CN104894864B - A kind of method optimizing warp sizing slurry bubble foaming parameter - Google Patents

Abstract

The invention discloses a kind of method optimizing warp sizing slurry bubble foaming parameter, single_factor method is utilized to set up the functional relation of blowing temperature, rotating speed, the concentration of lauryl sodium sulfate and the foam performance of foaming concentration of slurry and slurries respectively, utilize these functional relations, find optium concentration and the optimal foaming concentration of slurry of optimal foaming temperature, optimum speed, lauryl sodium sulfate respectively, said method replaces the rough estimate of empirical method, for the foam process of warp sizing slurry bubble provides foundation.

Description

A kind of method optimizing warp sizing slurry bubble foaming parameter

Technical field

The present invention relates to a kind of warp sizing slurry bubble fabrication & properties characterizing method, belong to sizing fabric technical field.

Background technology

Bearing the ability of repeated multiple times stretching and rubbing action for improving warp thread, improving its weavability, needing to carry out starching process to warp thread.Foam starching is that medium carries out a kind of new technology of starching to warp thread with foam, and its good energy-saving and environmental protection performance is subject to the favor of Cotton Textile Enterprises.Foam starching not only reduces slurry consumption, is easy to destarch.And the burden decreased yarn drying, save energy resource consumption; With common starching, be obtained for lifting through the warp thread ABRASION RESISTANCE of foam starching and filoplume reduction rate.Foam starching is specially selects a kind of mixed slurry being added with surfactant, be deployed into and there is certain density solution, compressed air imports in pulp solution by foam device, then is formed foam slurry by mechanical agitation and sprayed equably on warp thread by foam by foam applicator.Be attached to the foam of warp thread through squeezing roller, foam breaks rolling a place, and slurries are overlayed on warp thread equably.Foam starching foam is called slurry bubble, and slurry bubble performance directly determines sizing quality.A kind of formulating method of warp sizing slurry bubble foaming parameter is the basis of foam Sizing Technology.But the formulation of foam starching slurry bubble foaming parameter carries out rough estimate often by empirical method at present, and this method often changes the quality of warp sizing due to the change of material, affect subsequent technique.

Summary of the invention

For above-mentioned prior art Problems existing, technical problem to be solved of the present invention is to provide a kind of method optimizing warp sizing slurry bubble foaming parameter; Another technical problem to be solved by this invention be to provide a kind of can obtain good foamability warp sizing foaming stock solution and corresponding foaming method.

Just optimize the method for warp sizing slurry bubble foaming parameter, the technical solution used in the present invention is:

Optimize a method for warp sizing slurry bubble foaming parameter, in no particular order respectively by optium concentration and the optimal foaming concentration of slurry of following experimentation determination optimal foaming temperature, optimum speed, lauryl sodium sulfate:

1. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to slurry mass concentration be in 1%-10% arbitrary concentration and heating size mixing, add after sizing mixing and form foaming stock solution relative to the lauryl sodium sulfate of quality arbitrary in slurries quality 0.5%-5%, Roche foam method is adopted by foaming stock solution to foam at different temperatures, test its foam elemental height, three minutes foam heights and five minutes foam heights, set up with the standard deviation of the foam height of foam elemental height and same temperature different time as independent variable, foaming capacity is the function of dependent variable, then optimal foaming temperature is obtained by object function analytic approach, described function is as shown in the formula shown in (1):

f＝αh′ ₀-(1-α)D(1)

In formula (1), α respectively (0,1), h ₀' for hydrometer method is without the initial foam height after guiding principle quantification treatment;

F gets maximum f _maxshi Ze show corresponding α at such a temperature the foamability of foaming stock solution and stability best; f _maxoccur that maximum temperature is optimum temperature;

2. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to slurry mass concentration be in 1%-10% arbitrary concentration and heating size mixing, add after sizing mixing and form foaming stock solution relative to the lauryl sodium sulfate of weight arbitrary in slurries quality 0.5%-5%, the foaming stock solution obtained utilizes mechanical mixing method to foam to foaming stock solution under 200ir/min rotating speed, test frostproof froth n multiplying power, half foam life period and foam viscosity; Described i is the positive integer between 1-10; The formula (2) calculating expansion ratio amplification g (a), half foam life period amplification g (b), foam viscosity amplification g (c) can be obtained:

$\left\{\begin{array}{c}g\left(a\right)=\frac{|a_i-a_{i-1}|}{a_{i-1}}\×100\%\\ g\left(b\right)=\frac{|b_i-b_{i-1}|}{b_{i-1}}\×100\%\\ g\left(c\right)=\frac{|c_i-c_{i-1}|}{c_{i-1}}\×100\%\end{array}\right.---\left(2\right)$

The expansion ratio of the foam obtained after foaming under different rotating speeds 200ir/min in formula (2) is a _i, half foam life period is b _i, foam viscosity is c _i;

The rotating speed when value of g (a), g (b), g (c) is less than 10% is simultaneously optimum speed;

3. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to slurry mass concentration be in 1%-10% arbitrary concentration and heating size mixing, add after sizing mixing and be equivalent to the lauryl sodium sulfate formation foaming stock solution that slurries quality is 0.5j%, mechanical mixing method is utilized to foam to foaming stock solution under arbitrary rotating speed in 200-2000r/min, test frostproof froth n multiplying power, half foam life period and foam viscosity; Described j is the positive integer between 1-10; The formula (3) calculating expansion ratio amplification h (a), half foam life period amplification h (b), foam viscosity amplification h (c) can be obtained:

$\left\{\begin{array}{c}h\left(a\right)=\frac{|a_j-a_{j-1}|}{a_{j-1}}\×100\%\\ h\left(b\right)=\frac{|b_j-b_{j-1}|}{b_{j-1}}\×100\%\\ h\left(c\right)=\frac{|c_j-c_{j-1}|}{c_{j-1}}\×100\%\end{array}\right.---\left(3\right)$

The expansion ratio of the foam obtained after foaming under different lauryl sodium sulfate concentration 0.5j% in formula (3) is a _j, half foam life period is b _j, foam viscosity is c _j;

The rotating speed when value of h (a), h (b), h (c) is less than 10% is simultaneously the optium concentration of lauryl sodium sulfate;

4. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to concentration of slurry be x% and heating size mixing, add after sizing mixing and form foaming stock solution relative to the lauryl sodium sulfate of quality arbitrary in slurries quality 0.5%-5%, mechanical mixing method is utilized to foam to foaming stock solution under arbitrary rotating speed in 200-2000r/min, getting x is respectively that positive integer between 1-10 is tested, test foaming stock solution foams, test frostproof froth n multiplying power, half foam life period and foam viscosity;

By obtained parameter without after guiding principle quantification treatment, least square method is adopted to simulate concentration of slurry and expansion ratio, functional relation between half foam life period and foam viscosity respectively, adopt the unification of ideal point method each partial objectives for function in a general objective function newly formed, multiple-objection optimization is converted into single-object problem thus determines optimal foaming concentration of slurry.

Further, in experiment 4., oxidized starch mixes according to 10:1 with polyacrylic acid, add the concentration of slurry x described in water stirring, add after sizing mixing and be equivalent to the lauryl sodium sulfate formation foaming stock solution that slurries quality is 2%, utilize mechanical mixing method under 1000r/min degree of turning, test foaming stock solution foams, test frostproof froth n multiplying power, half foam life period and foam viscosity;

By obtained parameter hydrometer method without after guiding principle quantification treatment, Matlab software is utilized to adopt least square method to simulate concentration of slurry and expansion ratio, functional relation between half foam life period and foam viscosity respectively; Described concentration of slurry and the function of half foam life period are as shown in the formula shown in (5); Described concentration of slurry and the function of foam viscosity are as shown in the formula shown in (6);

f ₁(x)＝-0.27ln(x)+0.18(R ²＝0.9528)(4)

f ₂(x)＝99.75x ^1.65(R ²＝0.9317)(5)

f ₃(x)＝12.44x+0.32(R ²＝0.9824)(6)

In formula, x is concentration of slurry, f ₁x () is expansion ratio, f ₂x () is half foam life period, f ₃x () is foam viscosity.

Adopt the unification of ideal point method each partial objectives for function in a general objective function newly formed, multiple-objection optimization is converted into single-object problem thus determines optimal foaming concentration of slurry, described general objective function is as shown in the formula shown in (8)

f(x)＝0.04ln ²(x)+0.24ln(x)+2513.02x ^3.30-100.26x ^1.62+58.22x ²-12.21x+2.01(8)

Provided by the invention utilize above-mentioned optimization method to obtain a kind of be applicable to mechanical mixing method foaming stock solution and corresponding foam process as follows:

A) oxidised maize starch and polyacrylic acid are mixed to get mixed slurry with 10:1;

B) concentration of slurry being diluted with water to mixed slurry is 9%;

C) adding lauryl sodium sulfate preparation mass fraction after stirring is the foaming stock solution of 2%;

D) utilize mechanical mixing method to foam foaming stock solution, blowing temperature is 50 DEG C, and mixing speed is 1000r/min.

