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Comparison of interfacial heat transfer correlations for high-pressure subcooled boiling flows via CFD two-fluid model

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Abstract

Heat transfer processes using two-phase boiling flows are often found in the industry, due to the high-efficiency heat removal, with a minimum difference of temperature between the heated surface and fluid. Moreover, the use of computational fluid dynamics to solve safety issues related to nuclear reactors has increased rapidly, but a complete validation is still being carried out. Therefore, this study aims the assessment of different sub-models of the interfacial heat transfer coefficient which is used as a closure relation in the two-fluid multiphase model. As a manner to validate the numerical results, the set of experimental conditions of Bartolomei and Chanturiya (Therm Eng 14:123–128, 1967) were applied to an upwards flow in a circular channel, under high water saturation pressures. The interfacial sub-models were implemented into an axisymmetric simulation domain, using the Eulerian two-fluid approach. Three different saturation pressures and two uniform heat fluxes were considered in the simulation runs. Fixed mass flux and subcooled degree of 900 kg/m2 and 60 K were applied, respectively. A satisfactory agreement was achieved for the estimation of the heated wall temperature, the liquid bulk temperature and the onset of saturated boiling. Different heat transfer closure relations promoted different vapor volume fraction along the channel, indicating the importance of an adequate interfacial heat transfer correlation to predict the flow boiling phenomena.

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Abbreviations

A :

Area (m2)

C :

Constant

\(c_{\text{p}}\) :

Specific heat (J kg−1 K−1)

\(D\) :

Diameter (m)

\(\vec{F}\) :

Momentum exchange per volume (N m−3)

\(f\) :

Friction factor

\(f_{\text{b}}\) :

Bubble departure frequency (Hz)

\(g\) :

Gravity (m s−2)

\(H\) :

Heat transfer coefficient (W m−2 K−1)

\(h\) :

Specific enthalpy (J kg−1)

\(Ja\) :

Jacob number

\(K\) :

Coefficient of exchange (kg m−3 s−1)

\(k\) :

Thermal conductivity (W m−1 K−1)

\(\dot{M}\) :

Mass transfer rate per volume (kg s−1 m−3)

\(N\) :

Nucleate site density (sites m−2)

\(n\) :

Exponential coefficient

\(\vec{n}\) :

Unitary vector

\(Nu\) :

Nusselt number

\(P\) :

Pressure (Pa)

\(Pr\) :

Prandtl number

\(q\) :

Heat transfer rate (W)

\(\dot{q}\) :

Heat flux (W m−2)

\(Re\) :

Reynolds number

\(T\) :

Temperature (K)

\(t\) :

Time (s)

\(\vec{u}\) :

Velocity (m s−1)

\(V\) :

Volume (m3)

\(x\) :

Thermodynamic quality

∆:

Difference

\(\pi\) :

Number pi

\(\beta\) :

Dimensionless bubble diameter

\(\alpha\) :

Volume fraction

\(\rho\) :

Density (kg m−3)

\(\varphi\) :

Area of influence

\(\tau\) :

Relaxation time of particulate (s)

\(\overline{\overline{\tau }}\) :

Stress tensor (N m−2)

b:

Bubble

con:

Convection

d:

Drag

eva:

Evaporation

ht:

Heat transfer

i:

Interfacial

l:

Liquid

li:

Lift

lv:

Liquid-vapor

p:

Phase p

pq:

Phase p to q

q:

Phase q

que:

Quenching

sat:

Saturation

sub:

Subcooled

sup:

Super-heating

t:

Turbulent

tot:

Total

v:

Vapor

w:

Wall

wa:

Waiting time

0:

Reference

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Acknowledgments

The authors would like to thank Roberto D. M. Garcia for his valuable suggestions and comments. The financial support from CNPq - National Council for Scientific and Technological Development (427209/2018-8) is also acknowledged.

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Authors and Affiliations

  1. Department of Aerospace Science and Technology, Institute for Advanced Studies, São José dos Campos, Brazil

    Francisco A. Braz Filho, Marco Aurélio Fortes & Guilherme B. Ribeiro

  2. Department of Aerospace Science and Technology, Aeronautics Institute of Technology, São José dos Campos, Brazil

    Guilherme B. Ribeiro

Authors
  1. Francisco A. Braz Filho
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  2. Marco Aurélio Fortes
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  3. Guilherme B. Ribeiro
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Correspondence to Guilherme B. Ribeiro.

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Technical Editor: Francis HR Franca, Ph.D.

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Braz Filho, F.A., Fortes, M.A. & Ribeiro, G.B. Comparison of interfacial heat transfer correlations for high-pressure subcooled boiling flows via CFD two-fluid model. J Braz. Soc. Mech. Sci. Eng. 41, 307 (2019). https://doi.org/10.1007/s40430-019-1818-4

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  • DOI: https://doi.org/10.1007/s40430-019-1818-4

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