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Laser-based diagnostic techniques are critical nonintrusive methods of measuring the in-situ temperature in combustion flow fields. Developing temperature measurement techniques with high accuracy and precision is of great significance for studying the combustion. At present, nanosecond (ns) lasers are commonly used in these methods. However, the researches based on femtosecond (fs) lasers are relatively few. Here, we develop a thermometry technique for combustion fields based on fs laser-induced filament. When the fs laser propagates in an optical medium, a long uniformly distributed plasma channel (also named filament) will be generated. The clamped intensity inside the filament is high enough to generate excited atoms/molecules through fs laser-induced photochemical reactions. Subsequently, the excited atoms/molecules release fluorescence signals. The length of the filament can be measured by imaging the fluorescence signal with an ICCD camera, which is evaluated by the full width at half maximum (FWHM) of the spatial distribution of the filament emission signal. Based on theoretical analysis, the experimental data of the filament length are fitted with a power function, and the result is satisfactory compared with the R-squared measure of goodness (R2) of 0.984. This indicates that the filament length is correlated well with the temperature of the combustion field. A monotonic quantitative relationship between the filament length and the temperature can be established by a calibration process, and then the temperature of the combustion field can be measured. When the temperature changes from 1630 to 2007 K, the length of the filament shortens by 38%. This indicates that the filament length is sensitive to the temperature of the flow field. When the temperature is 2007 K, the absolute uncertainty of the measurement is ±25 K, and the relative uncertainly is about 1.2%. The spatial resolution of the measurement system is 50 μm, which was determined by a USAF 1951 Target. Based on the spatial resolution, the measurement precision can arrive at 17 K. Although, at present, this temperature measurement technique based on femtosecond laser-induced filament is used only in laminar premixed flames, it has potential applications in temperature measurements ranging from room temperature to combustion temperatures.
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Keywords:
- femtosecond laser /
- filamentation /
- temperature
[1] 冯玉霄, 黄群星, 梁军辉, 王飞, 严建华, 池涌 2012 物理学报 61 134702Google Scholar
Feng Y X, Huang Q X, Liang J H, Wang F, Yan J H, Chi Y 2012 Acta Phys. Sin. 61 134702Google Scholar
[2] Wei Z, Huang Q 2020 Food Hydrocolloids 98 105314Google Scholar
[3] Pramanik S, Ravikrishna R V 2020 Exp. Therm. Fluid Sci. 110 109926Google Scholar
[4] Xu Z, Tian X, Zhao H 2017 Proc. Combust. Inst. 36 4443Google Scholar
