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In the application of atmospheric pressure plasma jet, the influence of ambient gas cannot be ignored, especially in some specific scenarios which are highly sensitive to ambient particles. Coaxial double-tube plasma jet device is a promising method of controlling the chemical properties of jet effluent by restraining the mutual diffusion between jet effluent and ambient gas. In this work, the discharge characteristics and chemical properties of coaxial double-tube helium atmospheric pressure plasma jet at different flow rates of shielding gas are studied numerically, and the model is validated by experimental optical images. The results illustrate the enhanced discharge at the high flow rate, the weaker discharge at the low flow rate, and discharge behaviors without shielding gas as well. With the increase of shielded gas flow rate, the particle density increases in the discharge space, which can be attributed to the wider main discharge channel caused by the increase of shielding gas flow rate. In addition, the analysis shows the great difference in ion fluxes affected by the flow rate of the SG between the contour lines of different helium mole fractions. This study further reveals that different discharge positions have a great influence on the generation of nitrogen and oxygen particles, thus deepening the understanding of influence of shielding gas flow rate on discharge behavior, and may open up new opportunities for the further application of plasma jet.
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Keywords:
- atmospheric pressure plasma jet /
- coaxial double-tube device /
- shielding gas /
- distribution of species
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图 1 实验装置示意图
Figure 1. Schematic diagram of experimental setup.
图 2 仿真模型的几何结构
Figure 2. The geometry of the simulation model.
图 3 不同SG流速下的放电光学图像 (a), (c) 0 slm; (b) 1 slm; (d) 3 slm. 红色曲线表示放电时最明亮的区域
Figure 3. The discharge optical images for the different SG flow rates: (a), (c) 0 slm; (b) 1 slm; (d) 3 slm. The red curve shows the brightest region of the discharge.
图 4 (a), (c) 不同SG流速下98%氦气摩尔分数的轮廓线; (b) 氦气摩尔分数(cHe)在轴向位置z = 2.5 mm处的径向分布
Figure 4. (a), (c) The contour line of the 98% helium mole fraction at different flow rates of SG; (b) the distribution of the helium mole fraction(cHe) at axial position of z = 2.5 mm.
图 5 当SG流速处于(a) 0, (b) 1, (c) 2和(d) 3 slm情况下, 电子密度ne(单位: m–3, 以对数形式表示)的时空分布. 洋红色线分别表示不同氦气摩尔分数的等值轮廓线
Figure 5. Spatial and temporal profiles of the electron density ne (unit: m–3, in 10 logarithmic scale) for SG flow rates of (a) 0, (b) 1, (c) 2 and (d) 3 slm. The magenta lines are the contour lines of different helium mole fractions.
图 6 SG流速为(a) 0 和(b) 3 slm情况下放电空间中电离率(单位: mol·m–3·s–1, 以对数形式表示)的时空演化情况. 洋红色线分别表示不同氦气摩尔分数的等值轮廓线
Figure 6. Development of the ionization rate (unit: mol·m–3·s–1, in 10 logarithmic scale) in the discharge region for SG flow rate of (a) 0 and (b) 3 slm. The magenta lines are the contour lines of different helium mole fractions.
图 7 放电空间中(a)粒子平均数密度及(b)各粒子时间空间平均生成速率
Figure 7. (a) The average species density and (b) the average spatiotemporal production rate of the species in discharge region.
图 8 轴向位置z = 2.5 mm, He*粒子的生成速率沿径向分布
Figure 8. Radial distribution of the production rate of He* at axial position z = 2.5 mm.
图 9 不同氦气浓度轮廓线表面的离子径向通量
Figure 9. Radial flux of ions on the contour lines of different helium mole fractions.
图 10 不同氦气浓度轮廓线表面的化学反应速率
Figure 10. Reaction rate on the contour lines of different helium mole fractions.
图 11 当SG流速为(a) 0和(b) 3 slm时, 轴向位置z = 2.5 mm处的离子密度沿径向位置分布
Figure 11. Distribution of ion density at axial position z = 2.5 mm for SG flow rate of (a) 0 and (b) 3 slm.
