CN114676654A - Method for synthesizing influence factors of filter tip ventilation rate fluctuation - Google Patents

Method for synthesizing influence factors of filter tip ventilation rate fluctuation Download PDF

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CN114676654A
CN114676654A CN202210368587.6A CN202210368587A CN114676654A CN 114676654 A CN114676654 A CN 114676654A CN 202210368587 A CN202210368587 A CN 202210368587A CN 114676654 A CN114676654 A CN 114676654A
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cigarette
ventilation rate
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paper
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李超
李娥贤
范多青
孙浩巍
魏玉玲
田丽梅
赵辉
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China Tobacco Yunnan Industrial Co Ltd
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Abstract

The invention discloses a method for synthesizing influence factors of filter tip ventilation rate fluctuation, which comprises the following steps: calculating the air resistance of each section of the cigarette to obtain an air resistance structure; determining the forming mode of the air flow in the cigarettes according to the air resistance structure; and obtaining a filter tip ventilation rate influence factor synthesis result according to the forming mode of the air flow inside the cigarettes. The filter tip ventilation rate fluctuation influence factor synthesis method provided by the invention carries out modeling analysis from a theoretical angle formed by the ventilation rate to obtain an error synthesis method of the influence factor, verifies the synthesis error by using experimental data, establishes a set of practical error synthesis model, carries out error synthesis on the influence of cigarette parameters on filter tip ventilation rate fluctuation, is used for analyzing the influence of the parameters and provides a theoretical basis for the stability control of the filter tip ventilation rate.

Description

Method for synthesizing influence factors of filter tip ventilation rate fluctuation
Technical Field
The invention relates to the technical field of cigarette smoke control, in particular to a method for synthesizing influence factors of filter tip ventilation rate fluctuation.
Background
The control of the ventilation rate of the filter tip is an important index influencing the quality of cigarettes, and the indexes influencing the ventilation rate of the filter tip are numerous, so that when cigarette products of the same brand, different materials, formulas and specifications are produced on cigarette making machines of different models, the instability of the ventilation rate index of the filter tip can bring about the fluctuation of smoke, and finally the stability of the quality of the cigarette products is influenced. At present, no systematic filter ventilation rate fluctuation influence factor synthesis method exists.
Therefore, a method for synthesizing the influence factors of the ventilation rate fluctuation of the filter is needed.
Disclosure of Invention
The invention aims to provide a filter tip ventilation rate fluctuation influence factor synthesis method, which is used for solving the problems in the prior art, and can establish a set of practical error synthesis model to carry out error synthesis on the influence of cigarette parameters on filter tip ventilation rate fluctuation.
The invention provides a method for synthesizing influence factors of filter tip ventilation rate fluctuation, which comprises the following steps:
calculating the air resistance of each section of the cigarette to obtain an air resistance structure;
determining the forming mode of the air flow in the cigarettes according to the air resistance structure;
and obtaining a filter tip ventilation rate influence factor synthesis result according to the forming mode of the air flow inside the cigarettes.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation preferably calculates the air resistance of each section of the cigarette to obtain the air resistance structure, and specifically comprises the following steps:
assuming that the cigarette tobacco section and the filter section are both homogeneous and isotropic in nature, both satisfy one-dimensional darcy's law, i.e., the airflow rate through the respective sections is proportional to the pressure differential, inversely proportional to the cross-sectional area, and inversely proportional to the length, and R is the air resistance value of each section of the cigarette, expressed as:
Figure BDA0003582777220000021
p represents the pressure drop of each part in the cigarette, and q represents the cross-sectional area of the cigarette;
the air resistance value of each part of the tobacco section is expressed by the following formula:
Figure BDA0003582777220000022
in the formula ItobaccoDenotes the length of the tobacco strand in m, μ denotes the air viscosity in Pa.s, kcExpressing the permeability of the cut tobacco section of the cigarette with the unit of m2And R represents the cigarette radius in m, RtobaccoRepresenting the air resistance value of the tobacco section;
Figure BDA0003582777220000023
Figure BDA0003582777220000024
in the formula I1Indicating the length of the preceding segment of tobacco2The length of the rear section of the tobacco shred is expressed in m, R1Representing the air resistance value, R, of the preceding segment of tobacco3The gas resistance value of the rear section of the tobacco shred is represented;
the air resistance value of the filter stick section is expressed by the following formula:
Figure BDA0003582777220000025
Figure BDA0003582777220000026
Figure BDA0003582777220000027
in the formula IfilterThe length of the cigarette filter stick is expressed in m, l3The length of the front section of the filter is expressed in m, l4The length of the rear section of the filter is expressed in m, kfExpressing the permeability coefficient of the cigarette filter tip in m2，R4Indicating the air resistance value, R, of the front section of the filter5The air resistance value of the rear section of the filter tip is represented;
the air resistance value of the cigarette paper is expressed by the following formula:
Figure BDA0003582777220000028
in the formula IpaperDenotes the length of the wrapper, in m, alpha denotes the air permeability of the wrapper, in CU, RpaperAnd R2The air resistance value of the cigarette paper is represented;
the air resistance value of the tipping paper is expressed by the following formula:
