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  • Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design
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Numerical study on a sliding bubble during nucleate boiling

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Abstract

A numerical method for simulating bubble motion during nucleate boiling is presented. The vapor-liquid interface is captured by a level set method which can easily handle breaking and merging of the interface and can calculate an interfacial curvature more accurately than the VOF method using a step function. The level set method is modified to include the effects of phase change at the interface and contact angle at the wall as well to achieve mass conservation during the whole calculation procedure. Also, a simplified model to predict the heat flux in a thin liquid microlayer is developed. The method is applied for simulation of a sliding bubble on a vertical surface to further understand the physics of partial nucleate boiling. Based on the computed results, the effects of contact angle, wall superheat and phase caange on a sliding bubble are quantified.

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Abbreviations

C P :

Specific heat at constant pressure

g :

Gravity

H :

Step function

h :

Grid spacing

h ev :

Evaporative heat transfer coefficient

h fg :

Latent heat of evaporation

k :

Thermal conductivity

L :

Length scale,

N U :

Nusselt number

\(\vec n\) :

Normal unit vector

D :

Pressure

q :

Heat flux

R :

Effective radius of a bubble

R gas :

Gas constant

R min :

Minimum bubble radius for sliding

T :

Temperature

ΔT :

T w -T sat

U :

Bubble slide velocity

u, v :

x, y-directional velocities

\(\vec u\) :

Velocity vector, (u, v)

\(\dot V_{micro} \) :

Rate of vapor volume production from the microlayer

ΔV micro :

Control volume surrounding the liquid microlayer

x, y :

Horizontal and vertical coordinates

δ:

Liquid film thickness

κ:

Interfacial curvature

μ:

Dynamic viscosity

ρ:

Density

σ:

Surface tension

π:

Artificial time

ε:

Level set function

π:

Contact angle

1, 2:

Points 1 and 2

A, R:

Advancing, receding

int:

Interface

l, v:

Liquid, vapor

sat, w:

Saturation, wall

References

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  7. Son, G., Dhir, V. K., and Ramanujapu, N., 1999, “Dynamics and Heat Transfer Associated with a Single Bubble During Nucleate Boiling on a Horizontal Surface,”J. Heat Transfer, Vol. 121, pp. 623–631.

  8. Son, G. and Lee, S. R., 1999, “Numerical Simulation on Rising Bubble Behaviors in Water,” Trans.KSME, Vol. 23, No. 12, pp. 1606–1613. (in Korean)

  9. Sussman, M., Smereka, P., and Osher, S., 1994, “A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow,”J. Comput. Phys., Vol. 114, pp. 146–159.

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  11. Thorncroft, G. E., Klausner, J. F., and Mei, R., 1998, “An Experimental Investigation of Bubble Growth and Detachment in Vertical Upflow and Downflow Boiling,”Int. J. Heat Mass Transfer, Vol. 114, pp. 146–159.

  12. Van Helden, W. G. J., Vander Geld, C. W. M., and Boot, P. G. M., 1995, “Forces on Bubbles Growing and Detaching in Flow Along a Vertical Wall,”Int. J. Heat Mass Transfer, Vol. 38, pp. 2075–2088.

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Author information

Correspondence to Gihun Son.

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Son, G. Numerical study on a sliding bubble during nucleate boiling. KSME International Journal 15, 931–940 (2001). https://doi.org/10.1007/BF03185271

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Key Words

  • Level Set Method
  • Sliding Bubble
  • Nucleate Boiling
  • Contact Angle