The invention has the beneficial effects as follows: the present invention proposes a kind of method that warp sizing foamed slurry qualitative, quantitative optimizes foaming parameter, solve in prior art and by virtue of experience determine roughly the defect that brought error is larger, for the slurries preparation of the foam starching of warp thread provides foundation.And give and a kind ofly make foaming stock solution have good frothing capacity and obtain the mechanical agitation technological parameter of foam of stable performance.

Accompanying drawing explanation

Fig. 1: different α value, corresponding f _maxtemperature profile;

Fig. 2: mixing speed is on the impact of foaming properties;

Fig. 3: blowing agent mass fraction is on the impact of foaming properties;

Fig. 4: concentration of slurry is on the impact of foaming properties.

Detailed description of the invention

Technical characterstic of the present invention is set forth further below in conjunction with specific embodiment.

In embodiment, experiment reagent comprises the oxidised maize starch and polyacrylic acid that slurry is Changzhou Feng Yuan textile auxiliary company, and blowing agent is the lauryl sodium sulfate of Chemical Reagent Co., Ltd., Sinopharm Group; Instrument comprises IKA-RW20 high speed agitator and foams to foaming stock solution, foam viscosity test adopts Shanghai Fang Rui Instrument Ltd. SNB-1 type digital display viscosimeter and the water-bath of Shanghai Bo Xun Industrial Co., Ltd. Medical Equipment Plant CS501 type circulation constant temperature, and Roche foaming adopts the 2151 type Roche foam meters of Jintan Dadi Automation Equipment Factory.

It should be noted that, in the industrial production, oxidised maize starch and polyacrylic mixing ratio are generally (9-11): 1, and 10:1 is selected in this experiment.

Embodiment 1

Oxidised maize starch is mixed with 10:1 with polyacrylic acid, add water stir to concentration of slurry be 10%, add the lauryl sodium sulfate being equivalent to slurries quality 1% after sizing mixing and form foaming stock solution, Roche foam method is adopted to carry out foaming experiment at different temperatures the foaming stock solution obtained, research temperature is on the impact of system foamability, and foam height test result is as shown in table 1.

In Table 1, at each temperature, foam elemental height is larger, represents that foaming stock solution foamability is stronger; After three minutes with five minutes after foam height change the stability representing foam, the less explanation stability of height change is better, represents that foam height changes by standard deviation, that is, under the less different time of standard deviation foam height change less, foam is more stable.

The foam height of foaming stock solution under table 1 different temperatures

According to the content of table 1, can obtain one with foam elemental height and standard deviation be independent variable, the foaming capacity function (1) that is dependent variable, utilize this function can portray optimum temperature preferably:

f＝αh′ ₀-(1-α)D(1)

In formula, α gets 0,0.1 respectively ... 0.9,1, h ₀' be without guiding principle quantification treatment after initial foam height.F gets maximum f _maxshi Ze show the foamability of foaming stock solution at this temperature and stability best.Get different α value, f _maxtemperature Distribution as shown in Figure 1.

As shown in Figure 1, in the present embodiment, α gets 0, and 0.1, when 0.2, object function maximum is distributed in 20 DEG C; When α gets 0.3-0.8, object function maximum is distributed in 50 DEG C; When α gets 0.9 and 1, object function maximum is distributed in object function maximum and is distributed in 90 DEG C.But when getting 0 or 1, object function is all meaningless.Therefore, when α gets different value, object function maximum majority is distributed in 50 DEG C, and therefore, blowing temperature chooses 50 DEG C for good.

Embodiment 2

When utilizing mechanical agitation foaming to prepare foam, mixing speed is one of very important parameter.Oxidised maize starch is mixed with 10:1 with polyacrylic acid, add water stir to concentration of slurry be 10%, add the lauryl sodium sulfate being equivalent to slurries quality 1% after sizing mixing and form foaming stock solution, mechanical mixing method is utilized to foam to foaming stock solution under 200ir/min (i gets the positive integer between 1-10) rotating speed, test frostproof froth n multiplying power, half foam life period and foam viscosity; Its result as shown in Figure 2;