图 12 不同氦气浓度轮廓线表面的径向电场变化情况
Figure 12. Variation of the radial electric field on the contour lines of different helium mole fractions.
图 13
$\rm N_2^+ $ 和$\rm O_2^+ $ 的化学反应速率的空间分布. 洋红色线分别表示不同氦气摩尔分数的等值轮廓线Figure 13. Spatial distribution of the reaction rates involving (a)
$\rm O_2^+ $ and (b)$\rm N_2^+ $ . The magenta lines are the contour lines of different helium mole fractions.表 1 中性气体流动模型的边界条件
Table 1. Boundary conditions of the neutral gas flow model.
边界 表达式 备注 AX — 对称轴 BC ui = 3 slm, c = 1 工作气体入口 DE uo, c = 0 屏蔽气体入口 FG u = 0.1 m/s, c = 0 环境空气入口 GW p = 1 atm, ${{\boldsymbol{n}}} \cdot {D_{\text{d} } }\nabla c = 0$ — BPO, CQRD,
UW, ESTFu = 0 m/s, ${{\boldsymbol{n}}} \cdot {D_{\text{d} } }\nabla c = 0$ — 
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表 2 等离子体动力学模型的边界条件
Table 2. Boundary conditions of the plasma dynamics model.
边界 表达式 备注 IPO V = V0, 方程(9)—方程(12) 外施电压 HX — 对称轴 IJ, KL $- {\boldsymbol{n}} \cdot {\boldsymbol{D}} = 0$, $- {\boldsymbol{n} } \cdot {\boldsymbol{\varGamma} } {\text{e} } = 0$, $- {\boldsymbol{n}} \cdot {\boldsymbol{\varGamma}} {\varepsilon } = 0$ TV V = 0, $- {\boldsymbol{n}} \cdot {\boldsymbol{\varGamma}} {\text{e} } = 0$, $- {\boldsymbol{n}} \cdot {\boldsymbol{\varGamma}} {\varepsilon } = 0$ 接地 TM, XYV V = 0 接地 UV, LST, JQRK 方程(9)—方程(12), 方程(14), 方程(15)
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表 A 等离子体化学反应
Table A. Chemical reactions considered in the plasma dynamics model.
序号 反应方程式 速率常数 能量损耗
/eV参考
文献1 ${\rm{e+He\to e+He}}$ f(c, ε) (m3·s–1) / [40] 2 ${\rm{e+He\to e+He^{\ast}}}$ f(c, ε) (m3·s–1) 19.82 [40] 3 ${\rm{e+He^{\ast }\to e+He}} $ f(c, ε) (m3·s–1) –19.82 [40] 4 ${\rm{e+He\to 2e+He^{+}}} $ f(c, ε) (m3·s–1) 24.587 [40] 5 ${\rm{e+N_{2}\to e+N_{2}}} $ f(c, ε) (m3·s–1) / [40] 6 ${\rm{e+N_{2}\to e+N_{2}(VIB\, \textit{v}1)}}$ f(c, ε) (m3·s–1) 0.2889 [40] 7 ${\rm{e+N_{2}\to e+N_{2}(VIB\, 3\textit{v}1)} }$ f(c, ε) (m3·s–1) 0.8559 [40] 8 ${\rm{e+N_{2}\to e+N_{2}(VIB\, 4\textit{v}1)} }$ f(c, ε) (m3·s–1) 1.1342 [40] 9 ${\rm{e+N_{2}\to e+N_{2}(VIB \,5\textit{v}1)} }$ f(c, ε) (m3·s–1) 1.4088 [40] 10 ${\rm{e+N_{2}\to 2e+N_{2}^{+}}} $ f(c, ε) (m3·s–1) 15.6 [40] 11 ${\rm{e+O_{2}\to e+O_{2}}} $ f(c, ε) (m3·s–1) / [40] 12 ${\rm{e+O_{2}\to O+O^{-}}} $ f(c, ε) (m3·s–1) / [40] 13 ${\rm{e+O_{2}\to O_{2}^{-}}} $ f(c, ε) (m3·s–1) / [40] 14 ${\rm{e+O_{2}\to e+O_{2}(VIB\, 3\textit{v}1)} }$ f(c, ε) (m3·s–1) 0.57 [40] 15 ${\rm{e+O_{2}\to e+O_{2}(VIB\, 4\textit{v}1)} }$ f(c, ε) (m3·s–1) 0.75 [40] 16 ${\rm{e+O_{2}\to e+O_{2} } }(\rm A1)$ f(c, ε) (m3·s–1) 0.997 [40] 17 ${\rm{e+O_{2}\to e+O_{2}}} $ f(c, ε) (m3·s–1) –0.997 [40] 18 ${\rm{e+O_{2}\to e+O_{2} } }(\rm B1)$ f(c, ε) (m3·s–1) 1.627 [40] 19 ${\rm{e+O_{2}\to e+O_{2}}} $ f(c, ε) (m3·s–1) –1.627 [40] 20 ${\rm{e+O_{2}\to e+O_{2}(EXC)}} $ f(c, ε) (m3·s–1) 4.5 [40] 21 ${\rm{e+O_{2}\to e+O+O}} $ f(c, ε) (m3·s–1) 5.58 [40] 22 ${\rm{e+O_{2}\to e+O+O(^{1}D)}} $ f(c, ε) (m3·s–1) 8.4 [40] 23 ${\rm{e+O_{2}\to 2e+O_{2}^{+}}}$ f(c, ε)(m3·s–1) 12.1 [40] 24 ${\rm{e+He^{\ast }\to 2e+He^{+}}} $ $4.661 \times {10^{ - 16} } \times {T_{\text{e} } ^{0.6}} \times { {\rm{e} }^{ - 4.78/T_{\text{e} } } }\,({\rm m}^3{\cdot} {\rm{s} }^{-1})$ 4.78 [41] 25 ${\rm{e+He_{2}^{\ast }\to 2e+He_{2}^{+}}} $ $1.268 \times {10^{ - 18} } \times {T_{\text{e} }^{0.71} }\times { {\text{e} }^{ - 3.4/T_{\text{e} } } }\, ({\rm m}^3{\cdot} {\rm{s} }^{-1})$ 3.4 [41] 26 ${\rm{2He^{\ast }\to e+He+He^{+}}} $ 4.5 × 10–16 (m3·s–1) –15 [41] 27 ${\rm{e+He_{2}^{+}\to He^{\ast}+He}} $ $5.386\times10^{-13}\times T_{\rm e}^{-0.5}\rm (m^3{\cdot} s^{-1})$ / [41] 28 ${\rm{e+He^{+}\to He^{\ast}}} $ $6.76\times10^{-19}\times T_{\rm e}^{-0.5}\rm (m^3{\cdot} s^{-1})$ / [41] 29 ${\rm{2e+He^{+}\to e+He^{\ast}}} $ $6.186\times10^{-39}\times T_{\rm e}^{-4.4}\rm (m^3{\cdot} s^{-1})$ / [31] 30 ${\rm{e+He+He^{+}\to He+He^{\ast}}} $ $6.66\times10^{-42}\times T_{\rm e}^{-2}\rm (m^6{\cdot} s^{-1})$ / [31] 31 ${\rm{2e+He_{2}^{+}\to He_{2}^{\ast}+e}} $ 1.2 × 10–33 (m6·s–1) / [31] 32 ${\rm{e+He+He_{2}^{+}\to He_{2}^{\ast }+He}} $ 1.5 × 10–39 (m6·s–1) / [31] 33 ${\rm{e+He+He_{2}^{+}\to He^{\ast }+2He}} $ 3.5 × 10–39 (m6·s–1) / [31] 34 ${\rm{2e+He_{2}^{+}\to He^{\ast }+He+e}} $ 2.8 × 10–32 (m6·s–1) / [31] 35 ${\rm{e+N_{2}\to e+N+N}} $ $1\times10^{-16}\times T_{\rm e}^{-0.5}\times {\rm