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Numerical simulation of meniscus evaporation in microchannel based on diffuse interface method

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Abstract

It is necessary to study the phase transition in capillary cores to achieve more efficient heat transfer. Here, we propose a model to simulate the evaporation of meniscus in microchannel. It is based on the phase field method and kinetic theory for evaporation. The model takes into account the Marangoni effect, the evaporative phase transition process and the change of contact angle. Then the simulation results are compared with the experiments to verify the accuracy of the model. It shows that there is a strong heat flux region near the contact line, which produces the tension gradient along the interface and leads to the Marangoni flow near the meniscus. In addition, results also show that the tube diameter, contact angle and superheat have significant influence on the evaporation rate.

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Abbreviations

U :

Velocity vector

P:

Pressure

F g :

Gravity

T:

Temperature

M:

Molar mass

H:

The latent heat of vaporization

k:

The heat transfer coefficient

r:

The distance from the interface to the symmetry axis

G:

Chemical potential

n :

Unit vector

\({\mathbf{F}}_{{\varvec{s}}{\varvec{t}}}\) :

Volume force

t:

Time

m:

Mass

C:

Specific heat capacity

R:

Surface energy

Φ:

Phase function

λ :

Mixing energy density

θ :

Contact angle

χ :

Transfer adjustment parameter

εpf :

Capillary width that scales with the thickness of the diffuse interface

γ :

Mobility

σ :

Interfacial tension

μ :

Viscosity coefficient

ρ :

Density

l :

Liquid

int :

Interface

v :

Vapor

f :

Phase field

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Funding

This work is supported by the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2020A1515010373, 2021A1515010340).

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Authors and Affiliations

  1. School of Electric Power, South China University of Technology, Guangzhou, 510640, China

    Jian Chang, Jie** Cai & Bing Tan

  2. School of Ordnance Engineering, Naval University of Engineering, Wuhan, 430033, China

    Jian Chang

Authors
  1. Jian Chang
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  2. Jie** Cai
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  3. Bing Tan
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Correspondence to Jie** Cai.

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Chang, J., Cai, J. & Tan, B. Numerical simulation of meniscus evaporation in microchannel based on diffuse interface method. Heat Mass Transfer 58, 1949–1962 (2022). https://doi.org/10.1007/s00231-022-03223-0

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