CN106814019B - A kind of measurement method of paper coating material imbibition characteristic - Google Patents
A kind of measurement method of paper coating material imbibition characteristic Download PDFInfo
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- CN106814019B CN106814019B CN201710044077.2A CN201710044077A CN106814019B CN 106814019 B CN106814019 B CN 106814019B CN 201710044077 A CN201710044077 A CN 201710044077A CN 106814019 B CN106814019 B CN 106814019B
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- 239000000463 material Substances 0.000 title claims abstract description 104
- 239000011248 coating agent Substances 0.000 title claims abstract description 81
- 238000000576 coating method Methods 0.000 title claims abstract description 81
- 238000005213 imbibition Methods 0.000 title claims abstract description 59
- 238000000691 measurement method Methods 0.000 title claims abstract description 20
- IJGRMHOSHXDMSA-UHFFFAOYSA-N Atomic nitrogen Chemical compound N#N IJGRMHOSHXDMSA-UHFFFAOYSA-N 0.000 claims abstract description 58
- 238000005259 measurement Methods 0.000 claims abstract description 41
- 229910052757 nitrogen Inorganic materials 0.000 claims abstract description 29
- 238000001179 sorption measurement Methods 0.000 claims abstract description 26
- 238000010521 absorption reaction Methods 0.000 claims description 17
- 239000002356 single layer Substances 0.000 claims description 14
- 238000001035 drying Methods 0.000 claims description 12
- 238000007639 printing Methods 0.000 claims description 12
- 239000012530 fluid Substances 0.000 claims description 9
- 239000000843 powder Substances 0.000 claims description 8
- 238000002347 injection Methods 0.000 claims description 4
- 239000007924 injection Substances 0.000 claims description 4
- QSHDDOUJBYECFT-UHFFFAOYSA-N mercury Chemical compound [Hg] QSHDDOUJBYECFT-UHFFFAOYSA-N 0.000 claims description 4
- 229910052753 mercury Inorganic materials 0.000 claims description 4
- 238000000605 extraction Methods 0.000 claims description 3
- 230000005484 gravity Effects 0.000 claims description 3
- 238000007620 mathematical function Methods 0.000 claims description 3
- 239000002245 particle Substances 0.000 claims description 3
- 238000009736 wetting Methods 0.000 claims description 3
- 238000000034 method Methods 0.000 abstract description 9
- 238000012512 characterization method Methods 0.000 abstract description 2
- VTYYLEPIZMXCLO-UHFFFAOYSA-L Calcium carbonate Chemical compound [Ca+2].[O-]C([O-])=O VTYYLEPIZMXCLO-UHFFFAOYSA-L 0.000 description 4
- 238000001816 cooling Methods 0.000 description 3
- 229910000019 calcium carbonate Inorganic materials 0.000 description 2
- 239000007789 gas Substances 0.000 description 2
- 230000003993 interaction Effects 0.000 description 2
- 239000010410 layer Substances 0.000 description 2
- 235000013399 edible fruits Nutrition 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 238000013178 mathematical model Methods 0.000 description 1
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
- G01N15/08—Investigating permeability, pore-volume, or surface area of porous materials
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
- G01N15/08—Investigating permeability, pore-volume, or surface area of porous materials
- G01N2015/0866—Sorption
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- Physics & Mathematics (AREA)
- Health & Medical Sciences (AREA)
- Life Sciences & Earth Sciences (AREA)
- Analytical Chemistry (AREA)
- Biochemistry (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Immunology (AREA)
- Pathology (AREA)
- Application Of Or Painting With Fluid Materials (AREA)
- Laminated Bodies (AREA)
- Paints Or Removers (AREA)
- Paper (AREA)
Abstract
The invention discloses a kind of measurement methods of paper coating material imbibition characteristic, this method carries out the measurement of paper coating material imbibition characteristic in accordance with the following methods, using the adsorption curve and structure relevant parameter of nitrogen adsorption instrument measurement paper coating material, the structure feature index of paper coating material is solved by adsorption curve and structure relevant parameter；Paper coating material imbibition characteristic curve can be obtained using parameters, the calculation formula proposed through the invention such as the porosity of measurement material and average grain diameters.The method of the present invention utilizes the relevant parameter of structure measurement in material physical chemistry, and the method based on mathematical computations measures paper coating material imbibition characteristic curve, provides a method for characterization paper coating material imbibition characteristic.