Figure BDA0003582777220000031
in the formula: n is the number of the vent holes, AwarpIs the unit area of the vent hole, and is m2Beta is the air permeability of tipping paper and the unit is CU, RwarpAnd R6Indicating the air resistance value of the tipping paper.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation preferably determines the composition mode of the air flow in the cigarette according to the air resistance structure, and specifically comprises the following steps:
determining the air resistance of the cigarette to be related to the air permeability of cigarette paper, the permeability of tobacco shreds, the permeability of a filter tip and the air permeability of tipping paper according to the air resistance structure of each section of the cigarette;
according to the air flow composition mode, the air permeability of the cigarette paper is determined to be in parallel connection with the front section of the tobacco shreds, the rear section of the tobacco shreds is determined to be in series connection with the front section of the filter stick, and the tipping paper and the forming paper are in a relation of being overlapped first and then connected in series and are unrelated to the rear section of the filter stick.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation, wherein preferably, the synthesizing result of the influence factors of the filter ventilation rate is obtained according to the composition mode of the air flow in the cigarette, and specifically comprises the following steps:
according to the measurement principle of the fluctuation condition of each airflow section of the cigarettes, the fluctuation of each airflow section of the cigarettes is described by using the variation coefficient of the air permeability of the cigarette paper, the variation coefficient of the filling density of the cut tobacco, the variation coefficient of the suction resistance of the filter stick, the variation coefficient of the forming paper and the variation coefficient of the air permeability of the tipping paper;
and combining the fluctuations according to the forming mode of the air flow inside the cigarettes to obtain a synthetic expression of the influence factors of the filter tip ventilation rate fluctuations:
Figure BDA0003582777220000032
in the formula, CVtobaccoThe density variation coefficient of the tobacco shred segments is expressed in unit; CV ofpaperThe coefficient of variation of the air permeability of the cigarette paper is expressed in units; CV offilterThe coefficient of variation of the suction resistance of the filter stick is shown, and the unit is percent; CV ofwarpRepresents the coefficient of variation in air permeability of the formed paper in%, CVtippingThe coefficient of variation of the air permeability of the tipping paper is expressed in%.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation as described above, wherein preferably, the method for synthesizing the influence factors of the filter ventilation rate fluctuation further comprises:
and verifying the prediction precision of the synthetic expression by using the measured data.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation preferably verifies the prediction accuracy of the synthetic expression by using the actually measured data, and specifically comprises the following steps:
carrying out small-batch experimental verification by using the detection data of small-batch samples;
verifying mass data by using detection data of actual production;
the correlation between the ventilation rate of the filter and the difference between the closed and open draw resistance was verified by deduction.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation preferably performs small-batch experimental verification by using the detection data of small-batch samples, and specifically comprises the following steps:
preparing a batch of samples of the same auxiliary material, the same tobacco shred, the same machine type and different machines, simultaneously measuring the air permeability of cigarette paper, the air permeability of tipping paper, the air permeability of forming paper, the filter stick suction resistance and corresponding variation coefficients of the auxiliary material, selecting two groups of data with larger difference of filter tip ventilation rates as verification objects, detecting cigarette physical indexes, calculating the maximum fluctuation range of the filter tip ventilation rate of the cigarette according to a formula (10), and comparing the maximum fluctuation range with the filter tip ventilation rate extreme value in the samples to verify the accuracy of the synthetic influence factors.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation preferably performs mass data verification by using detection data of actual production, and specifically includes:
taking cigarettes of a preset brand as verification objects, and taking production detection data of a preset month as an example for verification to obtain a variation coefficient of an auxiliary material index of a product;
in the cigarette production process, the filter ventilation rate is detected for multiple times to obtain a filter ventilation rate detection result;
calculating the maximum fluctuation range of the filter tip ventilation rate possibly existing in the cigarette according to the formula (10) and the variation coefficient of the product auxiliary material index;
calculating the highest fluctuation amplitude of the ventilation rate of the cigarette filter according to the ratio of extreme values of the average value of the multiple filter ventilation rate detection results;
comparing the difference between the calculation result and the actual measurement result to obtain a relative deviation;
if the relative deviation between the predicted result and the measured value is less than the preset threshold value, the synthetic expression of the filter ventilation rate has higher prediction precision for the cigarette products produced in batches.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation preferably includes:
and deducing to obtain the correlation between the difference between the closed type suction resistance and the open type suction resistance and the ventilation rate of the filter, and contrasting the experimental result to verify the scientificity of the synthetic expression of the influencing factors of the ventilation rate of the filter.