[5] Krishnan S, Kumfer B M, Wu W, Li J C, Nehorai A, Axelbaum R L 2015 Energy Fuels 29 3446Google Scholar
[6] Zeng H, Ou D, Chen L, Li F, Yu X 2018 Opt. Eng. 57 26106Google Scholar
[7] 许振宇, 刘文清, 刘建国, 何俊峰, 姚路, 阮俊, 陈玖英, 李晗, 袁松, 耿辉, 阚瑞峰 2012 物理学报 61 234204Google Scholar
Xu Z Y, Liu W Q, Liu J G, He J F, Yao L, Ruan J, Chen J Y, Li H, Yuan S, Geng H, Han R F 2012 Acta Phys. Sin. 61 234204Google Scholar
[8] 宋俊玲, 洪延姬, 王广宇, 潘虎 2012 物理学报 61 240702Google Scholar
Song J L, Hong Y J, Wang G Y, Pan H 2012 Acta Phys. Sin. 61 240702Google Scholar
[9] Whiddon R, Zhou B, Borggren J, Alden M, Li Z S 2015 Rev. Sci. Instrum. 86 93107Google Scholar
[10] Malmqvist E, Borggren J, Alden M, Bood J 2019 Appl. Opt. 58 1128Google Scholar
[11] 瞿谱波, 关小伟, 张振荣, 王晟, 李国华, 叶景峰, 胡志云 2015 物理学报 64 123301Google Scholar
Qu P B, Guan X W, Zhang Z R, Wang S, Li G H, Ye J F, Hu Z Y 2015 Acta Phys. Sin. 64 123301Google Scholar
[12] Luers A, Salhlberg A, Hochgreb S, Ewart P 2018 Appl. Phys. B-Lasers O. 124 1Google Scholar
[13] Yuen F T C, Gülder Ö L 2009 Proc. Combust. Inst. 32 1747Google Scholar
[14] Butterworth T D, Amyay B, Bekerom D V D, Steeg A V D, Minea T, Gatti N, Ong Q, Richard C, Kruijsdijk C, Smits J T, Bavel A P, Boudon V, Rooij G J 2019 J. Quant. Spectrosc. Radiat. Transfer 236 106562Google Scholar
[15] 任秀云, 田兆硕, 孙兰君, 付石友 2014 物理学报 16 164201Google Scholar
Ren X Y, Tian Z S, Sun L J, Fu S Y 2014 Acta Phys. Sin. 16 164201Google Scholar
[16] Cantu L M L, Grohmann J, Meier W, Aigner M 2018 Exp. Therm. Fluid Sci. 95 52Google Scholar
[17] Lowe A, Thomas L M, Satija A, Lucht R P, Masri A R 2019 Proc. Combust. Inst. 37 1383Google Scholar
[18] Nishihara M, Freund J B, Glumac N G, Ellott G S 2018 Plasma Sources Sci. Technol. 27 35012Google Scholar
[19] Roy S, Kulatilaka W D, Richardson D R, Lucht R P, Gord J R 2009 Opt. Lett. 34 3857Google Scholar
[20] Théberge F, Liu W, Simard P T, Becker A, Chin S L 2006 Phys. Rev. E 74 36406Google Scholar
[21] Li B, Zhang D Y, Li X F, Gao Q, Zhu Z F, Li Z S 2018 J. Phys. D: Appl. Phys. 51 295102Google Scholar
[22] Gao Q, Zhang D Y, Li X F, Li B, Li Z S 2019 Sens. Actuators, A 287 138Google Scholar
[23] Li B, Zhang D Y, Gao Q, Li Z S 2020 Exp. Fluids 61 33Google Scholar
[24] Couairon A, Mysyrowicz A 2007 Phys. Rep. 441 47Google Scholar
[25] Liu Y, Durand M, Chen S, Houard A, Prade B, Forstier B, Mysyrowicz A 2010 Phys. Rev. Lett. 105 55003Google Scholar
[26] Couairon A 2003 Appl. Phys. B-Lasers O. 76 789Google Scholar
[27] Nibbering E T J, Grillon G, Franco M A, Prade B S, Mysyrowicz A 1997 J. Opt. Soc. Am. B: Opt. Phys. 14 650Google Scholar
[28] Rabenstein F, Leipertz A 1997 Appl. Opt. 36 6989Google Scholar
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表 1 不同气体非线性折射率n2
Table 1. Nonlinear refractive index n2 of different gases.
气体 非线性折射率/10–18 cm2·W–1 空气 1.2 甲烷 1.1 表 2 不同条件下燃烧场的温度信息
Table 2. Flame temperatures with different equivalence ratios.
