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Heat transfer partitioning model of film boiling of particle cluster in a liquid pool: implementation in a CFD code

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Abstract

In the present work an effective heat transfer partitioning model of three phase (particles, liquid and vapour) flow and thermal interaction have been developed by a multi-fluid approach under film boiling condition. The in-house multiphase flow code is based on finite volume method of discretization and SIMPLE-based pressure correction algorithm. From consideration of mass, momentum and energy balance across the liquid–vapour interface, the vapour bubble generated from the vapour film have been modeled and incorporated in the code. Different interaction terms between each phase are incorporated depending upon the flow regime. The code is validated with in-house and available experimental results. Finally the effect of relevant parameters on void generation under film boiling condition of particles is estimated.

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Abbreviations

A :

Surface area of dispersed phase

c :

Specific heat

C D :

Drag coefficient

C L :

Lift coefficient

d :

Diameter of dispersed phase

\(\vec{F}_{D}\) :

Drag force

\(\vec{F}_{L}\) :

Lift force

\(\vec{F}_{a}\) :

Added mass

\(\vec{F}_{sp}\) :

Solid pressure

g :

Acceleration due to gravity

J :

Phase change rate

P :

Pressure

T :

Temperature

t :

Time

Re:

Reynolds number

Pr:

Prandtl number

Nu:

Nusselt number

\(\vec{v}\) :

Velocity

w :

Regime weighting parameter

α :

Void fraction = θ v /(θ v  + θ l )

θ :

Volume fraction

µ:

Viscosity

ρ:

Density

γ :

Surface tension

σ :

Boltzmann constant

drop :

Liquid drop

film :

Vapour film

vap :

Vapour

c :

Convection

ci :

Centre to interface

drop–vap :

Drop to vapour

film–vap :

Film to vapour

ic :

Interface to centre

il :

Interface to liquid

int :

Interface

liq–bub :

Liquid to bubble

l :

Liquid

p :

Particles

pi :

Particle to interface

pv :

Particle to vapour

v :

Vapour

r :

Radiation

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Acknowledgments

The financial support for this work from Bhabha Atomic Research Centre (BARC), India, and Council of Science and Industrial Research (CSIR), India is gratefully acknowledged. The first author acknowledges the help and support of Mr. Souvick Chatterjee and Mr. Mithun Das to carry out the experiments. The second author acknowledges also the help and support of Renaud Meignen, IRSN, France, particularly in understanding the film boiling. The authors also acknowledge the encouragement and suggestions of Deb Mukhopadhyay of BARC for carrying out the research.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Jadavpur University, Kolkata, India

    Pallab S. Mahapatra, Koushik Ghosh & Nirmal K. Manna

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  1. Pallab S. Mahapatra
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  2. Koushik Ghosh
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  3. Nirmal K. Manna
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Correspondence to Koushik Ghosh.

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Mahapatra, P.S., Ghosh, K. & Manna, N.K. Heat transfer partitioning model of film boiling of particle cluster in a liquid pool: implementation in a CFD code. Heat Mass Transfer 51, 1149–1166 (2015). https://doi.org/10.1007/s00231-014-1486-y

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