CN105548184A - Pipe system for quantizing detonation instability degree of premixed gas and method thereof - Google Patents
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Abstract
本发明涉及一种量化预混气爆轰不稳定度的管道系统及其方法,该管道系统包括引爆管、第一管路、第二管路、烟膜和测量装置;引爆管的一端通过第一法兰与第一管路的一端密封连接,第一管路的另一端通过第二法兰与第二管路的一端密封连接,引爆管的另一端与第二管路的另一端分别通过带有橡胶密封圈的法兰封头密封,测量装置设置在第一管路和第二管路上,烟膜设置在第二管路的内部位于带有橡胶密封圈的法兰封头的一侧。本发明可靠灵活的快速获得多种预混气的不同初始压力下的烟膜结果,给出数字化处理烟膜图像的技术方法。系统完善了定量化预混气爆轰不稳定程度的方法,能广泛应用于预混气的烟膜轨迹分析,利于进行量化对比。
The invention relates to a pipeline system and method for quantifying the detonation instability of premixed gas. The pipeline system includes a detonator, a first pipeline, a second pipeline, a smoke film and a measuring device; one end of the detonator passes through the first A flange is sealed to one end of the first pipeline, the other end of the first pipeline is sealed to one end of the second pipeline through the second flange, and the other end of the detonator is connected to the other end of the second pipeline respectively through Flange head seal with rubber sealing ring, the measuring device is set on the first pipeline and the second pipeline, the smoke film is set inside the second pipeline on the side of the flange head with rubber sealing ring . The invention reliably and flexibly obtains the smoke film results under different initial pressures of various premixed gases quickly, and provides a technical method for digitally processing the smoke film images. The system has improved the method of quantifying the detonation instability of premixed gas, which can be widely used in the analysis of smoke film trajectory of premixed gas, which is beneficial for quantitative comparison.
Description
技术领域technical field
本发明涉及爆轰机理研究方法,特别是爆轰不稳定度与爆轰结构的研究的一种量化预混气爆轰不稳定度的管道系统及其方法。The invention relates to a research method of detonation mechanism, in particular to a pipeline system and method for quantifying the detonation instability of premixed gas for the research of detonation instability and detonation structure.
背景技术Background technique
文献1(Lee,J.H.S.Dynamicsofexothermicity.1995:321-335.GordonandBreach.)指出,稳定与不稳定爆震熄爆机制不同。横波轨迹形成的胞格结构的量化研究在爆震传播中非常重要。实验中获得的烟膜上记录的轨迹不是直线前进,为了解释并描述这个现象的原因需要研究不同气体的不稳定程度。一直以来,烟膜轨迹来描述的“规则轨迹”和“不规则轨迹”的分类是定性和主观的。对于烟膜上记录的高度不规则横波轨迹很难明确其结构性质。因此,定量分析预混气的爆轰不稳定性对完善爆轰机理有重要意义。在此以烟膜轨迹的不规则度来描述预混气爆轰不稳定度。Document 1 (Lee, J.H.S.Dynamicsofexothermicity.1995:321-335.GordonandBreach.) points out that stable and unstable detonation mechanisms are different. The quantitative study of the cellular structure formed by the shear wave trajectory is very important in detonation propagation. The trajectory recorded on the smoke film obtained in the experiment does not move in a straight line. In order to explain and describe the reason for this phenomenon, it is necessary to study the degree of instability of different gases. The classification of "regular trajectories" and "irregular trajectories" described by smoke film trajectories has been qualitative and subjective. It is difficult to clarify the structural properties of the highly irregular shear-wave trajectories recorded on the smoke film. Therefore, quantitative analysis of the detonation instability of premixed gas is of great significance for perfecting the detonation mechanism. Here, the detonation instability of the premixed gas is described by the irregularity of the smoke film trajectory.