As shown in Figure 2, when mixing speed is 200r/min, stoste is without foamed phenomenon, and rise to 400r/min and produce foam, mixing speed often increases 200r/min and all surveys a secondary data, until 2000r/min.Expansion ratio, half foam life period and foam viscosity increase with the increase of mixing speed, and after mixing speed reaches a certain value, every foaming properties Parameters variation reduces, and surfactant foam performance diminishes by the impact of mixing speed, tends towards stability.The formula of calculating expansion ratio amplification g (a), half foam life period amplification g (b), foam viscosity amplification g (c) is as shown in the formula (2):

$\left\{\begin{array}{c}g\left(a\right)=\frac{|a_i-a_{i-1}|}{a_{i-1}}\×100\%\\ g\left(b\right)=\frac{|b_i-b_{i-1}|}{b_{i-1}}\×100\%\\ g\left(c\right)=\frac{|c_i-c_{i-1}|}{c_{i-1}}\×100\%\end{array}\right.---\left(2\right)$

The expansion ratio of the foam obtained after foaming under different rotating speeds 200ir/min (i gets the positive integer between 1-10) in formula (2) is a _i, half foam life period is b _i, foam viscosity is c _i;

The rotating speed when value of g (a), g (b), g (c) is less than 10% is simultaneously optimum speed;

Use cost can be increased, if so improve each foaming properties amplification after rotating speed to be less than 10%, so just can think and reach best mixing speed owing to improving rotating speed.Concrete amplification ratio sees the following form 2:

The amplification of foaming properties under the different mixing speed of table 2

As shown in Table 2, after mixing speed reaches 1000r/min, every foaming properties amplification is all less than 10%.Therefore mixing speed is set to the foam that 1000r/min can obtain stability.

Embodiment 3

When utilizing mechanical agitation foaming to prepare foam, the amount of blowing agent is one of very important parameter equally.Oxidised maize starch is mixed with 10:1 with polyacrylic acid, add water stir to concentration of slurry be 10%, add after sizing mixing and be equivalent to the lauryl sodium sulfate formation foaming stock solution that slurries quality is 0.5j% (j gets the positive integer between 1-10), mechanical mixing method is utilized to foam to foaming stock solution under 1000r/min rotating speed, test frostproof froth n multiplying power, half foam life period and foam viscosity; The mass fraction of blowing agent is on the impact of foaming properties, and result as shown in Figure 3.

The mass fraction of blowing agent, by 0.5%-5%, is measured once at interval of 0.5%, expansion ratio, half foam life period and foam viscosity, after mixing speed reaches a certain value, every foaming properties Parameters variation reduces, and surfactant foam performance diminishes by the impact of the mass fraction of blowing agent, tends towards stability.

The formula (3) calculating expansion ratio amplification h (a), half foam life period amplification h (b), foam viscosity amplification h (c) can be obtained:

$\left\{\begin{array}{c}h\left(a\right)=\frac{|a_j-a_{j-1}|}{a_{j-1}}\×100\%\\ h\left(b\right)=\frac{|b_j-b_{j-1}|}{b_{j-1}}\×100\%\\ h\left(c\right)=\frac{|c_j-c_{j-1}|}{c_{j-1}}\×100\%\end{array}\right.---\left(3\right)$

The expansion ratio of the foam obtained after foaming under different lauryl sodium sulfate concentration 0.5j% (j gets the positive integer between 1-10) in formula (3) is a _j, half foam life period is b _j, foam viscosity is c _j;

The value of h (a), h (b), h (c) is less than rotating speed when 10% simultaneously, so just can think the mass fraction having reached optimal foaming agent.Concrete amplification ratio sees the following form 3:

The amplification of the foaming properties of the mass fraction of the different blowing agent of table 3

As shown in Table 3, after the mass fraction of blowing agent reaches 2%, every foaming properties amplification is all less than 10%.Therefore the mass fraction of blowing agent is 2% foam that can obtain stability.

Embodiment 4

Oxidized starch mixes according to 10:1 with polyacrylic acid, add the concentration of slurry x described in water stirring, add after sizing mixing and be equivalent to the lauryl sodium sulfate formation foaming stock solution that slurries quality is 2%, utilize mechanical mixing method under 1000r/min degree of turning, test foaming stock solution foams, test frostproof froth n multiplying power, half foam life period and foam viscosity; Test result as shown in Figure 4.

For analyzing the relation of concentration of slurry and foaming properties parameters intuitively, by parameters by hydrometer method without after guiding principle quantification treatment, utilize Matlab software to simulate function (4), function (5) sum functions (6) of concentration of slurry and expansion ratio, half foam life period and foam viscosity respectively by least square method:

f ₁(x)＝-0.27ln(x)+0.18(R ²＝0.9528)(4)

f ₂(x)＝99.75x ^1.65(R ²＝0.9317)(5)

f ₃(x)＝12.44x+0.32(R ²＝0.9824)(6)

In formula, x is concentration of slurry, f ₁x () is expansion ratio, f ₂x () is half foam life period, f ₃x () is foam viscosity.

