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Interaction of two cavitation bubbles in a tube and its effects on heat transfer

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Abstract

When two cavitation bubbles exist in a confined space, the interaction between the bubbles significantly affects the characteristics of bubble dynamic behaviors. In this paper, a three-dimensional (3D) model is established to study the growth and collapse of two cavitation bubbles in a heated tube and its effects on heat transfer. The liquid and gas phases throughout the calculation domain are solved by a set of Navier-Stokes equations. It is assumed that the gas inside the bubble is compressible vapor, and the surrounding liquid is incompressible water. The mass transfer between two phases is ignored. The calculated bubble profiles were compared to the available experimental data, and a good agreement has been achieved. Then, the relationship among the bubble motion, flow field and pressure distributions was analyzed. On this basis, the effects of bubble interaction on the heat transfer between the wall surface and sounding liquid were discussed. It is found that heat transfer in the centre wall region is enhanced owing to the vortex flow and micro-jet induced by the bubble contraction and collapse. In contrast, the highest surface temperature appears in the surrounding region, which is mainly attributed to the thermal resistance induced by the bubble. The present study is helpful to understand the heat transfer phenomenon with cavitation in the liquid.

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Abbreviations

E :

total energy (J)

F :

force (N)

h :

heat transfer coefficient (W/m2·K)

H :

distance from the centre point to the bubble

k :

effective conductivity (W/m·K)

L :

length of the tube (mm)

M :

molecular weight (kg/mol)

p :

static pressure (Pa)

q :

heat flux (W/cm2)

R :

bubble radius (mm)

R g :

gas constant (J/K·mol)

t :

time (s)

T :

temperature (K)

v :

velocity (m/s)

x :

x coordinate (m)

y :

y coordinate (m)

z :

z coordinate (m)

ρ :

Density (kg/m3)

β :

volume fraction (-)

µ :

viscosity (kg/m·s)

k :

curvature of the interface (1/m)

s :

surface tension (N/m)

f:

fluid

g:

gas phase

l:

liquid phase

w:

wall surface

max:

maximum value

t:

total

0:

initial

∞:

far field

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Acknowledgments

This work is financially supported by the National Natural Science Foundation of China (Grant No. 51606190, Grant No. 51376181).

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Authors and Affiliations

  1. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, 100190, China

    Bin Liu, Jun Cai, Yuequn Tao & Xiulan Huai

  2. University of the Chinese Academy of Sciences, Beijing, 100080, China

    Jun Cai & Yuequn Tao

Authors
  1. Bin Liu
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  2. Jun Cai
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  3. Yuequn Tao
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  4. Xiulan Huai
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Additional information

This work is financially supported by the National Natural Science Foundation of China (Grant No. 51606190, Grant No. 51376181)

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Liu, B., Cai, J., Tao, Y. et al. Interaction of two cavitation bubbles in a tube and its effects on heat transfer. J. Therm. Sci. 26, 66–72 (2017). https://doi.org/10.1007/s11630-017-0911-1

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  • DOI: https://doi.org/10.1007/s11630-017-0911-1

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