The method for synthesizing the influence factors of the filter ventilation rate fluctuation, wherein preferably, the derivation obtains the correlation between the difference between the closed-type suction resistance and the open-type suction resistance and the filter ventilation rate, and compares the experimental results to verify the scientificity of the synthesized expression of the influence factors of the filter ventilation rate, and specifically comprises the following steps:
according to the forming mode of the air flow in the cigarette, the expression of open type suction resistance can be obtained:
Figure BDA0003582777220000051
similarly, the expression for closed suction resistance is:
Figure BDA0003582777220000052
the expression for the filter ventilation rate is:
Figure BDA0003582777220000053
simplified by equation (13):
Figure BDA0003582777220000054
meanwhile, the expression of the difference between the closed suction resistance and the open suction resistance can be obtained by subtracting the formula (12) from the formula (11):
Figure BDA0003582777220000055
substituting equation (14) into equation (13) can be collated as:
Figure BDA0003582777220000056
Figure BDA0003582777220000057
as can be known from the formula (16), the difference between the closed type suction resistance and the open type suction resistance of the cigarette and the ventilation rate of the filter are in linear correlation relationship, the physical parameter state of the front section of the ventilation area of the filter determines the change of the ventilation rate of the filter, and the proportionality coefficient is related to the suction resistance properties of the cut tobacco section of the cigarette, the cigarette paper and the front section of the filter.
The invention provides a filter tip ventilation rate fluctuation influence factor synthesis method, which is characterized in that modeling analysis is carried out from a theoretical angle formed by the ventilation rate to obtain an error synthesis method of the influence factor, experimental data is used for verifying the synthesis error to establish a set of practical error synthesis model, error synthesis is carried out on the influence of cigarette parameters on filter tip ventilation rate fluctuation, the error synthesis model is used for analyzing the influence of the parameters, and a theoretical basis is provided for the stability control of the filter tip ventilation rate.
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In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be further described with reference to the accompanying drawings, in which:
FIG. 1 is a flow chart of an embodiment of a filter ventilation rate fluctuation influence factor synthesis method provided by the present invention;
FIG. 2 is a schematic view of one-dimensional airflow inside a cigarette;
FIG. 3 is a schematic view of the combination of one-dimensional air flows inside a cigarette.
Detailed Description
Various exemplary embodiments of the present disclosure will now be described in detail with reference to the accompanying drawings. The description of the exemplary embodiments is merely illustrative and is in no way intended to limit the disclosure, its application, or uses. The present disclosure may be embodied in many different forms and is not limited to the embodiments described herein. These embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those skilled in the art. It should be noted that: the relative arrangement of parts and steps, the composition of materials, numerical expressions and numerical values set forth in these embodiments are to be construed as merely illustrative, and not as limitative, unless specifically stated otherwise.
As used in this disclosure, "first", "second": and the like, do not denote any order, quantity, or importance, but rather are used to distinguish one element from another. The word "comprising" or "comprises", and the like, means that the element preceding the word covers the element listed after the word, and does not exclude the possibility that other elements are also covered. "upper", "lower", and the like are used merely to indicate relative positional relationships, and when the absolute position of the object being described is changed, the relative positional relationships may also be changed accordingly.
In the present disclosure, when a specific component is described as being located between a first component and a second component, there may or may not be intervening components between the specific component and the first component or the second component. When it is described that a specific component is connected to other components, the specific component may be directly connected to the other components without having an intervening component, or may be directly connected to the other components without having an intervening component.
All terms (including technical or scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs unless specifically defined otherwise. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
Techniques, methods, and apparatus known to those of ordinary skill in the relevant art may not be discussed in detail, but are intended to be part of the specification where appropriate.
As shown in fig. 1, the method for synthesizing the influence factors of the filter ventilation rate fluctuation provided by the embodiment specifically includes, in an actual implementation process:
and step S1, calculating the air resistance of each section of the cigarette to obtain an air resistance structure.