This research belongs to multi-objective optimization question, so propose employing unification-object method herein, by the unification of each partial objectives for function in a general objective function newly formed, multiple-objection optimization is converted into single-object problem.Ideal point method is adopted to obtain unified target function and formula (7):

$f\left(x\right)=\underset{i=1}{\overset{3}{\mathrm{\Σ}}}{\left[\frac{f_i\left(x\right)-f_i}{f_i}\right]}^2---\left(7\right)$

That is, when unified target function f (x) gets minimum of a value, each partial objectives for function, close to respective optimal value, when namely this unified target function gets minimum of a value, can obtain the optimal solution of optimization problem.First this method needs the optimal value f obtaining each partial objectives for respectively _i, for the three-phase foam performance parameter in this research, expansion ratio large expression mechanical foaming performance is good; Half foam life period is the important indicator of foam stability, and half foam life period more macrofoam is more stable; Foam viscosity is larger, and permeance property is better.

F is respectively for optimal value in foam parameters index each in this research ₁=1.35, f ₂=1.99, f ₃=1.63.Unified target function is as shown in the formula (8):

f(x)＝0.04ln ²(x)+0.24ln(x)+2513.02x ^3.30-100.26x ^1.62+58.22x ²-12.21x+2.01(8)

In formula, x span is [0.01,0.10], utilizes Matlab software to be optimized object function, draws optimal solution concentration of slurry x=0.0930, and unified target function f (x)=0.1815 is minimum of a value.In conjunction with the production practices of foam sizing, concentration of slurry is 9%.

Above-described embodiment is the part in numerous embodiment of the present invention, and when utilizing control variate method to find the optimal parameter of a certain variable, remaining variables can be selected one within the specific limits and be chosen.

Claims (3)

1. optimize a method for warp sizing slurry bubble foaming parameter, optium concentration and optimal foaming concentration of slurry respectively by following experimentation determination optimal foaming temperature, optimum speed, lauryl sodium sulfate:

1. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to slurry mass concentration be in 1%-10% arbitrary concentration and heating size mixing, add after sizing mixing and form foaming stock solution relative to the lauryl sodium sulfate of quality arbitrary in slurries quality 0.5%-5%, Roche foam method is adopted by foaming stock solution to foam at different temperatures, test its foam elemental height, three minutes foam heights and five minutes foam heights, set up with the standard deviation of the foam height of foam elemental height and same temperature different time as independent variable, foaming capacity is the function of dependent variable, then optimal foaming temperature is obtained by object function analytic approach, described function is as shown in the formula shown in (1):

f＝αh ₀′-(1-α)D(1)

0< α <1, h in formula (1) ₀' for hydrometer method is without the initial foam height after guiding principle quantification treatment, D is the standard deviation of foam elemental height, three minutes foam heights and five minutes foam heights;

F gets maximum f _maxshi Ze show corresponding α at such a temperature the foamability of foaming stock solution and stability best; f _maxoccur that maximum temperature is optimum temperature;

2. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to slurry mass concentration be in 1%-10% arbitrary concentration and heating size mixing, add after sizing mixing and form foaming stock solution relative to the lauryl sodium sulfate of weight arbitrary in slurries quality 0.5%-5%, the foaming stock solution obtained utilizes mechanical mixing method to foam to foaming stock solution under 200ir/min rotating speed, test frostproof froth n multiplying power, half foam life period and foam viscosity; Described i is the positive integer between 1-10; The formula (2) calculating expansion ratio amplification g (a), half foam life period amplification g (b), foam viscosity amplification g (c) can be obtained:

$\left\{\begin{array}{c}g\left(a\right)=\frac{|a_i-a_{i-1}|}{a_{i-1}}\&times;100\%\\ g\left(b\right)=\frac{|b_i-b_{i-1}|}{b_{i-1}}\&times;100\%\\ g\left(c\right)=\frac{|c_i-c_{i-1}|}{c_{i-1}}\&times;100\%\end{array}\right.---\left(2\right)$

The expansion ratio of the foam obtained after foaming under different rotating speeds 200ir/min in formula (2) is a _i, half foam life period is b _i, foam viscosity is c _i;