Description
Technical field
The invention belongs to papermaking and printing technologies, are related to a kind of measurement method of paper base material imbibition characteristic, specifically
It is related to a kind of measurement method of paper coating material imbibition characteristic.
Background technique
The interaction for printing ink and paper coating, the imbibition mainly by printing pressure or paper coating surface act on
To realize.In the case where not considering printing pressure, such as digital printing, digital printing, ink flow and paper coating surface
Interaction relationship is mainly reflected in mutual imbibition effect.In printing process, existing classics imbibitions model is in table
When levying the imbibition of paper coating material, often there is biggish error with practical imbibition.Therefore scientific and technical personnel generally pass through different skills
Art means constantly improve and correct to classical imbibition theory and classical imbibitions model, so as to the practical knot that preferably coincide
Fruit.Application No. is 201310664690.6, applying date 2013.12.09, Publication No.: 103630478A, publication date are
2014.03.12, the patent of entitled " a kind of porous calcium carbonate just start from imbibition rate measurement method ", it is more to describe one kind
Hole calcium carbonate just starts from the measurement method of imbibition rate, but the patent does not refer to the imbibition situation of imbibition follow-up phase.Therefore
It is a kind of it is accurate measurement and characterization paper coating material imbibition characteristic method for improve printing quality and improve coating structure have
Important meaning.
Summary of the invention
The object of the present invention is to provide a kind of measurement methods of paper coating material imbibition characteristic, solve existing measurement paper
Error big problem when opening coating material imbibition characteristic.
The technical scheme adopted by the invention is that a kind of measurement method of paper coating material imbibition characteristic, specifically according to
Following steps are implemented:
Step 1: measurement sample is randomly selected from paper coating material to be measured, at the measurement sample of extraction
Reason carries out paper coating single layer of material adsorbance Q to measurement sample using nitrogen adsorption instrumentm, absorption constant C and in opposite pressure pi
Adsorbance Q (p under parameteri) measurement；
Step 2: by obtaining paper coating single layer of material adsorbance Q in step 1m, absorption constant C and in opposite pressure piGinseng
Adsorbance Q (p under severali), it is calculated according to formula (1) and (2) in any opposite pressure piLower material structure parameter A (i) and B (i),
Wherein i=1,2,3 ...；
A (i)=- log10(1-pi) (1)
B (i)=log10(Q(pi))-log10(Qm)-log10(C·pi/(1-pi+C·pi)) (2)
In formula (1) and formula (2), QmFor paper coating single layer of material adsorbance, C is absorption constant, piFor opposite pressure, Q
(pi) it is in opposite pressure piAdsorbance under parameter, A (i) and B (i) are material structure parameter；
Step 3: from step 2, with A (i) for abscissa, being marked with B (i) to be vertical, trace figure seeks curve in the curve graph
Slope k；
Step 4: according to the slope k acquired in step 3, being referred to according to the structure feature that formula (3) calculate paper coating material
Number Dch；
Dch=3-k (3)
Step 5: the average grain diameter r of measurement paper coating materialp, the porosity φ of paper coating material is measured, according to public affairs
The equivalent maximum diameter of hole R of formula (4) calculating materialmax；
Step 6: in paper coating material structure characteristic parameter Dch, equivalent maximum diameter of hole RmaxThe feelings determined with porosity φ
Under condition, according to formula (5) and (6), the imbibition characteristic curve of coating material, the i.e. function of imbibition length l and imbibition time t are found out
Relationship, to complete the measurement of paper coating material imbibition characteristic:
The γ of l (t)=4LV·cosθ·φ·(5-Dch)·(1+W(-e-1-at))/((4-Dch)·g·Rmax·ρ) (5)
In formula (5) and (6), γLV, η, ρ and θ be respectively imbibition printing fluids surface tension, viscosity, density and fluid
To the angle of wetting of material, g is fluid gravity constant, and W is the Lambert W function in mathematical function.