As shown in figure 2, the cigarette can be divided into tobacco shred sections R according to the division of the cigarette airflow flowing structure1Tobacco shred rear section R3Cigarette paper R2Front segment R of filter tip4Filter tip rear section R5And filter ventilation zone R6And six parts. In an embodiment of the filter ventilation rate fluctuation influence factor synthesis method of the present invention, the step S1 may specifically include:
step S11, assuming that the cigarette tobacco section and the filter section are both homogeneous and isotropic in material properties, both satisfy one-dimensional darcy' S law, i.e., the airflow rate through the corresponding portion is proportional to the pressure difference, inversely proportional to the cross-sectional area, and inversely proportional to the length, and defined as R, the airflow resistance value of each portion of the cigarette, expressed as:
Figure BDA0003582777220000071
p represents the pressure drop of each part in the cigarette, and q represents the cross-sectional area of the cigarette;
step S12, the air resistance value of each part of the tobacco shred segment is expressed by the following formula:
Figure BDA0003582777220000072
in the formula ItobaccoDenotes the length of the tobacco strand in m, μ denotes the air viscosity in Pa.s, kcExpressing the permeability of the cut tobacco section of the cigarette with the unit of m2And R represents the cigarette radius in m, RtobaccoRepresenting the air resistance value of the tobacco section;
Figure BDA0003582777220000081
Figure BDA0003582777220000082
in the formula I1Indicating the length of the preceding segment of tobacco2The length of the rear section of the tobacco shred is expressed in m, R1Representing the air resistance value, R, of the preceding segment of tobacco3The gas resistance value of the rear section of the tobacco shred is represented;
step S13, the air resistance value of the filter stick segment is expressed by the following formula:
Figure BDA0003582777220000083
Figure BDA0003582777220000084
Figure BDA0003582777220000085
in the formula IfilterThe length of the cigarette filter stick is expressed in m, l3The length of the front section of the filter is expressed in m, l4The length of the rear section of the filter is expressed in m, kfExpressing the permeability coefficient of the cigarette filter tip in m2，R4Representing the air resistance value, R, of the front section of the filter5Representing the air resistance value of the rear section of the filter tip;
step S14, the air resistance value of the cigarette paper is expressed by the following formula:
Figure BDA0003582777220000086
in the formula IpaperPresentation volumeThe length of cigarette paper is m, alpha represents the air permeability of cigarette paper and is CU and RpaperAnd R2The air resistance value of the cigarette paper is represented;
step S15, the air resistance value of the tipping paper is expressed by the following formula:
Figure BDA0003582777220000087
in the formula: n is the number of the vent holes, AwarpIs the unit area of the vent hole, and is m2Beta is the air permeability of tipping paper and the unit is CU, RwarpAnd R6Indicating the air resistance value of the tipping paper.
And step S2, determining the forming mode of the air flow in the cigarettes according to the air resistance structure.
In an embodiment of the filter ventilation rate fluctuation influence factor synthesis method of the present invention, the step S2 may specifically include:
and step S21, determining the air resistance of the cigarette to be related to the air permeability of the cigarette paper, the air permeability of the tobacco shred, the air permeability of the filter tip and the air permeability of the tipping paper according to the air resistance structure of each section of the cigarette.
Specifically, the structure of each section of the cigarette is further given in the air resistance structure of the formulas (1) to (9), and the air resistance is related to the air permeability of cigarette paper, the air permeability of tobacco shreds, the air permeability of filter tips and the air permeability of tipping paper according to the structure of each section of the air resistance.
And step S22, determining the air permeability of the cigarette paper and the front section of the tobacco shreds in parallel connection, the rear section of the tobacco shreds and the front section of the filter stick in series connection according to the air flow composition mode, and enabling the tipping paper and the forming paper to be in a relation of overlapping first and then connecting in series and to be irrelevant to the rear section of the filter stick.
According to the air flow composition, the composition of the air flow inside the cigarette can be obtained, as shown in fig. 3. As can be seen from FIG. 3, when the air flow flows in the cigarette, the parallel connection and series connection relationship exists, which means that the fluctuation of the ventilation rate of the filter tip is influenced by the air permeability of the cigarette paper, the tobacco section, the filter stick, the cigarette paper and the tipping paper at the same time, the air permeability of the cigarette paper and the front section of the tobacco are in parallel connection, the rear section of the tobacco and the front section of the filter stick are in series connection, and the tipping paper and the forming paper are in the relation of first superposition and then series connection and are irrelevant to the rear section of the filter stick.
And S3, obtaining a synthetic result of the influence factors of the filter tip ventilation rate according to the forming mode of the air flow inside the cigarettes.
In an embodiment of the filter ventilation rate fluctuation influence factor synthesis method of the present invention, the step S3 may specifically include:
and step S31, according to the measurement principle of the fluctuation condition of each airflow section of the cigarettes, describing the fluctuation of each airflow section of the cigarettes by using the variation coefficient of the air permeability of the cigarette paper, the variation coefficient of the filling density of the tobacco shreds, the variation coefficient of the suction resistance of the filter stick, the variation coefficient of the forming paper and the variation coefficient of the air permeability of the tipping paper.