燃空当量比 温度/K 0.8 1630 0.9 1724 1.0 1818 1.1 1913 1.2 2007 -
[1] 冯玉霄, 黄群星, 梁军辉, 王飞, 严建华, 池涌 2012 物理学报 61 134702Google Scholar
Feng Y X, Huang Q X, Liang J H, Wang F, Yan J H, Chi Y 2012 Acta Phys. Sin. 61 134702Google Scholar
[2] Wei Z, Huang Q 2020 Food Hydrocolloids 98 105314Google Scholar
[3] Pramanik S, Ravikrishna R V 2020 Exp. Therm. Fluid Sci. 110 109926Google Scholar
[4] Xu Z, Tian X, Zhao H 2017 Proc. Combust. Inst. 36 4443Google Scholar
[5] Krishnan S, Kumfer B M, Wu W, Li J C, Nehorai A, Axelbaum R L 2015 Energy Fuels 29 3446Google Scholar
[6] Zeng H, Ou D, Chen L, Li F, Yu X 2018 Opt. Eng. 57 26106Google Scholar
[7] 许振宇, 刘文清, 刘建国, 何俊峰, 姚路, 阮俊, 陈玖英, 李晗, 袁松, 耿辉, 阚瑞峰 2012 物理学报 61 234204Google Scholar
Xu Z Y, Liu W Q, Liu J G, He J F, Yao L, Ruan J, Chen J Y, Li H, Yuan S, Geng H, Han R F 2012 Acta Phys. Sin. 61 234204Google Scholar
[8] 宋俊玲, 洪延姬, 王广宇, 潘虎 2012 物理学报 61 240702Google Scholar
Song J L, Hong Y J, Wang G Y, Pan H 2012 Acta Phys. Sin. 61 240702Google Scholar
[9] Whiddon R, Zhou B, Borggren J, Alden M, Li Z S 2015 Rev. Sci. Instrum. 86 93107Google Scholar
[10] Malmqvist E, Borggren J, Alden M, Bood J 2019 Appl. Opt. 58 1128Google Scholar
[11] 瞿谱波, 关小伟, 张振荣, 王晟, 李国华, 叶景峰, 胡志云 2015 物理学报 64 123301Google Scholar
Qu P B, Guan X W, Zhang Z R, Wang S, Li G H, Ye J F, Hu Z Y 2015 Acta Phys. Sin. 64 123301Google Scholar
[12] Luers A, Salhlberg A, Hochgreb S, Ewart P 2018 Appl. Phys. B-Lasers O. 124 1Google Scholar
[13] Yuen F T C, Gülder Ö L 2009 Proc. Combust. Inst. 32 1747Google Scholar
[14] Butterworth T D, Amyay B, Bekerom D V D, Steeg A V D, Minea T, Gatti N, Ong Q, Richard C, Kruijsdijk C, Smits J T, Bavel A P, Boudon V, Rooij G J 2019 J. Quant. Spectrosc. Radiat. Transfer 236 106562Google Scholar
[15] 任秀云, 田兆硕, 孙兰君, 付石友 2014 物理学报 16 164201Google Scholar
Ren X Y, Tian Z S, Sun L J, Fu S Y 2014 Acta Phys. Sin. 16 164201Google Scholar
[16] Cantu L M L, Grohmann J, Meier W, Aigner M 2018 Exp. Therm. Fluid Sci. 95 52Google Scholar
[17] Lowe A, Thomas L M, Satija A, Lucht R P, Masri A R 2019 Proc. Combust. Inst. 37 1383Google Scholar
[18] Nishihara M, Freund J B, Glumac N G, Ellott G S 2018 Plasma Sources Sci. Technol. 27 35012Google Scholar
[19] Roy S, Kulatilaka W D, Richardson D R, Lucht R P, Gord J R 2009 Opt. Lett. 34 3857Google Scholar
[20] Théberge F, Liu W, Simard P T, Becker A, Chin S L 2006 Phys. Rev. E 74 36406Google Scholar
[21] Li B, Zhang D Y, Li X F, Gao Q, Zhu Z F, Li Z S 2018 J. Phys. D: Appl. Phys. 51 295102Google Scholar
[22] Gao Q, Zhang D Y, Li X F, Li B, Li Z S 2019 Sens. Actuators, A 287 138Google Scholar
[23] Li B, Zhang D Y, Gao Q, Li Z S 2020 Exp. Fluids 61 33Google Scholar
[24] Couairon A, Mysyrowicz A 2007 Phys. Rep. 441 47Google Scholar
[25] Liu Y, Durand M, Chen S, Houard A, Prade B, Forstier B, Mysyrowicz A 2010 Phys. Rev. Lett. 105 55003Google Scholar
[26] Couairon A 2003 Appl. Phys. B-Lasers O. 76 789Google Scholar
[27] Nibbering E T J, Grillon G, Franco M A, Prade B S, Mysyrowicz A 1997 J. Opt. Soc. Am. B: Opt. Phys. 14 650Google Scholar
[28] Rabenstein F, Leipertz A 1997 Appl. Opt. 36 6989Google Scholar
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