The rotating speed when value of g (a), g (b), g (c) is less than 10% is simultaneously optimum speed;

3. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to slurry mass concentration be in 1%-10% arbitrary concentration and heating size mixing, add after sizing mixing and be equivalent to the lauryl sodium sulfate formation foaming stock solution that slurries quality is 0.5j%, mechanical mixing method is utilized to foam to foaming stock solution under arbitrary rotating speed in 200-2000r/min, test frostproof froth n multiplying power, half foam life period and foam viscosity; Described j is the positive integer between 1-10; The formula (3) calculating expansion ratio amplification h (a), half foam life period amplification h (b), foam viscosity amplification h (c) can be obtained:

$\left\{\begin{array}{c}h\left(a\right)=\frac{|a_j-a_{j-1}|}{a_{j-1}}\&times;100\%\\ h\left(b\right)=\frac{|b_j-b_{j-1}|}{b_{j-1}}\&times;100\%\\ h\left(c\right)=\frac{|c_j-c_{j-1}|}{c_{j-1}}\&times;100\%\end{array}\right.---\left(3\right)$

The expansion ratio of the foam obtained after foaming under different lauryl sodium sulfate concentration 0.5j% in formula (3) is a _j, half foam life period is b _j, foam viscosity is c _j;

The rotating speed when value of h (a), h (b), h (c) is less than 10% is simultaneously the optium concentration of lauryl sodium sulfate;

4. by oxidized starch with polyacrylic acid in (9-11): in 1, arbitrary ratio mixes, add water stir to concentration of slurry be x% and heating size mixing, add after sizing mixing and form foaming stock solution relative to the lauryl sodium sulfate of quality arbitrary in slurries quality 0.5%-5%, mechanical mixing method is utilized to foam to foaming stock solution under arbitrary rotating speed in 200-2000r/min, getting x is respectively that positive integer between 1-10 is tested, test foaming stock solution foams, test frostproof froth n multiplying power, half foam life period and foam viscosity;

By obtained parameter hydrometer method without after guiding principle quantification treatment, least square method is adopted to simulate concentration of slurry and expansion ratio, functional relation between half foam life period and foam viscosity respectively, adopt the unification of ideal point method each partial objectives for function in a general objective function newly formed, multiple-objection optimization is converted into single-object problem thus determines optimal foaming concentration of slurry.

2. a kind of method optimizing warp sizing slurry bubble foaming parameter according to claim 1, it is characterized in that, in described experiment 4., oxidized starch mixes according to 10:1 with polyacrylic acid, add the concentration of slurry x described in water stirring, add after sizing mixing and be equivalent to the lauryl sodium sulfate formation foaming stock solution that slurries quality is 2%, utilize mechanical mixing method under 1000r/min degree of turning, test foaming stock solution foams, test frostproof froth n multiplying power, half foam life period and foam viscosity;

By obtained parameter hydrometer method without after guiding principle quantification treatment, Matlab software is utilized to adopt least square method to simulate concentration of slurry and expansion ratio, functional relation between half foam life period and foam viscosity respectively; Described concentration of slurry and the function of half foam life period are as shown in the formula shown in (5); Described concentration of slurry and the function of foam viscosity are as shown in the formula shown in (6);

f ₁(x)＝0.27ln(x)+0.18,R ²＝0.9528(4)

f ₂(x)＝99.75x ^1.65,R ²＝0.9317(5)

f ₃(x)＝12.44x+0.32,R ²＝0.9824(6)

In formula, x is concentration of slurry, f ₁x () is expansion ratio, f ₂x () is half foam life period, f ₃x () is foam viscosity.

Adopt the unification of ideal point method each partial objectives for function in a general objective function newly formed, multiple-objection optimization is converted into single-object problem thus determines optimal foaming concentration of slurry, described general objective function is as shown in the formula shown in (8)

f(x)＝0.04ln ²(x)+0.24ln(x)+2513.02x ^3.30-100.26x ^1.62+58.22x ²-12.21x+2.01(8)。

3. the foaming method of the warp sizing slurry bubble that the optimization method according to claim 1-2 obtains, comprises the following steps:

A) oxidised maize starch and polyacrylic acid are mixed to get mixed slurry with 10:1;

B) concentration of slurry being diluted with water to mixed slurry is 9%;

C) adding lauryl sodium sulfate preparation mass fraction after stirring is the foaming stock solution of 2%;

D) utilize mechanical mixing method to foam foaming stock solution, blowing temperature is 50 DEG C, and mixing speed is 1000r/min.