Step S32, combining the fluctuations according to the forming mode of the air flow inside the cigarettes to obtain a synthetic expression of the influence factors of the filter ventilation rate fluctuations:
Figure BDA0003582777220000091
in the formula, CVtobaccoThe density variation coefficient of the tobacco shred segments is expressed in unit; CV ofpaperThe coefficient of variation of the air permeability of the cigarette paper is expressed in units; CV offilterThe coefficient of variation of the suction resistance of the filter stick is shown, and the unit is percent; CV ofwarpRepresents the coefficient of variation in air permeability of the formed paper in%, CVtippingThe coefficient of variation of the air permeability of the tipping paper is expressed in%.
For the influence factors of the filter ventilation rate fluctuation, the filter ventilation rate fluctuation is finally caused by the change of each air flow section, the invention describes the fluctuation of each parameter by using the variation coefficient of air permeability of cigarette paper, the variation coefficient of filling density of tobacco, the variation coefficient of suction resistance of filter rods, the variation coefficient of forming paper and the variation coefficient of air permeability of tipping paper according to the measurement principle of each parameter, and the fluctuation is combined according to the air flow combination mode shown in figure 3, so that the synthetic expression (namely, the formula (10)) of the influence factors of the filter ventilation rate fluctuation can be obtained.
Further, in some embodiments of the present invention, the method for synthesizing the influence factor of the filter ventilation rate fluctuation further comprises:
step S4 is to verify the prediction accuracy of the synthetic expression using the measured data.
In an embodiment of the filter ventilation rate fluctuation influence factor synthesis method of the present invention, the step S4 may specifically include:
and step S41, carrying out small batch experimental verification by using the detection data of the small batch samples.
Specifically, a batch of samples of the same auxiliary material, the same tobacco shred, the same machine type and different machine tables are prepared, meanwhile, the air permeability of cigarette paper, the air permeability of tipping paper, the air permeability of forming paper, the filter stick suction resistance and corresponding variation coefficients of the filter stick air permeability of the auxiliary material are measured, two groups of data with larger filter tip ventilation rate difference are selected from the samples to serve as verification objects, cigarette physical indexes are detected, the maximum fluctuation range of the filter tip ventilation rate of the cigarette possibly existing is calculated according to a formula (10), and the maximum fluctuation range is compared with the filter tip ventilation rate extreme value in the samples to verify the accuracy of the synthetic influence factors. The coefficient of variation and the ventilation rate extremes for each parameter are shown in table 1:
TABLE 5-1 extreme values of coefficient of variation and ventilation for Yuxi (Soft) parameters
CVtobacco CVpaper CVfilter CVwarp CVtipping MAX MIN
2.5 5.0 2.1 5.0 3.2 17.89 14.59
Calculated according to equation (10), we get:
Figure BDA0003582777220000101
the values represent the highest possible fluctuation range of 22.27% for the ventilation of the cigarette filter in the presence of fluctuations in the batch of auxiliary material and cut filler.
And (3) comparing and detecting the ratio of the extreme values of the average value of the ventilation rate detection results of the batch of the filter tips, and calculating the highest fluctuation amplitude of the ventilation rate of the batch of the filter tips to obtain:
Figure BDA0003582777220000102
comparing the difference between the calculated result and the measured result, wherein the relative deviation is as follows:
Figure BDA0003582777220000103
as can be seen from the results, the relative deviation between the predicted result and the measured value is only-1.55%, which indicates that the synthesis method of the filter ventilation rate has higher prediction precision.
And step S42, verifying the mass data by using the detection data of the actual production.
In an embodiment of the filter ventilation rate fluctuation influence factor synthesis method of the present invention, the step S42 may specifically include:
and S421, taking the cigarette with the preset brand as a verification object, taking the production detection data of the preset month as an example for verification, and obtaining the variation coefficient of the product auxiliary material index.
And S422, in the cigarette production process, detecting the ventilation rate of the filter for multiple times to obtain a filter ventilation rate detection result.
And step S423, calculating the maximum fluctuation range of the filter tip ventilation rate of the cigarette according to the formula (10) and the variation coefficient of the product auxiliary material index.
And step S424, calculating the highest fluctuation range of the ventilation rate of the cigarette filter according to the ratio of the extreme values of the average value of the multiple times of filter ventilation rate detection results.
And step S425, comparing the difference between the calculation result and the actual measurement result to obtain a relative deviation.
And step S426, if the relative deviation between the prediction result and the measured value is smaller than a preset threshold value, the synthetic expression of the filter tip ventilation rate has higher prediction precision for the cigarette products produced in batches.