如果直接扫描烟膜来获得轨迹是十分困难的。因为非均匀烟灰沉积物导致的“灰度不均匀”、“误差”,调整“灰度”是必需的。文献2(J.J.Lee,FrostD,LeeJHS,KnystautasR(1993)Digitalsignalprocessinganalysisofsoot-foils.ProgressinAstronauticsandAeronautics,AIAAPress,Washington,153:182-202.)和文献3(J.J.Lee,D.Garinis,Two-dimensionalautocorrelationfunctionanalysisofsmokedfoilpatterns,ShockWaves,1995,5:169-174.)指出进行烟膜轨迹的手绘记录扫描,得到可以进行数字处理的轨迹图片的方法。在过去几十年里,尽管对爆震的稳定性理论开展了研究,但目前仍然没有系统的定量方法。It is very difficult to directly scan the smoke film to obtain the trajectory. Adjusting the "grey scale" is necessary because of "grey scale unevenness", "errors" caused by non-uniform soot deposits.文献2(J.J.Lee,FrostD,LeeJHS,KnystautasR(1993)Digitalsignalprocessinganalysisofsoot-foils.ProgressinAstronauticsandAeronautics,AIAAPress,Washington,153:182-202.)和文献3(J.J.Lee,D.Garinis,Two-dimensionalautocorrelationfunctionanalysisofsmokedfoilpatterns,ShockWaves,1995, 5:169-174.) Point out the method of hand-drawn recording and scanning of cigarette film trajectory to obtain trajectory pictures that can be processed digitally. In the past few decades, although the stability theory of knock has been studied, there is still no systematic quantitative method.
发明内容Contents of the invention
为了解决上述问题,本发明的目的是提供一种结构简单,使用方便,可获得多种预混气在不同初始压力条件下的烟膜,可定量描述不同预混气的爆轰不稳定程度的的量化预混气爆轰不稳定度的管道系统及其方法。In order to solve the above problems, the object of the present invention is to provide a simple structure, easy to use, can obtain the smoke film of various premixed gases under different initial pressure conditions, and can quantitatively describe the degree of detonation instability of different premixed gases Piping systems and methods for quantifying detonation instability of premixed gases.
本发明的技术方案是:一种量化预混气爆轰不稳定度的管道系统,该系统包括引爆管、第一管路、第二管路、烟膜和测量装置;The technical solution of the present invention is: a pipeline system for quantifying the detonation instability of premixed gas, the system comprising a detonator, a first pipeline, a second pipeline, a smoke film and a measuring device;
所述引爆管的一端通过第一法兰与所述第一管路的一端密封连接,所述第一管路的另一端通过第二法兰与所述第二管路的一端密封连接,所述引爆管的另一端与所述第二管路的另一端分别通过带有橡胶密封圈的法兰封头密封,所述测量装置设置在所述第一管路和第二管路上,所述烟膜设置在第二管路的内部位于带有橡胶密封圈的法兰封头的一侧。One end of the detonating tube is sealingly connected to one end of the first pipeline through a first flange, and the other end of the first pipeline is sealingly connected to one end of the second pipeline through a second flange, so The other end of the detonating tube and the other end of the second pipeline are respectively sealed by a flange head with a rubber sealing ring, the measuring device is arranged on the first pipeline and the second pipeline, and the The smoke film is arranged inside the second pipeline on one side of the flange head with the rubber sealing ring.
进一步,所述测量装置包括光纤和光纤固定圈,所述光纤通过光纤固定圈分别固定在所述第一管路和第二管路的外侧壁上。Further, the measurement device includes an optical fiber and an optical fiber fixing ring, and the optical fiber is respectively fixed on the outer walls of the first pipeline and the second pipeline through the optical fiber fixing ring.
进一步,所述引爆管为金属管,所述引爆管长度为0.8-1.2m,内径为50.8mm-63.5mm。Further, the detonating tube is a metal tube, the length of the detonating tube is 0.8-1.2m, and the inner diameter is 50.8mm-63.5mm.
进一步,所述第一管路和第二管路均为高强度PC管,内径为50.8mm-63.5mm。Further, the first pipeline and the second pipeline are both high-strength PC pipes with an inner diameter of 50.8mm-63.5mm.