e}^{{-16}/T_{\rm{e} }}\rm (m^3{\cdot} s^{-1})$ 9.757 [42] 36 ${\rm{e+N_{2}^{+}\to N+N}} $ $4.8\times10^{-13}\times T_{\rm e}^{-0.5}\rm (m^3{\cdot} s^{-1})$ / [42] 37 ${\rm{e+N_{2}^{+}\to N_{2}}} $ $7.72\times10^{-14}\times T_{\rm e}^{-0.5}\rm (m^3{\cdot} s^{-1})$ / [43] 38 ${\rm{e+N_{4}^{+}\to 2N_{2}}} $ $3.22\times10^{-13}\times T_{\rm e}^{-0.5}\rm (m^3{\cdot} s^{-1})$ / [44] 39 ${\rm{2e+N_{2}^{+}\to N_{2}+e}} $ $3.165\times10^{-42}\times T_{\rm e}^{-0.8}\rm (m^6 \cdot s^{-1})$ / [44] 40 ${\rm{e+2O_{2}\to O_{2}+O_{2}^{-}}} $ $5.17\times10^{-43}\times T_{\rm e}^{-1}\rm (m^6{\cdot} s^{-1})$ –0.43 [44] 41 ${\rm{e+O_{2}^{+}\to O+O}} $ $6\times10^{-11}\times T_{\rm e}^{-1}\rm (m^3{\cdot} s^{-1})$ –6.91 [44] 42 ${\rm{e+O_{2}^{+}\to O_{2}}} $ 4 × 10–18 (m3·s–1) / [43] 43 ${\rm{e+O_{4}^{+}\to 2O_{2}}} $ $2.25\times10^{-13}\times T_{\rm e}^{-0.5}\rm (m^3{\cdot} s^{-1})$ / [44] 44 ${\rm{He^{\ast}+ 2He \to He_{2}^{\ast }+He}} $ 1.3 × 10–45 (m6·s–1) / [41] 45 ${\rm{He^{+}+2He\to He_{2}^{+}+He}} $ 1 × 10–43 (m6·s–1) / [41] 46 ${\rm{N_{2}+N_{2}+N_{2}^{+}\to N_{2}+N_{4}^{+}}} $ 5 × 10–41 (m6·s–1) / [44] 47 ${\rm{O^{-}+O_{2}^{+}\to O+O_{2}}} $ 2 × 10–13 (m3·s–1) / [41] 48 ${\rm{O_{2}^{-}+O_{2}^{+}\to O_{2}+O_{2}}} $ 2 × 10–13 (m3·s–1) / [41] 49 ${\rm{O_{2}^{-}+O_{2}^{+}+O_{2}\to 3O_{2}}} $ 2 × 10–37 (m6·s–1) / [44] 50 ${\rm{O_{2}^{-}+O_{4}^{+}+O_{2}\to 4O_{2}}} $ 2 × 10–37 (m6·s–1) / [44] 51 ${\rm{O_{2}+O_{2}+O_{2}^{+}\to O_{2}+O_{4}^{+}}} $ 2.4 × 10–42 (m6·s–1) / [44] 52 ${\rm{He^{\ast }+N_{2}\to e+He+N_{2}^{+}}} $ 7 × 10–17 (m3·s–1) / [41] 53 ${\rm{He_{2}^{\ast }+N_{2}\to e+2He+N_{2}^{+}}} $ 7 × 10–17 (m3·s–1) / [41] 54 ${\rm{He_{2}^{\ast }+O_{2}\to e+2He+O_{2}^{+}}} $ 3.6 × 10–16 (m3·s–1) / [43] 55 ${\rm{He^{\ast }+O_{2}\to e+He+O_{2}^{+}}} $ 2.6 × 10–16 (m3·s–1) / [43] 56 ${\rm{He_{2}^{+}+N_{2}\to N_{2}^{+}+2He}} $ 5 × 10–16 (m3·s–1) / [41] 57 ${\rm{He^{+}+N_{2}\to N_{2}^{+}+He}} $ 5 × 10–16 (m3·s–1) / [41] 58 ${\rm{He+N_{2}+N_{2}^{+}\to He+N_{4}^{+}}} $ 8.9 × 10–42 (m6·s–1) / [42] 59 ${\rm{He+O_{2}+O_{2}^{+}\to He+O_{4}^{+}}} $ 5.8 × 10–43 (m6·s–1) / [42] 60 ${\rm{He+O_{2}^{-}+O_{2}^{+}\to He+2O_{2}}} $ 