The features of the present invention also characterized in that
In step 3 when curve has 2 or more slopes, it should choose absorption higher-pressure region slope of a curve, adsorb high pressure
The opposite pressure in area is 0.6-0.9MPa.
The structure feature index D calculated in step 4chBetween 2-3.
Lambert W function is lambert's W function in step 6, and the approximation W (x) of lambert's W function mathematical meaning is according to formula
(7) it calculates:
In formula (7), x is the independent variable of lambert's W function, e=2.718.
Step 1 specifically: paper coating Materials Measurement sample is ground, the sample of powder shaped is ground to, takes 0.5-
The sample of 1.0g powder shaped is placed inside baking oven, and the temperature of baking oven is 105 °, drying time 24-48h, after then drying baking oven
Sample be fitted into the dedicated test tube of nitrogen adsorption, the nitrogen dry exhaust device for utilizing nitrogen adsorption instrument included, drying temperature
It is 130-150 °, excludes sample interior air using nitrogen, evacuation time at least 1h utilizes the cooling row of nitrogen at room temperature later
Sample after gas, at least 0.5h, and weigh, and calculate the net quality of sample, then to the net matter in nitrogen adsorption instrument
The sample of amount carries out monolayer adsorption amount Qm, absorption constant C and in opposite pressure piAdsorbance Q (p under parameteri) measurement.
Step 5 measures the average grain diameter r of paper coating material using material particle size instrumentp, applied using mercury injection apparatus measurement paper
The porosity φ of layer material.
The invention has the advantages that a kind of measurement method of paper coating material imbibition characteristic, utilizes Material Physics
Conventional material structure characterizes equipment in, obtains the basic structure measurement of material, is based on relevant mathematical computations, accurate, side
Just calculating paper coating material imbibition characteristic, provides base for the raising of printing quality and the improvement of coating material imbibition characteristic
The reference data of plinth.
Detailed description of the invention
Fig. 1 is a kind of measuring method flow chart of paper coating material imbibition characteristic of the present invention；
Fig. 2 is that a kind of calculated value of measurement method of paper coating material imbibition characteristic of the present invention and paper coating material seep
Inhale the result figure of the direct measured value of characteristic；
Fig. 3 is adsorption curve figure.
Specific embodiment
The following describes the present invention in detail with reference to the accompanying drawings and specific embodiments.