进一步,所述烟膜的厚度为0.04mm以上。Further, the thickness of the smoke film is more than 0.04mm.
本发明的另一目的是提供使用上述管道系统的进行分析的方法,具体包括以下步骤:Another object of the present invention is to provide a method for analyzing using the above pipeline system, which specifically includes the following steps:
步骤1.首先将管道系统组装完成,检测密封性,向管道系统内通入测试气体,利用等容条件计算爆破管内测试气体的气分压,获得精准的实验初始压力值,然后引爆测试气体,起爆后,将引爆管内抽真空然后缓慢放入大气,以保证不要在烟膜上形成冲刷痕迹,打开封头法兰,取出带有轨迹图的烟膜后均匀喷透明的保护漆,对所述烟膜进行扫描,得到扫描图像;Step 1. First assemble the pipeline system, check the tightness, pass the test gas into the pipeline system, use the equal volume condition to calculate the partial pressure of the test gas in the blasting tube, obtain an accurate initial pressure value of the experiment, and then detonate the test gas, After detonation, vacuumize the detonating tube and then slowly put it into the atmosphere to ensure that no scour marks will be formed on the smoke film. Open the flange of the head, take out the smoke film with the trajectory map, and spray transparent protective paint evenly. The smoke film is scanned to obtain a scanned image;
步骤2.对经步骤1得到扫描图像进行定量不稳定分析,以烟膜的真实高度即为轨迹图上作出一条垂直线,确定垂直线的像素离散点的数量n,当一条垂直线碰到轨迹线时即记录下这个线上突变的像素的位置,值记为‘1’,其它的像素点值记为‘0’,每一个像素都被离散数值化,就将轨迹图转化得到一个离散函数,以序列函数x(n)记录离散函数,含有1和0的离散信号,n是离散点的数量,x是离散点的值,由‘1’和‘0’构成;Step 2. Carry out quantitative instability analysis to the scanned image obtained through step 1, make a vertical line on the trajectory map with the true height of the smoke film, determine the number n of pixel discrete points of the vertical line, when a vertical line touches the trajectory Record the position of the sudden change pixel on the line, record the value as '1', and record the value of other pixels as '0', each pixel is discretely numericalized, and the trajectory map is transformed into a discrete function , record the discrete function as a sequence function x(n), which contains discrete signals of 1 and 0, n is the number of discrete points, x is the value of discrete points, composed of '1' and '0';
根据以下公式计算自相关函数φxx(m),公式如下:Calculate the autocorrelation function φ xx (m) according to the following formula, which is as follows:
(式1) (Formula 1)
式中,是和y的互相关函数,M为个单元个数;y(n)是x(n)的零填充序列平移函数,n是所有垂直线得到离散点的数量,m为平移值,x是离散点的值;In the formula, yes and y The cross-correlation function, M is the number of units; y(n) is the zero-fill sequence translation function of x(n), n is the number of discrete points obtained by all vertical lines, m is the translation value, and x is the value of discrete points ;
步骤3:计算结束后可直观给出自相关函数结果的频谱图形式,图中的第一个最高峰值所占比例Φ1st max,即对应的纵坐标数值,及高出其它峰值所占比例的倍数Φ1st max/Φ2ed max即给出预混气爆轰不稳定度。Step 3: After the calculation, the spectrogram form of the autocorrelation function result can be visually given. The proportion of the first highest peak in the figure is Φ 1st max , which is the corresponding ordinate value, and the multiple of the proportion higher than other peaks Φ 1st max /Φ 2ed max gives the detonation instability of the premixed gas.
