Mathematic modeling of water-dispersion paints composition and coating properties
Keywords:
water-dispersion paints, fillers, carbonates, kaolin, optimization, mathematical planning, simplex-lattice methodAbstract
Background. Mineral fillers promising among them are chalk and kaolin of Ukrainian origin has significant influence on quality formation of water-dispersion paints and coatings. Mathematical experiment planning is an effective method of optimizing the water-dispersion paints composition and forecasting performance properties of the coating, which is the purpose of the article.
Material and methods. The object of study is the highly filled water-dispersion paints of different compositions with 60 % pigment volume concentration. The simplex-lattice method of experiment mathematical planning including D-optimal plan Kiefer is applied to determine the optimal composition of the water-dispersion paints and coatings properties. Research of quality indices of water-dispersion paints and coatings properties determine according to national and international standards.
Results. By regression analysis of mathematical models was obtained compromise region of water-dispersion coatings properties: film tensile strength (Y1) – 7.50–8.50 MPa; resistance to wet abrasion (loss of coating thickness) (Y2) – 4.5–5.0 microns; whiteness by Berger (Y3) – 60.0–75.0 units; hiding power (Y4) – 100–180 g/m2. The optimum composition of mineral fillers and pigments of water-dispersion is determined by the choice of compromise on the graphics area are: the mixture of carbonates (carbonate filler for plastics + chalk grade MMC-1) – 56.1 wt. %; kaolin KC-1 Prosyana – 15.2 wt. %; titanium Dioxide Crimea TiOx-230 – 28.7 wt. %. The obtained coating at this composition of paint according to mathematical modeling will have the film tensile strength – 7.93 MPa; resistance to wet abrasion – 4.6 microns; whiteness by Berger – 70.0 units; hiding power – 145 g/m2. It was found that the experimental data of coatings performance properties differ from the results obtained by mathematical planning within acceptable error of experiment.
Conclusion. Application of simplex-lattice method of experiment mathematical planning made it possible to obtain an optimal composition of water-dispersion paints with PVC 60 % coatings from which have the compromise high performance properties.
References
Sviderskij V. A. Sostojanie, struktura i perspektivy razvitija rynka lakokrasochnoj produkcii v Ukraine / V. A. Sviderskij, T. A. Karavaev // Lakokrasochnye materialy i ih primenenie. — 2010. — No 9. — S. 8—16.
Karavayev T. Solventbased paints still dominate (An overview of the Ukrainian paint and coatings market) / T. Karavayev // European Coatings Journal. — 2012. — Vol. 11. — P. 12—13.
Karavajev T. Rynok lakofarbovyh materialiv v Ukrai'ni: stan, problemy, perspektyvy / T. Karavajev // Pokraska professyonal'naja. — 2012. — No 6. — S. 34—36.
Sviders'kyj V. A. Dyspersnist' ta struktura karbonatnyh napovnjuvachiv dlja vodno-dyspersijnyh farb / V. A. Sviders'kyj, T. A. Karavajev // Visn. Cherkas. derzh. tehnol.un-tu. — 2012. — No 2. — S. 102—108.
Karavajev T. A. Osoblyvosti himichnogo skladu ta struktury vitchyznjanyh i zakordonnyh karbonatnyh napovnjuvachiv / T. A. Karavajev, V. A. Sviders'kyj // Visn. nac. tehn. un-tu "HPI" : zb. nauk. pr. — 2012. — No 32. — S. 116—124.
Karavajev T. A. Vlastyvosti poverhni karbonatnyh napovnjuvachiv / T. A. Karavajev, V. A. Sviders'kyj, I. V. Zemljanoj // Visn. Cherkas. derzh. tehnol. un-tu. — 2012. — No 4. — S. 95––100.
Karavajev T. A. Dyspersnist' i struktura kaoliniv ukrai'ns'kyh rodovyshh / T. A. Karavajev, V. A. Sviders'kyj // Keramyka: nauka y zhyzn'. — 2012. — No 1—2 (15—16). — S. 4—10.
Sviderskyi V. Composition and Physical-Chemical Properties of Ukrainian Kaolins Surface / V. Sviderskyi, T. Karavayev // Chemistry and Chemical Technology. — 2013. — Vol. 7, N 2. — P. 197—203.
Karavaev T. A. Svojstva poverhnosti kaolinov / T. A. Karavaev, V. A. Sviderskij // Tehnika i tehnologija silikatov. — 2013. — T. 20, No 4. — S. 11—16.
Karavajev T. Estetychni vlastyvosti pokryttiv z vodno-dyspersijnyh farb / T. Karavajev, V. Sviders'kyj // Mizhnar. nauk.-prakt. zhurn. "Tovary i rynky". — 2012. — No 2. — S. 180—190.
Karavajev T. Micnist' plivok z vodno-dyspersijnyh farb, napovnenyh karbonatamy i kaolinamy / T. Karavajev, V. Sviders'kyj // Mizhnar. nauk.-prakt. zhurn. "Tovary i rynky". — 2013. — No 2. — S. 139—148.
Karavajev T. A. Vyznachennja krytychnoi' ob’jemnoi' koncentracii' napovnjuvacha u vodno-dyspersijnyh farbah / T. A. Karavajev, V. A. Sviders'kyj // Visn. Cherkas. derzh. tehnol. un-tu.— 2013. — No 4. — S. 141—149. — (Serija "Tehnichni nauky").
Shahnazarova S. L. Metody optimizacii jeksperimenta v himicheskoj tehnologii / S. L. Shahnazarova, V. V. Kafarov. — M. : Vyssh. shkola, 1985. — 327 s.
Zedginidze I. G. Planirovanie jeksperimenta dlja issledovanija mnogokomponentnyh sistem / I. G. Zedginidze. — M. : Nauka, 1976. — 390 s.
Karavajev T. A. Matematychni modeli dlja rozrahunku shhil'nosti upakovky napovnjuvachiv u lakofarbovomu pokrytti / T. A. Karavajev, V. I. Denysenko : materialy I Mizhnar. nauk.-prakt. internet-konf. ["Aktual'ni problemy teorii' i praktyky ekspertyzy tovariv"], (m. Poltava 18–20 berez. 2014 r.). — Poltava : PUET, 2014. — S. 165—168.
