CN102708304A - Method for forecasting suction resistance of filter stick - Google Patents

Abstract

The invention discloses a method for forecasting suction resistance of a filter stick. According to the method, a comprehensive index of a filter stick strand, which is in positive relation with the suction resistance of the filter stick, reflects an outer surface area of the strand in the filter stick and space occupied by the strand; the value of the comprehensive index is larger, and the suction resistance is higher; the comprehensive index is obtained through a math model established by relationship among the length of the strand of the filter stick, the density of a single filament and the total density of the filaments; and the formula of the math model is defined in the specification. Compared with the prior art, the math model comprehensively reflects the comprehensive performance of the filter stick strand; due to the math model, the suction resistance of the filter stick is quantitatively forecast, so that the filter stick with proper suction resistance and the strand can be selectively produced; therefore, release of harmful substances such as tar and nicotine in cigarettes can be adjusted; and effects of reducing tar and reducing harm can be finally achieved.

Description

A kind of method of predicting filtering rod

Technical field

The present invention relates to the cigarette filter rod production technology, belong to the tobacco industry manufacture field.

Background technology

Resistance to suction is an important physical index in the cigarette product, and the variation of resistance to suction not only is related with the suction of cigarette flavor, and to the very big influence that how much has of releasing content of coke tar in cigarette.In the process of cigarette and in the original use, many factors all can cause the variation of Cigarette Draw Resistance.Under the identical situation of the factor except that filtering rod, its resistance to suction is big more, and the burst size of coke tar in cigarette, nicotine etc. is generally low more.

Many index comprehensives evaluation method is that the information of the many index of reflected appraisal things is compiled, and obtains an overall target, comes to reflect on the whole to be estimated the overall condition of things with this; Utilize certain method and model, to the reflection things not the index of ipsilateral carry out analysis-by-synthesis, things is made quantitative overall judgement on the whole, thereby discloses the essence and the rule thereof of things.See through this essence and rule, be applied in the activity in production, to obtain the product of high-quality more.

At present, what estimate the employing of tow performance is the mode of single evaluation index, and the method that perhaps outlines with several single indexs is described, and this index can not be applied directly in the production practices.The single evaluation index that is commonly used to describe filter stick fibre bundle physicochemical property has: monofilament linear density, total linear density, number of crimp, tow crimp index and tow crimping elastic recovery rate, fracture strength, cross sectional shape and degree of profile etc. radially, these evaluation indexes all to a certain extent, the performance of tow described from some aspects; But these indexs are difficult to comprehensively, synthetically describe the performance of tow, can not objectively respond the size of filtering rod, have certain one-sidedness.When filter stick design, parameter designing, can not can not guidance be provided for activity in production as the quantizating index of describing filter stick fibre bundle combination property.Therefore, need a kind of overall evaluation system that can all sidedly, synthetically describe the filter stick fibre bundle, can correctly predict the method for filtering rod size.

Summary of the invention

Given this, it is the method for measurable filtering rod size before filter stick production that the object of the invention is to provide a kind of, for the production of cigarette filter rod provides guidance, with the release of objectionable impuritiess such as adjustment coke tar in cigarette, nicotine.

For solving the problems of the technologies described above; Technical scheme provided by the invention is; A kind of method of predicting filtering rod is provided, and this method is based on an aggregative index that becomes the filter stick tow of positive correlation with filtering rod, this aggregative index reflection be in the filter stick tow external surface area and tow occupy the space; Its value is big more; Resistance to suction is big more, and the mathematical model that said aggregative index is set up by relation between tow length, monofilament linear density and the total linear density of filter stick obtains, and the formula of this mathematical model is following:

$A\×l=\frac{Z}{\sqrt{D}}\×l$ And/or $A=\frac{Z}{\sqrt{D}},$

Wherein, A is the aggregative index of filter stick tow; L is a tow length; D is a monofilament linear density; Z is a total linear density.

Further, before utilizing R type, Y type, X type or C fiber type tow to produce filter stick, use above-mentioned mathematical model that filtering rod is predicted.Before producing filter stick, to its prediction, production work is instructed, effectively improve the comprehensive utilization ratio of fibre bundle.

Said mathematical model is used to predict the monobasic filtering rod.

Said mathematical model is used to predict polynary composite filter resistance to suction.