当轨迹完全规则,离散函数在平移一定间距后仍会与原函数重复;也仅在平移距离是轨迹间距的倍数时,离散函数与平移后的离散函数完全重复,那么自相关函数ACF的第一个最高峰值对应的平移距离就是主要轨迹间距,其它峰值对应占比较少的轨迹间距及倍数。即使是不规则的轨迹,自相关函数的第一个峰值也代表出现频率最高的轨迹间距。因此自相关函数结果的第一个最高峰值所占比例及高出其它峰值的倍数即给出预混气爆轰不稳定度。When the trajectory is completely regular, the discrete function will still repeat the original function after a certain distance of translation; only when the translation distance is a multiple of the trajectory distance, the discrete function and the discrete function after translation are completely repeated, then the first autocorrelation function ACF The translation distance corresponding to the highest peak is the main track spacing, and the other peaks correspond to less track spacing and multiples. Even for irregular trajectories, the first peak of the autocorrelation function represents the most frequently occurring trajectories spacing. Therefore, the proportion of the first highest peak of the autocorrelation function result and the multiples higher than other peaks give the detonation instability of the premixed gas.
本发明的优点及积极效果:由于采用上述技术方案,本发明可靠灵活的快速获得多种预混气的不同初始压力下的烟膜结果,给出数字化处理烟膜图像的技术方法。系统完善了定量化预混气爆轰不稳定程度的方法,能广泛应用于预混气的烟膜轨迹分析,利于进行量化对比。Advantages and positive effects of the present invention: Due to the adoption of the above-mentioned technical scheme, the present invention can reliably and flexibly obtain the smoke film results under different initial pressures of various premixed gases quickly, and provides a technical method for digitally processing smoke film images. The system has improved the method of quantifying the detonation instability of premixed gas, which can be widely used in the analysis of smoke film trajectory of premixed gas, which is beneficial for quantitative comparison.
附图说明Description of drawings
图1为本发明的量化预混气爆轰不稳定度的管道系统的结构示意图。Fig. 1 is a structural schematic diagram of the pipeline system for quantifying the detonation instability of premixed gas according to the present invention.
图2为CH4+2O2预混气初始压力7.25kPa的爆轰烟膜轨迹图。Fig. 2 is the detonation smoke film trajectory diagram of CH 4 +2O 2 premixed gas with an initial pressure of 7.25kPa.
图3为CH4+2O2预混气初始压力7.25kPa烟膜的左旋轨迹线图。Fig. 3 is a left-handed trajectory diagram of the CH 4 +2O 2 premixed gas smoke film with an initial pressure of 7.25kPa.
图4为CH4+2O2预混气初始压力为7.25kPa烟膜左旋轨迹无偏颇自相关函数。Figure 4 shows the unbiased autocorrelation function of the left-handed trajectory of the smoke film with the initial pressure of CH 4 +2O 2 premixed gas at 7.25kPa.
图5为CH4+2O2预混气初始压力为7.25kPa烟膜左旋轨迹偏颇自相关函数。Figure 5 shows the biased autocorrelation function of the left-handed trajectory of the smoke film with the initial pressure of CH 4 +2O 2 premixed gas at 7.25kPa.
图中:In the picture:
1、引爆管;2、第一法兰,3、第一管路,4、第二法兰,5、第二管路;6、烟膜,7、封头法兰,8、光纤固定圈,9、光纤。1. Detonation tube; 2. First flange, 3. First pipeline, 4. Second flange, 5. Second pipeline; 6. Smoke film, 7. Head flange, 8. Optical fiber fixing ring , 9, optical fiber.
具体实施方式detailed description
下面结合具体实施例对本发明的技术方案作进一步说明。The technical solutions of the present invention will be further described below in conjunction with specific embodiments.
