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Evaluation of interfacial heat transfer coefficient based on the experiment and numerical simulation in the air-cooling process

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Abstract

Air-cooling process is a very complex heat transfer involving the heat transfer theory and the fluid dynamics. In the paper, the experiment and numerical simulation methods are used to study the interfacial heat transfer and gas flow in the process of air-cooling, and an axisymmetric model is established to simulate the air-cooling process based on the fluid-thermal-solid coupling method. In the experiment and numerical simulation, the high-speed compressed air is used to impinge and cool the hot metallic surface. The temperatures attained in the experiment and numerical simulation are used to calculate the interfacial heat transfer coefficient (IHTC) by a self-developed inverse heat transfer analysis software. Considering the influence of turbulence model on flow, it found that the SST \(k - \omega\) turbulence model is more appropriate for the air-cooling process. Based on the SST \(k - \omega\) model, the effect of sample diameter and jet distance (distance from jet to cooling surface) on the flow pattern and temperature fields is studied, the results show that the temperatures attained in the numerical simulation are in good agreement with those of experiment, and the smaller the jet distance is, the bigger the IHTC is. Finally, the IHTCs under the different jet distance and inlet flow velocity are calculated based on the temperature curves attained in the numerical simulation.

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Abbreviations

T :

Temperature (°C)

ρ :

Density (kg·m−3)

C p :

Specific heat (J·kg−1·°C−1)

λ :

Thermal conductivity (W·m−1·°C−1)

t :

Time (s)

Z :

Direction in cylindrical coordinate system (m)

r :

Direction in cylindrical coordinate system (m)

q :

Surface heat flux (W·m−2)

T f :

Temperature of compressed air (°C)

τ :

Total shear stress (Pa)

τ l :

Shear stress due to the laminar flow (Pa)

τ T :

Shear stress due to the wall turbulence (Pa)

u :

Flow velocity (m·s−1)

v :

Kinematic viscosity (m2·s−1)

ε m :

Turbulent momentum diffusivity (m2·s−1)

q T :

Heat flux in wall turbulence (W·m−2)

q r :

Heat flux contributed by wall turbulence (W·m−2)

α :

Laminar thermal diffusivity (m2·s−1)

ε T :

Turbulent thermal diffusivity (m2·s−1)

μ T :

Turbulent viscosity (m2·s−1)

u i :

Flow velocity (m·s−1)

μ :

Dynamic viscosity (m2·s−1)

k :

Turbulence Kinetic Energy (m3·s−2)

ω :

Turbulent Dissipation Rate (m2·s−3)

H :

Jet distance (m)

d :

Diameter of sample(m)

Nu :

Nusselt number

G k :

Generation of k

G ω :

Generation of ω

Γ k :

Effective diffusivity of k

Γ ω :

Effective diffusivity of ω

Y k :

Dissipation of k

Y ω :

Dissipation of ω

D ω :

Generation of ω

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Acknowledgements

This work was financially supported by the National Natural Science Foundation of China (51575324), Natural Science Foundation of Shandong Province (2019GGX104009), Shandong Province Key Laboratory of Mine Mechanical Engineering (2019KLMM104).

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Authors and Affiliations

  1. School of Materials Science and Engineering, Shandong University of Science and Technology, 579 Qianwangang Road, Qingdao, Shandong, 266510, PR China

    Liping Zou, Lidan Ning, Zhichao Li, Lianfang He & Huiping LI

  2. School of Materials Science and Engineering, Shandong University, 17923 Jingshi Road, Jinan, Shandong, 250061, PR China

    Xiaowei Wang

  3. Shandong Province Key Laboratory of Mine Mechanical Engineering, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhichao Li

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  1. Liping Zou
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Correspondence to Huiping LI.

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Zou, L., Ning, L., Wang, X. et al. Evaluation of interfacial heat transfer coefficient based on the experiment and numerical simulation in the air-cooling process. Heat Mass Transfer 58, 337–354 (2022). https://doi.org/10.1007/s00231-021-03113-x

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