2 × 10–37 (m6·s–1) / [43] 61 ${\rm{O_{2}^{-}+O_{2}^{+}+N_{2}\to 2O_{2}+N_{2}}} $ 2 × 10–37 (m6·s–1) / [43] 62 ${\rm{O_{2}^{-}+O_{4}^{+}+N_{2}\to 3O_{2}+N_{2}}} $ 2 × 10–37 (m6·s–1) / [44] 63 ${\rm{N_{2}+O_{2}+N_{2}^{+}\to O_{2}+N_{4}^{+}}} $ 5 × 10–41 (m6·s–1) / [44] 64 ${\rm{O_{2}+N_{4}^{+}\to 2N_{2}+O_{2}^{+}}} $ 2.5 × 10–16 (m3·s–1) / [44] 65 ${\rm{O_{2}+N+N\to O_{2}+N_{2}}} $ 3.9 × 10–45 (m6·s–1) / [43] 66 ${\rm{O+O+N\to O_{2}+N}} $ 3.2 × 10–45 (m6·s–1) / [42] 注: f(c, ε)表示速率系数是通过电子能量分布函数(EEDF)使用相关文献中的横截面获得的. c表示He摩尔分数, ε表示平均电子能量(eV), ne和Te表示电子密度(m–3) 和电子温度(eV). 他代表He(23S)和He(21S). He2*代表He2(a3∑u+). N2(VIB v1), N2(VIB 3v1), N2(VIB 4v1)和N2(VIB 5v1)被视为N2, O2(VIB 3v1), O2(VIB 4v1), O2(A1), O2(B1)和O2(EXC)被视为O2; O(1D)和O(1S)被视为O.
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表 3 与
$ \rm N_2^+, N_4^+和O_2^+ $ 相关的化学反应速率Table 3. Reaction rates involving
$ \rm N_2^+, N_4^+ \text{ and }O_2^+ $ 反应 cHe = 98%轮
廓线上
化学反应速率
/(mol·m–2·s–1)cHe = 95%轮
廓线上
化学反应速率
/(mol·m–2·s–1)cHe = 90%轮
廓线上
化学反应速率
/(mol·m–2·s–1)R41: e + $\rm O_2^+$ → O + O 2.98 × 10–3 1.27 × 10–3 3.81 × 10–4 R46: N2 + N2 + $\rm N_2^+ $ → N2 + $\rm N_4^+$ 1.67 × 10–4 1.61 × 10–5 2.67 × 10–7 R51: O2 + O2 + $\rm O_2^+$ → O2 + $\rm O_4^+$ 8.86 × 10–7 3.83 × 10–6 6.70 × 10–6 R52: He* + N2 → e + He + $\rm N_2^+ $ 1.29 × 10–3 4.48 × 10–5 4.96 × 10–7 R55: He* + O2 → e + He + $\rm O_2^+$ 1.28 × 10–3 4.42 × 10–5 4.90 × 10–7 R58: He + N2 + $\rm N_2^+ $ → He + $\rm N_4^+ $ 1.86 × 10–3 6.92 × 10–5 5.41 × 10–7 R63: N2 + O2 + $\rm N_2^+ $ → O2 + $\rm N_4^+ $ 4.45 × 10–5 4.29 × 10–6 7.09 × 10–8 R64: O2 + $\rm N_4^+ $ → 2N2 + $\rm O_2^+$ 1.59 × 10–3 9.67 × 10–4 1.10 × 10–4
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[1] 孔得霖, 杨冰彦, 何锋, 韩若愚, 缪劲松, 宋廷鲁, 欧阳吉庭 2021 物理学报 70 095205
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Kong D L, Yang B Y, He F, Han R Y, Miao J S, Song T L, Ouyang J T 2021 Acta Phys. Sin. 70 095205
Google Scholar
[2] 张海宝, 陈强 2021 物理学报 70 095203
Google Scholar
Zhang H B, Chen Q 2021 Acta Phys. Sin. 70 095203
Google Scholar
[3] 李寿哲, 谢士辉, 吴悦, 廖宏达 2021 高电压技术 47 3012
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