如图1所示为本发明一种量化预混气爆轰不稳定度的管道系统的结构示意图,该系统包括引爆管、第一管路、第二管路、烟膜和测量装置;As shown in Figure 1, it is a structural schematic diagram of a pipeline system for quantifying the detonation instability of premixed gas according to the present invention. The system includes a detonator, a first pipeline, a second pipeline, a smoke film and a measuring device;
所述测量装置包括光纤和光纤固定圈;The measuring device includes an optical fiber and an optical fiber fixing ring;
其中,所述引爆管的一端通过第一法兰与所述第一管路的一端密封连接,所述第一管路的另一端通过第二法兰与所述第二管路的一端密封连接,所述引爆管的另一端与所述第二管路的另一端分别通过带有橡胶密封圈的法兰封头密封,所述测量装置设置在所述第一管路和第二管路上,所述烟膜设置在第二管路的内部位于带有橡胶密封圈的法兰封头的一侧,所述光纤通过光纤固定圈分别固定在所述第一管路和第二管路的外侧壁上。所述引爆管为金属管,所述引爆管长度为0.8-1.2m,内径为50.8mm-63.5mm。所述第一管路和第二管路均为高强度PC管,内径为50.8mm-63.5mm。所述烟膜的厚度为0.04mm以上。Wherein, one end of the detonating tube is sealingly connected to one end of the first pipeline through a first flange, and the other end of the first pipeline is sealingly connected to one end of the second pipeline through a second flange. , the other end of the detonating tube and the other end of the second pipeline are respectively sealed by a flange head with a rubber sealing ring, and the measuring device is arranged on the first pipeline and the second pipeline, The smoke film is arranged inside the second pipeline on one side of the flange head with a rubber sealing ring, and the optical fiber is respectively fixed on the outside of the first pipeline and the second pipeline through an optical fiber fixing ring on the wall. The detonating tube is a metal tube, the length of the detonating tube is 0.8-1.2m, and the inner diameter is 50.8mm-63.5mm. Both the first pipeline and the second pipeline are high-strength PC pipes with an inner diameter of 50.8mm-63.5mm. The thickness of the smoke film is above 0.04mm.
本发明的另一目的是提供上述系统的试验方法,具体包括以下步骤:Another object of the present invention is to provide the test method of above-mentioned system, specifically comprises the following steps:
步骤1.首先将管道系统组装完成,检测密封性,向管道系统内通入测试气体,利用等容条件计算爆破管内测试气体的气分压,获得精准的实验初始压力值,然后引爆测试气体,起爆后,将引爆管内抽真空然后缓慢放入大气,以保证不要在烟膜上形成冲刷痕迹,打开封头法兰,取出带有轨迹图的烟膜后均匀喷透明的保护漆,对所述烟膜进行扫描,得到扫描图像;Step 1. First assemble the pipeline system, check the tightness, pass the test gas into the pipeline system, use the equal volume condition to calculate the partial pressure of the test gas in the blasting tube, obtain an accurate initial pressure value of the experiment, and then detonate the test gas, After detonation, vacuumize the detonating tube and then slowly put it into the atmosphere to ensure that no scour marks will be formed on the smoke film. Open the flange of the head, take out the smoke film with the trajectory map, and spray transparent protective paint evenly. The smoke film is scanned to obtain a scanned image;
步骤2.对经步骤1得到扫描图像进行定量不稳定分析,以烟膜的真实高度即为轨迹图上作出一条垂直线,确定垂直线的像素离散点的数量n,当一条垂直线碰到轨迹线时即记录下这个线上突变的像素的位置,值记为‘1’,其它的像素点值记为‘0’,每一个像素都被离散数值化,就将轨迹图转化得到一个离散函数,以序列函数x(n)记录离散函数,含有1和0的离散信号,n是离散点的数量,x是离散点的值,由‘1’和‘0’构成;Step 2. Carry out quantitative instability analysis to the scanned image obtained through step 1, make a vertical line on the trajectory map with the true height of the smoke film, determine the number n of pixel discrete points of the vertical line, when a vertical line touches the trajectory Record the position of the sudden change pixel on the line, record the value as '1', and record the value of other pixels as '0', each pixel is discretely numericalized, and the trajectory map is transformed into a discrete function , record the discrete function as a sequence function x(n), which contains discrete signals of 1 and 0, n is the number of discrete points, x is the value of discrete points, composed of '1' and '0';
根据以下公式计算自相关函数φxx(m),公式如下:Calculate the autocorrelation function φ xx (m) according to the following formula, which is as follows:
(式1) (Formula 1)
式中,是和y的互相关函数,M为个单元个数;y(n)是x(n)的零填充序列平移函数,n是所有垂直线得到离散点的数量,m为平移值,x是离散点的值;In the formula, yes and y The cross-correlation function, M is the number of units; y(n) is the zero-fill sequence translation function of x(n), n is the number of discrete points obtained by all vertical lines, m is the translation value, and x is the value of discrete points ;
步骤3:计算结束后可直观给出自相关函数结果的频谱图形式,图中的第一个最高峰值所占比例Φ1st max,即对应的纵坐标数值,及高出其它峰值所占比例的倍数Φ1st max/Φ2ed max即给出预混气爆轰不稳定度。Step 3: After the calculation, the spectrogram form of the autocorrelation function result can be visually given. The proportion of the first highest peak in the figure is Φ 1st max , which is the corresponding ordinate value, and the multiple of the proportion higher than other peaks Φ 1st max /Φ 2ed max gives the detonation instability of the premixed gas.
