilan, P. O. Box 3756, Rasht, Iran

    B. Hasanpour, M. S. Irandoost, M. Hassani & R. Kouhikamali

  2. School of Mechanical Engineering, University of Tehran, P. O. Box 11365-4563, Tehran, Iran

    M. S. Irandoost

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  1. B. Hasanpour
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  2. M. S. Irandoost
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  3. M. Hassani
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  4. R. Kouhikamali
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Correspondence to R. Kouhikamali.

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Hasanpour, B., Irandoost, M.S., Hassani, M. et al. Numerical investigation of saturated upward flow boiling of water in a vertical tube using VOF model: effect of different boundary conditions. Heat Mass Transfer 54, 1925–1936 (2018). https://doi.org/10.1007/s00231-018-2289-3

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  • DOI: https://doi.org/10.1007/s00231-018-2289-3

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