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Numerical Simulation of Capillary Flow in Fan-Shaped Asymmetric Interior Corner Under Microgravity

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Abstract

Based on fluid mechanics theories, this research focuses on numerical simulation and analysis of capillary flow under microgravity in fan-shaped asymmetric interior corner. We analyze the effect the contact angle has on rising height in a fan-shaped asymmetric interior corner, and get the Concus-Finn condition the calculation of capillary flow needs to satisfy in fan-shaped asymmetric interior corner. Then we study the effect that different parameters of experimental medium and container configuration has on capillary flow in fan-shaped asymmetric interior corner when Concus-Finn condition is fulfilled. The conclusions of this paper has an important role in guiding the analytic solution of flow in a fan-shaped asymmetric interior corner under microgravity. We can also chose the appropriate experimental medium and design a container based on this paper.

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Abbreviations

ν :

velocity vector of the fluid

g :

acceleration vector of gravitation

H :

initial width of meniscus at initial location

L :

climbing height of liquid

σ :

surface tension

𝜃 1 :

contact angle of straight wall

𝜃 2 :

contact angle of rounded wall

v:

kinematic viscosity

f :

liquid-gas surface tension

p :

pressure

ρ :

density

μ :

dynamic viscosity

𝜃 :

contact angle

α :

half of central angle

h z :

initial liquid height

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Authors and Affiliations

  1. Institute of Applied Mechanics, College of Science, Northeastern University, Shenyang, 110819, China

    Li Yong-Qiang, Cao Wen-Hui & Liu Ling

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  1. Li Yong-Qiang
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  2. Cao Wen-Hui
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  3. Liu Ling
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Correspondence to Li Yong-Qiang.

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Yong-Qiang, L., Wen-Hui, C. & Ling, L. Numerical Simulation of Capillary Flow in Fan-Shaped Asymmetric Interior Corner Under Microgravity. Microgravity Sci. Technol. 29, 65–79 (2017). https://doi.org/10.1007/s12217-016-9526-5

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  • DOI: https://doi.org/10.1007/s12217-016-9526-5

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