实施例1Example 1
为表明该爆轰不稳定度计算方法通用于各类烟膜轨迹,下面以不易点燃但敏感且轨迹十分不规则CH4+2O2为例,结合附图和实例对本发明做进一步说明:In order to show that the detonation instability calculation method is universally applicable to all kinds of cigarette film trajectories, the following takes CH 4 +2O 2 which is not easy to ignite but is sensitive and has very irregular trajectories as an example, and further explains the present invention in conjunction with the accompanying drawings and examples:
该爆轰实验使用内径50.8mm的起爆管。前段引爆管的长度1m左右,后端实验部分采用两根单长2m透明的高强度塑料管的第一管体和第二管体,为便于采集数据并考虑稳固性,塑料管由两部分构成,中间靠法兰内部的橡胶圈达到密封效果。用十分灵敏的小体积C2H2+O2(采用化学计量配比)填充在金属引爆管内,用于促进在试验部分中的爆轰开始,在短距离内引爆后部分不太易于起爆的CH4+2O2预混气。利用等容条件计算所需要使用的C2H2+O2预混气及CH4+2O2预混气分压,来获得精准的实验压力。The detonation experiment used a detonator with an inner diameter of 50.8 mm. The length of the front detonation tube is about 1m, and the back-end experiment part adopts the first tube body and the second tube body of two single-length 2m transparent high-strength plastic tubes. In order to facilitate data collection and consider stability, the plastic tube is composed of two parts , the middle is sealed by the rubber ring inside the flange. A very sensitive small volume of C 2 H 2 +O 2 (stoichiometric ratio) is used to fill the metal detonator to promote the initiation of detonation in the test part, and the part that is not easy to detonate after detonation in a short distance CH 4 +2O 2 premixed gas. Calculate the partial pressure of C 2 H 2 +O 2 premixed gas and CH 4 +2O 2 premixed gas to obtain accurate experimental pressure by using isovolumic conditions.