A kind of measurement method of paper coating material imbibition characteristic of the present invention, utilizes nitrogen adsorption instrument, mercury injection apparatus and granularity
Instrument measures the elementary structure parameter of paper coating material, using the mathematical model and formula of the invention patent to paper coating material
Material imbibition characteristic is solved, as shown in Figure 1, being specifically implemented according to the following steps:
Step 1: measurement sample is randomly selected from paper coating material to be measured, at the measurement sample of extraction
Reason carries out paper coating single layer of material adsorbance Q to measurement sample using nitrogen adsorption instrumentm, absorption constant C and in opposite pressure pi
Adsorbance Q (p under parameteri) measurement；
Step 1 specifically: paper coating Materials Measurement sample is ground, the sample of powder shaped is ground to, takes 0.5-
The sample of 1.0g powder shaped is placed inside baking oven, and the temperature of baking oven is 105 °, drying time 24-48h, after then drying baking oven
Sample be fitted into the dedicated test tube of nitrogen adsorption, the nitrogen dry exhaust device for utilizing nitrogen adsorption instrument included, drying temperature
It is 130-150 °, excludes sample interior air using nitrogen, evacuation time at least 1h utilizes the cooling row of nitrogen at room temperature later
Sample after gas, at least 0.5h, and weigh, and calculate the net quality of sample, then to the net matter in nitrogen adsorption instrument
The sample of amount carries out monolayer adsorption amount Qm, absorption constant C and in opposite pressure piAdsorbance Q (p under parameteri) measurement；
Step 2: by obtaining paper coating single layer of material adsorbance Q in step 1m, absorption constant C and in opposite pressure piGinseng
Adsorbance Q (p under severali), it is calculated according to formula (1) and (2) in any opposite pressure piLower material structure parameter A (i) and B (i),
Wherein i=1,2,3 ...；
A (i)=- log10(1-pi) (1)
B (i)=log10(Q(pi))-log10(Qm)-log10(C·pi/(1-pi+C·pi)) (2)
In formula (1) and formula (2), QmFor paper coating single layer of material adsorbance, C is absorption constant, piFor opposite pressure, Q
(pi) it is in opposite pressure piAdsorbance under parameter, A (i) and B (i) are material structure parameter；
Step 3: from step 2, with A (i) for abscissa, being marked with B (i) to be vertical, trace figure seeks curve in the curve graph
Slope k；
In step 3 when curve has 2 or more slopes, it should choose absorption higher-pressure region slope of a curve, adsorb high pressure
The opposite pressure in area is 0.6-0.9MPa；
Step 4: according to the slope k acquired in step 3, being referred to according to the structure feature that formula (3) calculate paper coating material
Number Dch, the structure feature index D that calculates in step 4chBetween 2-3；
Dch=3-k (3)
Step 5: utilizing the average grain diameter r of material particle size instrument measurement paper coating materialp, applied using mercury injection apparatus measurement paper
The porosity φ of layer material calculates the equivalent maximum diameter of hole R of material according to formula (4)max；
Step 6: in paper coating material structure characteristic parameter Dch, equivalent maximum diameter of hole RmaxThe feelings determined with porosity φ
Under condition, according to formula (5) and (6), the imbibition characteristic curve of coating material, the i.e. function of imbibition length l and imbibition time t are found out
Relationship, to complete the measurement of paper coating material imbibition characteristic:
The γ of l (t)=4LV·cosθ·φ·(5-Dch)·(1+W(-e-1-at))/((4-Dch)·g·Rmax·ρ) (5)
In formula (5) and (6), γLV, η, ρ and θ be respectively imbibition printing fluids surface tension, viscosity, density and fluid
To the angle of wetting of material, g is fluid gravity constant, and W is the Lambert W function in mathematical function；
Lambert W function is lambert's W function in step 6, and the approximation W (x) of lambert's W function mathematical meaning is according to formula
(7) it calculates:
In formula (7), x is the independent variable of lambert's W function, e=2.718.
