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A modified heat transfer correlation for two-phase flow

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Abstract

Experimental investigations for two-phase flow under constant heat flux condition are carried out by varying the mass flow rate of gas and liquid phases. A modified correlation for Nusselt number is developed based on the experimental measurements involving superficial gas and liquid Reynolds number, fluid properties and Lockhart-Martinelli parameter. The accuracy of this correlation for all two-phase flow regimes is validated with the recent correlation proposed by Kim and Ghajar.

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Abbreviations

A:

Cross-sectional area, m2

c :

Specific heat at constant pressure, KJ/kg K

C :

Constant

dz :

Distance between two RTD stations, m

D :

Diameter, m

F p :

Flow pattern factor

F s :

Shape factor

g :

Gravitational acceleration, m/s2

G t :

Mass velocity of total flow, kg/m2s

h :

Convective heat transfer coefficient, W/m2 K

I :

Inclination factor

k :

Thermal conductivity, W/m K

L :

Length of test section, m

m, n, p, q, r :

Exponents

\( \dot{m} \) :

Mass flow rate, kg/s

p :

Pressure, Pa

∆P/∆L :

Total pressure drop per unit length, Pa/m

\( \dot{q}^{\prime \prime } \) :

Heat supplied per unit area, W/m2

Q :

Volumetric flow rate, m3/s

ΔT :

Temperature difference, °C

R L :

Liquid volume fraction, (1-α)

V :

Velocity, m/s

x :

Mass fraction

X :

Lockhart-Martinelli parameter

α :

Volume fraction

θ :

Inclination angle

μ :

Absolute viscosity, kg/m s

ρ :

Density, kg/m3

σ :

Surface tension, N/s

1, 2, 3, 4 :

Station number

avg :

Average

b :

Bulk

bi, bo :

Bulk in, bulk out

exp:

Experiment

g, l :

Gas, liquid

SG, SL:

Superficial gas, superficial liquid

t :

Total

TP:

Two-phase

w :

Wall

z :

RTD station

A:

Annular flow

B:

Bubbly flow

Eo:

Eotvos number

F:

Froth flow

M:

Mist flow

Nu:

Nusselt number

P:

Plug flow

Pr:

Prandtl number

Re:

Reynolds number

RTD:

Resistance temperature detector

S:

Slug flow

St:

Stratified flow

SW:

Slug/wavy flow

SBA:

Slug/bubbly/annular flow

W:

Wavy flow

WA:

Wavy/annular flow

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Authors and Affiliations

  1. Mechanical Engineering Department, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, 395007, India

    Mahesh J. Vaze & Jyotirmay Banerjee

Authors
  1. Mahesh J. Vaze
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  2. Jyotirmay Banerjee
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Correspondence to Jyotirmay Banerjee.

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Vaze, M.J., Banerjee, J. A modified heat transfer correlation for two-phase flow. Heat Mass Transfer 47, 1159–1170 (2011). https://doi.org/10.1007/s00231-011-0784-x

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