The invention takes a certain brand of cigarettes produced by a certain cigarette factory as an authentication object, and takes the production detection data of 3 months in 2018 as an example for authentication. The index variation coefficient of the auxiliary materials of the batch of products is shown in table 2:
TABLE 2 coefficient of variation of cigarette parameters
CVtobacco CVpaper CVfilter CVwarp CVtipping
2.5 5.0 2.3 3.0 2.5
The batch of products were tested for 7 times in total during the production process, and the test results are shown in table 3:
TABLE 3 test results of ventilation rate of cigarette filter
Figure BDA0003582777220000111
Figure BDA0003582777220000121
Calculated according to equation (38), we get:
Figure BDA0003582777220000122
the values represent the highest possible fluctuation range of 13.88% in the ventilation of the cigarette filter in the presence of fluctuations in the batch of auxiliary material and cut filler.
And (3) comparing and detecting the ratio of the extreme values of the average value of the ventilation rate detection results of the batch of the filter tips, and calculating the highest fluctuation amplitude of the ventilation rate of the batch of the filter tips to obtain:
Figure BDA0003582777220000123
comparing the difference between the calculated result and the measured result, wherein the relative deviation is as follows:
Figure BDA0003582777220000124
as can be seen from the results, the relative deviation between the predicted result and the measured value is only 1.86%, which shows that the synthesis method of the filter ventilation rate has higher prediction precision for the cigarette products produced in batches.
And step S43, carrying out derivation verification on the correlation between the ventilation rate of the filter and the difference between the closed type suction resistance and the open type suction resistance.
Studies have shown that there is a very significant linear correlation (R) between the difference between the closed and open draw resistance of a cigarette and the ventilation rate of a cigarette filter2>90%), which is the only variable obviously related to the ventilation rate of the filter tip in the correlation analysis of the physical indexes, and the difference between the closed type suction resistance and the open type suction resistance represents the physical state of the cut tobacco or the cigarette paper of the front section of the filter tip and the filter stick; meanwhile, the invention establishes the relationship between the air resistance value of each section of the cigarette and the physical parameters of the cigarette through the formulas (1) to (9), obtains the correlation between the difference between closed type suction resistance and open type suction resistance and the ventilation rate of the filter tip through deduction, and verifies the scientificity of the synthetic expression of the influence factors of the ventilation rate of the filter tip by contrasting the experimental result. In an embodiment of the method for synthesizing the influence factors of the filter ventilation rate fluctuation of the present invention, the step S43 may specifically include:
step S431, obtaining an expression of open type suction resistance according to the forming mode of the air flow in the cigarettes:
Figure BDA0003582777220000125
similarly, the expression for closed suction resistance is:
Figure BDA0003582777220000131
the expression for the filter ventilation rate is:
Figure BDA0003582777220000132
simplified by equation (13):
Figure BDA0003582777220000133
step S432, subtracting the formula (12) from the formula (11), to obtain an expression of the difference between the closed suction resistance and the open suction resistance:
Figure BDA0003582777220000134
substituting equation (14) into equation (13) can be collated as:
Figure BDA0003582777220000135
as can be known from the formula (16), the difference between the closed type suction resistance and the open type suction resistance of the cigarette and the ventilation rate of the filter are in linear correlation relationship, the physical parameter state of the front section of the ventilation area of the filter determines the change of the ventilation rate of the filter, and the proportionality coefficient is related to the suction resistance properties of the cut tobacco section of the cigarette, the cigarette paper and the front section of the filter. Consistent with the existing research results, the scientificity of the synthetic expression of the influence factors of the filter ventilation rate is indirectly proved.
According to the filter tip ventilation rate fluctuation influence factor synthesis method provided by the embodiment of the invention, modeling analysis is carried out from a theoretical angle formed by the ventilation rate to obtain an error synthesis method of the influence factor, and then experimental data is used for verifying the synthesis error to establish a set of practical error synthesis model, so that error synthesis is carried out on the influence of cigarette parameters on filter tip ventilation rate fluctuation, the influence of the parameters is analyzed, and a theoretical basis is provided for the stability control of the filter tip ventilation rate.
Thus, various embodiments of the present disclosure have been described in detail. Some details that are well known in the art have not been described in order to avoid obscuring the concepts of the present disclosure. It will be fully apparent to those skilled in the art from the foregoing description how to practice the presently disclosed embodiments.
Although some specific embodiments of the present disclosure have been described in detail by way of example, it should be understood by those skilled in the art that the foregoing examples are for purposes of illustration only and are not intended to limit the scope of the present disclosure. It will be understood by those skilled in the art that various changes may be made in the above embodiments or equivalents may be substituted for elements thereof without departing from the scope and spirit of the present disclosure. The scope of the present disclosure is defined by the appended claims.

