• Acta Physica Sinica
  • Vol. 68, Issue 12, 124702-1 (2019)
Ye Zhang, Ran Zhang*, Qing Chang, and Hua Li
DOI: 10.7498/aps.68.20190248 Cite this Article
Ye Zhang, Ran Zhang, Qing Chang, Hua Li. Surface effects on Couette gas flows in nanochannels[J]. Acta Physica Sinica, 2019, 68(12): 124702-1 Copy Citation Text show less
Schematic of the shear-driven gas flow in the nanochannel.纳米通道内气体剪切流动示意图
Fig. 1. Schematic of the shear-driven gas flow in the nanochannel.纳米通道内气体剪切流动示意图
Schematic diagram of the roughness geometry壁面纳米粗糙度构型
Fig. 2. Schematic diagram of the roughness geometry壁面纳米粗糙度构型
Schematics of the shear-driven gaseous flow in a rough channel.粗糙纳米通道中的气体剪切流动示意图
Fig. 3. Schematics of the shear-driven gaseous flow in a rough channel.粗糙纳米通道中的气体剪切流动示意图
Velocity profiles with different surface stiffness: (a) Normalized velocity profiles; (b) near-wall velocity profiles.不同壁面弹性系数条件下流场速度分布 (a)无量纲速度分布; (b)近壁面区域速度分布
Fig. 4. Velocity profiles with different surface stiffness: (a) Normalized velocity profiles; (b) near-wall velocity profiles.不同壁面弹性系数条件下流场速度分布 (a)无量纲速度分布; (b)近壁面区域速度分布
Density distribution with different surface stiffness.不同壁面弹性系数条件下纳米通道中的密度分布
Fig. 5. Density distribution with different surface stiffness.不同壁面弹性系数条件下纳米通道中的密度分布
Normal stress distribution with different surface stiffness.不同壁面弹性系数条件下纳米通道中的正应力分布
Fig. 6. Normal stress distribution with different surface stiffness.不同壁面弹性系数条件下纳米通道中的正应力分布
Shear stress distribution with different surface stiffness.不同壁面弹性系数条件下纳米通道中的剪切应力分布
Fig. 7. Shear stress distribution with different surface stiffness.不同壁面弹性系数条件下纳米通道中的剪切应力分布
Normalized velocity profiles with different surface roughness.不同壁面粗糙度下的流场无量纲速度分布
Fig. 8. Normalized velocity profiles with different surface roughness.不同壁面粗糙度下的流场无量纲速度分布
Near-wall normalized velocity profiles with different surface roughness.不同壁面粗糙度下近壁区域流场无量纲速度分布
Fig. 9. Near-wall normalized velocity profiles with different surface roughness.不同壁面粗糙度下近壁区域流场无量纲速度分布
Near-wall density distribution with different surface roughness.不同壁面粗糙度下近壁区域流场密度分布
Fig. 10. Near-wall density distribution with different surface roughness.不同壁面粗糙度下近壁区域流场密度分布
Near-wall normal stress distribution with different surface roughness.不同壁面粗糙度下近壁区域流场正应力分布
Fig. 11. Near-wall normal stress distribution with different surface roughness.不同壁面粗糙度下近壁区域流场正应力分布
Near-wall shear stress distribution with different surface roughness.不同壁面粗糙度下近壁区域流场剪切应力分布
Fig. 12. Near-wall shear stress distribution with different surface roughness.不同壁面粗糙度下近壁区域流场剪切应力分布
Normalized velocity profiles with different temperature conditions.不同温度条件下的流场无量纲速度分布
Fig. 13. Normalized velocity profiles with different temperature conditions.不同温度条件下的流场无量纲速度分布
Near-wall velocity profiles with different temperature conditions.不同温度条件下近壁区域流场速度分布
Fig. 14. Near-wall velocity profiles with different temperature conditions.不同温度条件下近壁区域流场速度分布
Near-wall density distribution with different temperature conditions.不同温度条件下近壁区域流场密度分布
Fig. 15. Near-wall density distribution with different temperature conditions.不同温度条件下近壁区域流场密度分布
Near-wall normal stress distribution with different temperature conditions.不同温度条件下近壁区域流场正应力分布
Fig. 16. Near-wall normal stress distribution with different temperature conditions.不同温度条件下近壁区域流场正应力分布
Near-wall normal stress distribution with different temperature conditions.不同温度条件下近壁区域流场剪切应力分布
Fig. 17. Near-wall normal stress distribution with different temperature conditions.不同温度条件下近壁区域流场剪切应力分布
TMAC values with different temperature conditions.TMAC随温度的变化
Fig. 18. TMAC values with different temperature conditions.TMAC随温度的变化
Effective viscosity values at different temperature.有效黏性系数随温度的变化
Fig. 19. Effective viscosity values at different temperature.有效黏性系数随温度的变化
研究目的$\rho /{\rm{kg}} \cdot {{\rm{m}}^{ - {\rm{3}}}}$$H/{\rm{nm}}$${L_X}/{\rm{nm}}$${L_Y}/{\rm{nm}}$参数设置
弹性系数影响1.8610.8965.3865.38$K/\varepsilon \cdot {\sigma ^{ - 2}}=300,\;500,\;800,\;1000,\;\infty $
粗糙度影响1.8610.8965.3865.38${H_{{\rm{roughness}}}}=0.27, 0.54, 0.81\;{\rm{nm}}$
温度影响1.8610.8965.3865.38$T=248, 273, 298, 323, 348, 373\;{\rm{K}}$
Table 1.

Parameters of the study on the influences of surface stiffness, roughness and temperature.

计算条件设置

$K/\varepsilon \cdot {\sigma ^{ - 2}}$${\rho _{{\rm{Bulk}}}}/{\rm{kg}} \cdot {{\rm{m}}^{ - 3}}$$\lambda /{\rm{nm}}$$H/{\rm{nm}}$$Kn$${\tau _{{\rm{Theo}},\sigma = 1.0}}/{\rm{kPa}}$${\tau _{{\rm{MD}}}}/{\rm{kPa}}$TMAC
3001.7665.0010.905.9619.8812.190.750
5001.7665.0010.905.9619.8612.070.746
8001.7664.9510.905.9619.8911.950.741
10001.7664.9810.905.9619.8811.960.741
$ \infty$1.7664.7210.905.9619.9511.750.736
Table 2.

Shear stress and TMAC values with different surface stiffness.

不同壁面弹性系数条件下纳米通道中的剪切应力及TMAC大小

T/K ${{\rho }_{\rm{Bulk}}}/\rm{kg}\cdot {{\rm{m}}^{-{\rm{3}}}}$${s_{xx}}/{\rm{kPa}}$${s_{yy}}/{\rm{kPa}}$${s_{zz}}/{\rm{kPa}}$${P_{{\rm{MD}}}}/{\rm{kPa}}$${P_{{\rm{Theo}}}}/{\rm{kPa}}$Error/%
2481.6987.9784.8887.1186.6587.000.40
2731.7398.9995.3897.8997.5698.260.71
2981.76109.54106.01108.97108.48109.410.85
3231.80120.26116.97119.68118.72120.931.83
3481.82130.32127.12129.69128.99131.792.13
3731.83140.44137.23140.28139.43142.432.11
Table 3.

Comparisons of normal stress with its theoretic values in bulk flow under different temperature conditions.

不同温度条件下主流区域正应力与理论值对比