The implementation procedure of the aggregative index A of filter stick tow:

Step 1: to R type filter stick fibre bundle, the derivation of the aggregative index A of filter stick tow is following:

Definition according to monofilament linear density (D): monofilament quality=floorage * 1000 * density=π * r that D=1000 rice is long ²* 1000 * ρ=k * r ²,

Wherein, r is the radius or the length of side, and ρ is a density, k=1000 * π * ρ,

So, $r=\frac{\sqrt{D}}{\sqrt{k}}.$

Step 2: the computing formula of pressing girth (L): $L=2\×\mathrm{\π}\×r=2\×\mathrm{\π}\×\frac{\sqrt{D}}{\sqrt{k}}=K\×\sqrt{D},$

Wherein, $K=\frac{2\×\mathrm{\π}}{\sqrt{k}}.$

Step 3: according to the definition of total linear density (Z): Z=radical * monofilament linear density=n * D,

So, $n=\frac{Z}{D},$

Wherein, n is a radical.

Step 4: (tow occupies the space to the tow external surface area; V) calculating is according to the computing formula of the lateral area (S) of cylinder:

Wherein, l is a tow length,

So, $V=n\×S=n\×L\×l=\frac{Z}{D}\×K\×\sqrt{D}\×l=K\×l\×\frac{Z}{\sqrt{D}}=K\×l\×A,$

Wherein, $A=\frac{Z}{\sqrt{D}}.$

Step 5: the mathematical model of comprehensive evaluation:

To specific R fiber type tow, the K that more than relates to is a constant, describes its characteristic with A * l,

So, set up mathematical model and be: $A\×l=\frac{Z}{\sqrt{D}}\×l.$

To the fixing filter stick of length-specific, directly its characteristic is described with A, so, set up mathematical model and be: $A=\frac{Z}{\sqrt{D}}.$

According to above-mentioned derivation method, the mathematical model that also can obtain Y type, X type and C fiber type tow aggregative index does $A=\frac{Z}{\sqrt{D}}.$

The important indicator of A and cigarette and cigarette filter rod---resistance to suction has important association, directly has influence on the release of coke tar in cigarette, nicotine etc.Resistance to suction is an important physical index in the cigarette product, and the variation of resistance to suction not only is related with the suction of cigarette flavor, and to the very big influence that how much has of releasing content of coke tar in cigarette.In the process of cigarette and in the original use, many factors all can cause the variation of Cigarette Draw Resistance.Under the identical situation of the factor except that filtering rod, its resistance to suction is big more, and the burst size of coke tar in cigarette, nicotine etc. is generally low more.Because A has described the space of occupying of tow external surface area and tow in the filter stick effectively, so can instruct and produce targetedly suitable tow and select tow production filter stick according to the design demand of cigarette.

Compared with prior art; The present invention has reflected the combination property of filter stick tow all sidedly through mathematical model; Through this mathematical model, filtering rod is made qualitative forecasting, produce the filter stick and the tow of suitable resistance to suction selectively; Thereby the effect of tar-reducing harm-reducing is finally played in the release of objectionable impuritiess such as adjustment coke tar in cigarette, nicotine.Set up mathematical model according to the invention, when producing the filter stick of suitable resistance to suction, need not to redeterminate new performance parameter, only need on the basis of original traditional performance parameter, to calculate, design.

Embodiment

Below in conjunction with embodiment, the relation of aggregative index and resistance to suction is done further to detail.What adopt in the present embodiment is Y type tow, and filter length is unified.

The aggregative index of filter stick tow is calculated in present embodiment employing

, produces design, rolls filter stick and cigarette, mensuration filtering rod and releasing content of coke tar in cigarette.

Be the aggregative index A of description tow and the relation of filtering rod; Chosen the tow in the table 1; Tow is to describe with the mode of monofilament linear density D/ total linear density Z in the table 1; These two indexs from different perspectives, promptly monofilament linear density and total linear density are described the tow performance, but when relating to parameter designing energy and taking into account simultaneously not; Thus; Adopt

to calculate its characterisitic parameter, produce then or experimental design, making filter stick and measure resistance to suction, see table 2 and table 3.

To the aggregative index of monobasic filter stick tow and the relation of filtering rod, adopt one-variable linear regression to dependent variable (y, filtering rod) and independent variable (x; The aggregative index A of tow) carries out regretional analysis, obtain regression equation, see table 4; And equation checked R ²=0.901, Ra ²=0.918, P value=0.0001<0.01 reach the utmost point level of signifiance, explain that the regression equation of being set up is effective.Can know that from the equation of table 4 the aggregative index A of resistance to suction and tow has certain positive correlation, along with the increase of A, its resistance to suction is also high more.