Claims (10)

1. A method for synthesizing influence factors of filter tip ventilation rate fluctuation is characterized by comprising the following steps:
calculating the air resistance of each section of the cigarette to obtain an air resistance structure;
determining the forming mode of the air flow in the cigarettes according to the air resistance structure;
and obtaining a filter tip ventilation rate influence factor synthesis result according to the forming mode of the air flow inside the cigarettes.
2. The filter tip ventilation rate fluctuation influence factor synthesis method according to claim 1, wherein the air resistance of each section of the cigarette is calculated to obtain an air resistance structure, and the method specifically comprises the following steps:
assuming that the cigarette tobacco section and the filter section are both homogeneous and isotropic in nature, both satisfy one-dimensional darcy's law, i.e., the airflow rate through the respective sections is proportional to the pressure differential, inversely proportional to the cross-sectional area, and inversely proportional to the length, and R is the air resistance value of each section of the cigarette, expressed as:
Figure FDA0003582777210000011
p represents the pressure drop of each part in the cigarette, and q represents the cross-sectional area of the cigarette;
the air resistance value of each part of the tobacco section is expressed by the following formula:
Figure FDA0003582777210000012
in the formula ItobaccoDenotes the length of the tobacco strand in m, μ denotes the air viscosity in Pa.s, kcExpressing the permeability of the cut tobacco section of the cigarette with the unit of m2And R represents the cigarette radius in m, RtobaccoRepresenting the air resistance value of the tobacco section;
Figure FDA0003582777210000013
Figure FDA0003582777210000014
in the formula I1Indicating the length of the preceding segment of tobacco2The length of the rear section of the tobacco shred is expressed in m, R1Representing the air resistance value, R, of the preceding segment of tobacco3The gas resistance value of the rear section of the tobacco shred is represented;
the air resistance value of the filter rod section is expressed by the following formula:
Figure FDA0003582777210000015
Figure FDA0003582777210000016
Figure FDA0003582777210000021
in the formula IfilterThe length of the cigarette filter stick is expressed in m, l3Length of front segment of filter tipThe position is m, l4The length of the rear section of the filter is expressed in m, kfExpressing the permeability coefficient of the cigarette filter tip in m2，R4Representing the air resistance value, R, of the front section of the filter5Representing the air resistance value of the rear section of the filter tip;
the air resistance value of the cigarette paper is expressed by the following formula:
Figure FDA0003582777210000022
in the formula IpaperDenotes the length of the wrapper, in m, alpha denotes the air permeability of the wrapper, in CU, RpaperAnd R2The air resistance value of the cigarette paper is represented;
the air resistance value of the tipping paper is expressed by the following formula:
Figure FDA0003582777210000023
in the formula: n is the number of the vent holes, AwarpIs the unit area of the vent hole, and is m2Beta is the air permeability of tipping paper and the unit is CU, RwarpAnd R6Indicating the air resistance value of the tipping paper.
3. The filter tip ventilation rate fluctuation influence factor synthesis method according to claim 2, wherein the determining of the composition mode of the air flow inside the cigarette according to the air resistance structure specifically comprises:
determining the air resistance of the cigarette to be related to the air permeability of cigarette paper, the permeability of tobacco shreds, the permeability of a filter tip and the air permeability of tipping paper according to the air resistance structure of each section of the cigarette;
according to the air flow composition mode, the air permeability of the cigarette paper is determined to be in parallel connection with the front section of the tobacco shreds, the rear section of the tobacco shreds is determined to be in series connection with the front section of the filter stick, and the tipping paper and the forming paper are in a relation of being overlapped first and then connected in series and are unrelated to the rear section of the filter stick.
4. The filter tip ventilation rate fluctuation influence factor synthesis method according to claim 3, wherein the synthesis result of the filter tip ventilation rate influence factors is obtained according to the composition mode of the cigarette internal airflow, and specifically comprises the following steps:
according to the measurement principle of the fluctuation condition of each airflow section of the cigarettes, the fluctuation of each airflow section of the cigarettes is described by using the variation coefficient of the air permeability of the cigarette paper, the variation coefficient of the filling density of the cut tobacco, the variation coefficient of the suction resistance of the filter stick, the variation coefficient of the forming paper and the variation coefficient of the air permeability of the tipping paper;
and combining the fluctuations according to the forming mode of the air flow inside the cigarettes to obtain a synthetic expression of the influence factors of the filter tip ventilation rate fluctuations:
Figure FDA0003582777210000031
in the formula, CVtobaccoThe density variation coefficient of the tobacco shred segments is expressed in unit; CV ofpaperThe coefficient of variation of the air permeability of the cigarette paper is expressed in units; CV is a function offilterThe coefficient of variation of the suction resistance of the filter stick is shown, and the unit is percent; CV ofwarpRepresents the coefficient of variation in air permeability of the formed paper in%, CVtippingThe coefficient of variation of the air permeability of the tipping paper is expressed in%.