Embodiment
A kind of measurement method of paper coating material imbibition characteristic, is specifically implemented according to the following steps:
Step 1: measurement sample is randomly selected from paper coating material to be measured, by paper coating Materials Measurement sample
It is ground, is ground to the sample of powder shaped, the sample of 0.8g powder shaped is taken to place inside baking oven, the temperature of baking oven is 105 °,
Drying time, the sample after then drying baking oven was fitted into the dedicated test tube of nitrogen adsorption for 24 hours, included using nitrogen adsorption instrument
Nitrogen dry exhaust device, drying temperature be 140 °, utilize nitrogen exclude sample interior air, evacuation time 1h, Zhi Hou
At room temperature using the sample after the cooling exhaust of nitrogen, evacuation time 0.5h, and weigh, and calculate the net quality of sample
Then 0.77g carries out adsorption curve and monolayer adsorption amount Q to the sample of the net quality in nitrogen adsorption instrumentmAnd absorption constant
The measurement of C, wherein adsorption curve is the opposite pressure p in as shown in Figure 3iAdsorbance Q (p under parameteri) curve, Qm=
0.06713mmol/g, C=105.91；
Step 2: by obtaining paper coating single layer of material adsorbance Q in step 1m, absorption constant C and in opposite pressure piGinseng
Adsorbance Q (p under severali), it is calculated according to formula (1) and (2) in any opposite pressure piLower material structure parameter A (i) and B (i),
Wherein i=1,2,3 ...；
A (i)=- log10(1-pi) (1)
B (i)=log10(Q(pi))-log10(Qm)-log10(C·pi/(1-pi+C·pi)) (2)
Step 3: from step 2, with A (i) for abscissa, being marked with B (i) to be vertical, trace figure seeks curve in the curve graph
Slope k, k=0.641；
Step 4: according to the slope k acquired in step 3, being referred to according to the structure feature that formula (3) calculate paper coating material
Number Dch, Dch=2.359；
Dch=3-k (3)
Step 5: the average grain diameter r of measurement paper coating materialp, rp=8.45 μm；Measure the porosity of paper coating material
φ, φ=28.6% calculate the equivalent maximum diameter of hole R of material according to formula (4)max, Rmax=3.33 μm；
Step 6: in paper coating material structure characteristic parameter Dch, equivalent maximum diameter of hole RmaxThe feelings determined with porosity φ
Under condition, according to formula (5) and (6), the imbibition characteristic curve of coating material, the i.e. function of imbibition length l and imbibition time t are found out
Relationship, to complete the measurement of paper coating material imbibition characteristic:
The γ of l (t)=4LV·cosθ·φ·(5-Dch)·(1+W(-e-1-at))/((4-Dch)·g·Rmax·ρ) (5)
In formula (5) and (6), γLV=0.0272N.m-1, the Pa of η=0.0041 s, ρ=804 kg.m-3, θ=0 degree, g
=9.8N.kg-1。
The imbibition characteristic curve of calculating paper coating material of the invention and the curve of experiment measurement are compared, such as Fig. 2
It indicates, from figure 2 it can be seen that the invention proposes measurement methods is very close with Special experimental device measuring result, measurement
Error is small when paper coating material imbibition characteristic, to demonstrate effectiveness of the invention.
Claims (6)
1. a kind of measurement method of paper coating material imbibition characteristic, which is characterized in that be specifically implemented according to the following steps:
Step 1: measurement sample is randomly selected from paper coating material to be measured, the measurement sample of extraction is handled,
Paper coating single layer of material adsorbance Q is carried out to measurement sample using nitrogen adsorption instrumentm, absorption constant C and in opposite pressure piParameter
Under adsorbance Q (pi) measurement；
Step 2: by obtaining paper coating single layer of material adsorbance Q in step 1m, absorption constant C and in opposite pressure piUnder parameter
Adsorbance Q (pi), it is calculated according to formula (1) and (2) in any opposite pressure piLower material structure parameter A (i) and B (i), wherein i
=1,2,3 ...；
A (i)=- log10(1-pi) (1)
B (i)=log10(Q(pi))-log10(Qm)-log10(C·pi/(1-pi+C·pi)) (2)
In formula (1) and formula (2), QmFor paper coating single layer of material adsorbance, C is absorption constant, piFor opposite pressure, Q (pi)
For in opposite pressure piAdsorbance under parameter, A (i) and B (i) are material structure parameter；
Step 3: being vertical mark with B (i) with A (i) for abscissa from step 2, trace figure seeks the oblique of curve in the curve graph
Rate k；
Step 4: according to the slope k acquired in step 3, the structure feature index D of paper coating material is calculated according to formula (3)ch；
Dch=3-k (3)
Step 5: the average grain diameter r of measurement paper coating materialp, the porosity φ of paper coating material is measured, according to formula (4)
Calculate the equivalent maximum diameter of hole R of materialmax；
Step 6: in paper coating material structure characteristic parameter Dch, equivalent maximum diameter of hole RmaxIn the case where being determined with porosity φ,
According to formula (5) and (6), find out the imbibition characteristic curve of coating material, i.e. the functional relation of imbibition length l and imbibition time t,
To complete the measurement of paper coating material imbibition characteristic:
The γ of l (t)=4LV·cosθ·φ·(5-Dch)·(1+W(-e-1-at))/((4-Dch)·g·Rmax·ρ) (5)
In formula (5) and (6), γLV, η, ρ and θ be respectively surface tension, viscosity, density and the fluid of imbibition printing fluids to material
The angle of wetting of material, g are fluid gravity constant, and W is the Lambert W function in mathematical function.
