Acta Physica Sinica, Volume. 69, Issue 6, 064702-1(2020)
Figures & Tables(15)
![Comparisons between simulation results in this work and phase-field simulation results[33].](/Images/icon/loading.gif){kind=icon}
Fig. 3. Comparisons between simulation results in this work and phase-field simulation results[33].
Fig. 4. Comparisons between numerical simulation in this work and experiment results[11], the left half of each image is obtained from the experiment, while the right half is the snapshots from our simulation.
Fig. 5. Mesh convergence study of droplet impact on solid surfaces
Fig. 6. Variation of shear viscosity with shear rate at different power-law index.
Fig. 7. Dimensionless diameter of droplet spread varying with dimensionless time at different power-law index (
Fig. 8. Dimensionless height of droplet spread varying with dimensionless time at different power-law index (
Fig. 9. Process of droplet impact on surface at different power-law index: (a)
Fig. 10. Dimensionless diameter of droplet spread varying with dimensionless time at different power-law index (
Fig. 11. Dimensionless height of droplet spread varying with dimensionless time at different power-law index (
Fig. 12. Process of droplet impact on surface at different power-law index: (a)
Fig. 13. Comparison of
between model prediction values and simulation data.
Table 1.
Symbols and constants in numerical simulation
数值模拟参数设置
View tableView in ArticleTable 1.
Symbols and constants in numerical simulation
数值模拟参数设置
参数 符号/单位 数值 重新初始化参数 $\gamma /{\rm{m}} \cdot {{\rm{s}}^{ - 1}}$ 1 界面厚度 $\varepsilon /\text{μm}$ $5 \times {10^{ - 2}}$ 气体密度 ${\rho _1}/{\rm{kg}} \cdot {{\rm{m}}^{ - {\rm{3}}}}$ 1.2 气体黏度 ${\eta _1}{\rm{/Pa}} \cdot {\rm{s}}$ $2 \times {10^{ - 5}}$ 液体密度 ${\rho _2}/{\rm{kg}} \cdot {{\rm{m}}^{ - {\rm{3}}}}$ 1000 液体黏度 ${\eta _2}{\rm{/Pa}} \cdot {\rm{s}}$ $8.9 \times {10^{ - 4}}$ 温度 T/℃ 25 液滴初始直径 ${D_0}/{\text{μ} m }$ 55 液滴撞击速度 uz $/{\rm{m}} \cdot {{\rm{s}}^{ - 1}}$ 2.45 接触角 $\theta /{(^ \circ })$ 55 气液界面张力 $\sigma /{\rm{mN}} \cdot {{\rm{m}}^{ - 1}}$ 72.8
Table 2.
Prediction models of maximum dimensionless factor.
最大无量纲直径预测模型
View tableView in ArticleTable 2.
Prediction models of maximum dimensionless factor.
最大无量纲直径预测模型
模型出处 方程 均方根误差 Jones[ 37 ]$D_{\max }^* = {({\rm{4/3} }Re_{\rm{n} } ^{1/4})^{1/2} }$ 0.20 Madejski[ 38 ]$D_{\max }^* = Re_{\rm{n} } ^{1/5}$ 0.31 Pasandideh-Fard等[ 39 ]$D_{\max }^* = 0.5 Re_{\rm{n} } ^{1/4}$ 0.64 Scheller和Bousfield[ 40 ]$D_{\max }^* = 0.61{(R{e_{\rm{n}}}W{e^{1{\rm{/}}2}}{\rm{)}}^{0.166}}$ 0.65 Roisman[ 41 ]$D_{\max }^* = 0.87 Re_{\rm{n} } ^{1/5} - {\rm{0} }{\rm{.40} }Re_{\rm{n} }^{2/5}W{e^{ - 1/2} }$ 0.97 Luu和Forterre[ 8 ]$D_{\max }^* = Re_{\rm{n} } ^{1/(2 m + 3)}$ 0.44 Andrade等[ 14 ]$D_{\max }^* = 1.28 + 0.071 W{e^{1/4} }Re_{\rm{n} } ^{1/4}$ 0.43 本文预测模型 $D_{\max }^* = Re_{\rm{n} } ^{0.17} = {\left[ {\rho D_0^mV_0^{2 - m}/k} \right]^{0.17} }$ 0.06
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Xue-Feng Shen, Yu Cao, Jun-Feng Wang, Hai-Long Liu.
Paper Information
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Received: Nov. 2, 2019
Accepted: --
Published Online: Nov. 19, 2020
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