5. The filter ventilation rate fluctuation influence factor synthesis method according to claim 4, characterized by further comprising:
and verifying the prediction precision of the synthetic expression by using the measured data.
6. The filter tip ventilation rate fluctuation influence factor synthesis method according to claim 5, wherein the verification of the prediction accuracy of the synthesis expression by using the measured data specifically comprises:
carrying out small-batch experimental verification by using the detection data of small-batch samples;
verifying mass data by using detection data of actual production;
the correlation between the filter ventilation rate and the difference between the closed and open draw resistance was verified by deduction.
7. The filter tip ventilation rate fluctuation influence factor synthesis method according to claim 6, wherein the small-batch experimental verification is performed by using the detection data of small-batch samples, and specifically comprises the following steps:
preparing a batch of samples of the same auxiliary material, the same tobacco shred, the same machine type and different machines, simultaneously measuring the air permeability of cigarette paper, the air permeability of tipping paper, the air permeability of forming paper, the filter stick suction resistance and corresponding variation coefficients of the auxiliary material, selecting two groups of data with larger difference of filter tip ventilation rates as verification objects, detecting cigarette physical indexes, calculating the maximum fluctuation range of the filter tip ventilation rate of the cigarette according to a formula (10), and comparing the maximum fluctuation range with the filter tip ventilation rate extreme value in the samples to verify the accuracy of the synthetic influence factors.
8. The filter tip ventilation rate fluctuation influence factor synthesis method according to claim 6, wherein the mass data verification is performed by using detection data of actual production, and specifically comprises the following steps:
taking cigarettes of a preset brand as verification objects, and taking production detection data of a preset month as an example for verification to obtain a variation coefficient of an auxiliary material index of a product;
in the cigarette production process, the filter ventilation rate is detected for multiple times to obtain a filter ventilation rate detection result;
calculating the maximum fluctuation range of the filter tip ventilation rate of the cigarette according to the formula (10) and the variation coefficient of the product auxiliary material index;
calculating the highest fluctuation amplitude of the ventilation rate of the cigarette filter according to the ratio of extreme values of the average value of the multiple filter ventilation rate detection results;
comparing the difference between the calculation result and the actual measurement result to obtain a relative deviation;
if the relative deviation between the predicted result and the measured value is less than the preset threshold value, the synthetic expression of the filter ventilation rate has higher prediction precision for the cigarette products produced in batches.
9. The filter ventilation rate fluctuation influence factor synthesis method according to claim 6, wherein the derivation verification of the correlation between the filter ventilation rate and the difference between closed-type and open-type draw resistances specifically comprises:
and deducing to obtain the correlation between the difference between the closed type suction resistance and the open type suction resistance and the ventilation rate of the filter, and contrasting the experimental result to verify the scientificity of the synthetic expression of the influencing factors of the ventilation rate of the filter.
10. The filter ventilation rate fluctuation influence factor synthesis method according to claim 9, wherein the derivation is performed to derive a correlation between a difference between closed-type draw resistance and open-type draw resistance and the filter ventilation rate, and the experimental results are compared to verify the scientificity of the filter ventilation rate influence factor synthesis expression, and specifically comprises:
according to the forming mode of the air flow in the cigarette, the expression of open type suction resistance can be obtained:
Figure FDA0003582777210000041
similarly, the expression for closed suction resistance is:
Figure FDA0003582777210000042
the expression of the filter ventilation rate is as follows:
Figure FDA0003582777210000043
simplified by equation (13):
Figure FDA0003582777210000044
meanwhile, the expression of the difference between the closed suction resistance and the open suction resistance can be obtained by subtracting the formula (12) from the formula (11):
Figure FDA0003582777210000051
substituting the formula (14) into the formula (13), and obtaining:
Figure FDA0003582777210000052
Figure FDA0003582777210000053
as can be known from the formula (16), the difference between the closed type suction resistance and the open type suction resistance of the cigarette and the ventilation rate of the filter are in linear correlation relationship, the physical parameter state of the front section of the ventilation area of the filter determines the change of the ventilation rate of the filter, and the proportionality coefficient is related to the suction resistance properties of the cut tobacco section of the cigarette, the cigarette paper and the front section of the filter.
CN202210368587.6A 2022-04-06 2022-04-06 Method for synthesizing influence factors of filter tip ventilation rate fluctuation Pending CN114676654A (en)

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