2. a kind of measurement method of paper coating material imbibition characteristic according to claim 1, which is characterized in that the step
In rapid 3 when curve has 2 or more slopes, it should choose absorption higher-pressure region slope of a curve, adsorb the opposite pressure of higher-pressure region
For 0.6-0.9MPa.
3. a kind of measurement method of paper coating material imbibition characteristic according to claim 1, which is characterized in that the step
The structure feature index D calculated in rapid 4chBetween 2-3.
4. a kind of measurement method of paper coating material imbibition characteristic according to claim 1-3, feature exist
In Lambert W function is lambert's W function in the step 6, and the approximation W (x) of lambert's W function mathematical meaning is according to formula
(7) it calculates:
In formula (7), x is the independent variable of lambert's W function, e=2.718.
5. a kind of measurement method of paper coating material imbibition characteristic according to claim 4, which is characterized in that the step
Rapid 1 specifically: paper coating Materials Measurement sample is ground, the sample of powder shaped is ground to, takes 0.5-1.0g powder shaped
Sample place inside baking oven, the temperature of baking oven is 105 °, drying time 24-48h, and the sample after then drying baking oven is packed into
In the dedicated test tube of nitrogen adsorption, the nitrogen dry exhaust device carried using nitrogen adsorption instrument, drying temperature is 130-150 °,
Sample interior air is excluded using nitrogen, evacuation time at least 1h cools down the sample after exhaust using nitrogen at room temperature later,
At least 0.5h, and weigh, and calculate the net quality of sample, then the sample of the net quality is carried out in nitrogen adsorption instrument
Monolayer adsorption amount Qm, absorption constant C and in opposite pressure piAdsorbance Q (p under parameteri) measurement.
6. a kind of measurement method of paper coating material imbibition characteristic according to claim 4, which is characterized in that the step
Rapid 5 measure the average grain diameter r of paper coating material using material particle size instrumentp, utilize the hole of mercury injection apparatus measurement paper coating material
Gap rate φ.
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB391098A (en) * | 1930-07-16 | 1933-04-20 | Syncomex Studien & Finanzierun | Improvements in and relating to the production of multicoloured images |
| CN103630478A (en) * | 2013-12-09 | 2014-03-12 | 陕西科技大学 | Method for measuring initial self-imbibition rate of porous calcium carbonate |
| CN104777085A (en) * | 2015-03-23 | 2015-07-15 | 中山大学 | Gas transmission rate multi-method measurement and correction system for packaging material |
| CN105021506A (en) * | 2015-07-09 | 2015-11-04 | 中国石油大学(华东) | Pore network model-based calculation method of three-phase relative permeability |
-
2017
- 2017-01-19 CN CN201710044077.2A patent/CN106814019B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB391098A (en) * | 1930-07-16 | 1933-04-20 | Syncomex Studien & Finanzierun | Improvements in and relating to the production of multicoloured images |
| CN103630478A (en) * | 2013-12-09 | 2014-03-12 | 陕西科技大学 | Method for measuring initial self-imbibition rate of porous calcium carbonate |
| CN104777085A (en) * | 2015-03-23 | 2015-07-15 | 中山大学 | Gas transmission rate multi-method measurement and correction system for packaging material |
| CN105021506A (en) * | 2015-07-09 | 2015-11-04 | 中国石油大学(华东) | Pore network model-based calculation method of three-phase relative permeability |
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