To the aggregative index of binary compound filter candle tow and the relation of filtering rod; Adopt multiple-factor and make item mutually and progressively return dependent variable (y; Filtering rod) carries out regretional analysis with independent variable (x1 is the aggregative index A of mouth terminal filament bundle for aggregative index A, the x2 of silk terminal filament bundle), obtain regression equation, see table 5; And equation checked R ²=0.901, Ra ²=0.918, F value=50.119, P value=0.0001<0.01 reach the utmost point level of signifiance, explain that the regression equation of being set up is effective.Each coefficient of equation is tested, see Table 6, can be known by table 6, the P value reaches conspicuousness all less than 0.05, illustrates that each coefficient is effective in the equation.The results of path analysis, as shown in table 7, x2, x1x2 have positive interaction to resistance to suction, and x1 has negative interaction to resistance to suction.

Table 1 tow monofilament linear density/total linear density and characterisitic parameter

Sequence number	Silk terminal filament bundle	Mouth terminal filament bundle	Characterisitic parameter (A)
				1	3.0/35000	3.0/35000	?20207
2	2.6/30000	2.6/30000	?18605
				3	2.8/28000	2.8/28000	?16733
4	5.0/30000	5.0/30000	?13416
				5	3.5/34000	3.5/34000	?18174
6	5.0/35000	5.0/35000	?15652

The aggregative index and the filtering rod of table 2 monobasic filter stick tow

The aggregative index of tow (A, x)	Filtering rod (y, mmH2O)
		18174	316
20207	372
		18605	362
16733	322
		15652	294
13416	203

The array mode and the resistance to suction of table 3 binary compound filter candle tow

Table 4 one-variable linear regression equation

Equation	R 2	Ra 2	The P value
				y=0.0239x-97.954	0.901	0.918	0.0001

Table 5 multiple-factor and the mutual progressively regression equation of item of doing

Equation	R 2	Ra 2	The F value	The P value
					y=0.172-0.680x1+0.464x2+1.030x1x2	0.968	0.938	56.334	0.0001

Table 6 coefficient check analysis result

Index	Partial correlation	The T test value	The p value
				r(y,x1)=	0.6963	2.7442	0.0191
r(y,x2)=	0.6286	2.2863	0.0254
				r(y,x1x2)=	0.7096	2.8485	0.0191

Table 7 path coefficient analysis result

The factor

Path coefficient

x1	-0.6532
		x2	0.4458
x1x2	0.929

In an embodiment; Aggregative index mathematical model

with description of the invention filter stick tow combination property is united other correlation parameter relevant with cigarette; Set up its regression model; And check, proved the resistance to suction positive correlation of aggregative index described in the present invention and filter stick.Simultaneously; In production reality, use new method of the present invention; Science, avoided single index or many indexs to outline incomprehensive effectively and limitation and non-energy, can't carry out the parameter designing problem,, utilized mathematical model according to the invention for the design that relates to the filter stick tow provides guidance and quantizating index with the factors combine that realizes different indexs; Produce design, can produce the monobasic or the binary compound filter candle of excellent performance.

Although above embodiment has been carried out detailed discussion to the present invention, other embodiment also is possible, therefore, and the description that should not be limited to embodiment in the disclosure to the essence and the scope of claim.

Claims (4)

1. method of predicting filtering rod; It is characterized in that this method is based on an aggregative index that becomes the filter stick tow of positive correlation with filtering rod, this aggregative index reflection be in the filter stick tow external surface area and tow occupy the space; Its value is big more; Resistance to suction is big more, and the mathematical model that said aggregative index is set up by relation between tow length, monofilament linear density and the total linear density of filter stick obtains, and the formula of this mathematical model is following:

$A\&times;l=\frac{Z}{\sqrt{D}}\&times;l$ And/or $A=\frac{Z}{\sqrt{D}},$

Wherein, A is the aggregative index of filter stick tow; L is a tow length; D is a monofilament linear density; Z is a total linear density.

2. a kind of method of predicting filtering rod according to claim 1 is characterized in that, before utilizing R type, Y type, X type or C fiber type tow to produce filter stick, uses above-mentioned mathematical model that filtering rod is predicted.

3. a kind of method of predicting filtering rod according to claim 2 is characterized in that, said mathematical model is used to predict the monobasic filtering rod.

4. a kind of method of predicting filtering rod according to claim 2 is characterized in that, said mathematical model is used to predict polynary composite filter resistance to suction.