打开封头法兰,擦拭干净管子内壁,在实验段管子的后端放入1m长已经均匀熏制的膜片,称为烟膜,即使使用了C2H2+O2来引爆,CH4+2O2预混气的极限引爆(爆轰)压力也在5kPa左右,因此需要使用厚度在0.04mm以上的烟膜。装好封头法兰。在实验段管子外壁固定装有光纤,当爆轰面传播到某处时,因为爆轰面的物质仍在进行化学反应,会有光的产生,被光纤感知后信号传输到数据盒,得到爆轰面传播到的时间,进而与光纤间的距离通过公式计算出爆轰速度。所有的爆炸性混合物都已预先在高压瓶由分压的方法制备,通过控制面板将不同气体分别安全输入到预混气高压瓶中,充罐后预混气放置24h以上后才能开始使用,以确保罐内不同气体均匀混合。起爆后,将管内抽真空然后缓慢放入大气,以保证不要在烟膜上形成冲刷痕迹。打开封头法兰,取出烟膜后均匀喷透明的保护漆,后进行扫描。Open the head flange, wipe the inner wall of the pipe clean, put a 1m-long evenly smoked diaphragm at the rear end of the pipe in the experimental section, called a smoke film, even if C 2 H 2 +O 2 is used to detonate, CH 4 + The ultimate detonation (detonation) pressure of 2O 2 premixed gas is also about 5kPa, so it is necessary to use a smoke film with a thickness of more than 0.04mm. Install the head flange. The outer wall of the tube in the experimental section is fixed with an optical fiber. When the detonation surface propagates to a certain place, because the material on the detonation surface is still undergoing chemical reactions, light will be generated. After being sensed by the optical fiber, the signal is transmitted to the data box, and the detonation surface is obtained. The detonation velocity is calculated by the formula for the propagation time of the bombardment surface and the distance from the optical fiber. All explosive mixtures have been pre-prepared in the high-pressure bottle by the method of partial pressure, and different gases are safely input into the pre-mixed high-pressure bottle through the control panel. After filling the tank, the pre-mixed gas can be used after more than 24 hours to ensure The different gases in the tank are evenly mixed. After detonation, the tube is evacuated and slowly released to atmosphere to ensure that no scour marks are formed on the smoke film. Open the flange of the head, take out the smoke film and evenly spray transparent protective paint, and then scan.
由于烟膜轨迹中描画中画笔粗度大于1像素而导致像素连续,在离散化时会出现连续的‘1’,优化时,可以将离散函数中的相连的‘1’进行优化。改进后的CH4+2O2预混气初始压力为7.25kPa烟膜左旋轨迹偏颇自相关计算结果见图4,改进后CH4+2O2预混气初始压力为7.25kPa烟膜左旋轨迹无偏颇自相关计算结果图5,自相关结果可得到明显改变,改进后的结果更清晰的表现出峰值。Because the thickness of the brush in the drawing of the smoke film trajectory is greater than 1 pixel, the pixels are continuous, and there will be continuous '1' during discretization. When optimizing, the connected '1' in the discrete function can be optimized. The initial pressure of the improved CH 4 +2O 2 premixed gas is 7.25kPa. The left-handed trajectory of the smoke film is biased. The autocorrelation calculation results are shown in Figure 4. The initial pressure of the improved CH 4 +2O 2 premixed gas is 7.25kPa. Autocorrelation calculation results are shown in Figure 5. The autocorrelation results can be significantly changed, and the improved results show the peak more clearly.
根据以下公式计算自相关函数φxx(m),公式如下:Calculate the autocorrelation function φ xx (m) according to the following formula, which is as follows:
(式1) (Formula 1)
式中,是和y的互相关函数,M为个单元个数;y(n)是x(n)的零填充序列平移函数,n是所有垂直线得到离散点的数量,m为平移值,x是离散点的值;In the formula, yes and y The cross-correlation function, M is the number of units; y(n) is the zero-fill sequence translation function of x(n), n is the number of discrete points obtained by all vertical lines, m is the translation value, and x is the value of discrete points ;
显然,第一个最高峰值所占比例越高,说明数据越集中,即轨迹线越规则,预混气爆轰越稳定。因此该烟膜轨迹的自相关函数结果的第一个最高峰值对应的纵坐标值即为该峰值所占总数据的比例Φ1st max=2.7×10-4,该数值是很小的。第一个最高峰值高出其它峰值的倍数Φ1st max/Φ2ed max=1.42,该比例也是很小的。Obviously, the higher the proportion of the first highest peak, the more concentrated the data, that is, the more regular the trajectory, the more stable the detonation of the premixed gas. Therefore, the ordinate value corresponding to the first highest peak of the autocorrelation function result of the smoke film trajectory is the proportion of the peak to the total data Φ 1st max =2.7×10 -4 , which is very small. The first highest peak is higher than other peaks by a multiple of Φ 1st max /Φ 2ed max =1.42, which is also very small.
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