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Effect of heated surface inclination on the growth dynamics and detachment of a vapor bubble, a numerical study

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Abstract

Nucleate boiling is an important part of the pool boiling phenomenon which occurs in various processes involving heat transfer, such as, steam production, chemical processes, etc. The inclination of the heated surface, where bubbles nucleates, significantly affects the bubble growth dynamics as well as the heat transfer rate from the microlayer underneath the bubble during the nucleate boiling. In this study, the effect of the surface inclination on the bubble growth and detachment during the nucleate boiling is investigated numerically. For this purpose, the proposed model of Lay and Dhir for the microlayer is modified to include the effect of the inclination of the heated surface. The resulting equations are solved numerically, and the effect of varying the inclination of the heated surface on the bubble growth and heat transfer is investigated. The results show that the largest bubble size and the highest heat transfer from the heated surface occur when the inclination of the heated surface is 30°; while, the smallest bubble size and the lowest heat transfer from the heated surface are observed for the horizontal surface. Furthermore, the total heat transfer from the inclined surface during the bubble growth increases up to 32% compared to that for the horizontal surface.

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Abbreviations

A :

Hamaker constant J.

а 1 :

Evaporation coefficient -.

g :

Acceleration of gravity m/s2.

h :

Latent heat kJ/ kg.

K :

Interface curvature 1/m.

k :

Thermal conductivity W/m.K.

M :

Molecular weight g/mol.

\( \dot{m} \) :

Liquid mass flow rate kg/s.

P :

Microlayer pressure Pa.

q :

Microlayer conduction heat flux W/m2.

\( \dot{Q} \) :

Microlayer heat transfer rate W.

R :

Microlayer length mm.

r :

Distance from bubble base center mm.

\( \tilde{R} \) :

Universal gas constant J/mol. K.

T :

Temperature K.

u :

Liquid velocity m/s.

α :

Surface inclination -.

β :

Contact angle -.

δ :

Microlayer thickness mm.

θ :

Tangential direction -.

μ :

Viscosity kg /(m·s).

ρ :

Density kg/m3.

σ :

Surface tension N/m.

c :

Capillary.

con :

Conduction.

d :

Disjoining.

g :

Gravity.

i :

Inner.

int :

Liquid-vapor interface.

l :

Liquid.

o :

Outer.

0 :

horizontal surface

r :

Radial direction.

sat :

Saturation.

sub :

Subcooled.

sup :

Superheat.

v :

Vapor.

w :

Wall.

z :

Axial direction.

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Authors and Affiliations

  1. Thermal Power Plant Holding Co., Tehran, Iran

    Ali Asghar Abdoli Tondro

  2. Faculty of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

    Reza Maddahian

  3. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

    Ali Arefmanesh

Authors
  1. Ali Asghar Abdoli Tondro
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  2. Reza Maddahian
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  3. Ali Arefmanesh
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Correspondence to Ali Arefmanesh.

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Tondro, A.A.A., Maddahian, R. & Arefmanesh, A. Effect of heated surface inclination on the growth dynamics and detachment of a vapor bubble, a numerical study. Heat Mass Transfer 57, 205–222 (2021). https://doi.org/10.1007/s00231-020-02937-3

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