Određivanje efektivnog koeficijenta difuzije prilikom sušenja uzoraka od gline
Calculation of the effective diffusion coefficient during the drying of clay samples
Abstract
Cilj ovog rada je da se na primeru dve opekarske gline sa različitih lokaliteta odredi efektivni koeficijenat difuzije na osnovu eksperimentalno snimljenih krivih sušenja. Razvijen je metod i napravljena su dva kompjuterska programa za određivanje ovog koeficijenta, koji se zasnivaju na matematičkom rešavanju Fikove, odnosno Krankove difuzione jednačine. Po prvi put uzeto je u razmatranje i skupljanje opekarskih proizvoda u toku sušenja a odgovarajuća korekcija je uneta u proračun. Rezultati pokazuju da su vrednosti efektivnog koeficijenta difuzije određeni kompjuterskim programima (sa korekcijom i bez korekcije na skupljanje opekarskih proizvoda) reda veličine koje su navedene u literaturi za druge vrste opekarskih glina. Na osnovu matematičkim putem prognoziranih vrednosti efektivnog koeficijenta difuzije konstatovano je, da bez obzira na polazni mineraloški sastav opekarske sirovine, postoji 90 % slaganja prognoziranih krivih sušenja sa eksperimentalno snimljenim krivima sušenja. Za... slučaj kada je uvedena u proračune i korekcija na skupljanje opekarskih proizvoda ovo slaganje je još veće.
The aim of this study was to calculate the effective diffusion coefficient based on experimentally recorded drying curves for two masonry clays obtained from different localities. The calculation method and two computer programs based on the mathematical calculation of the Second Fick Law and the Cranck Diffusion Equation were developed. Masonry product shrinkage during drying was taken into consideration for the first time and the appropriate correction was entered into the calculation. The results presented in this paper show that the values of the effective diffusion coefficient determined by the designed computer programs (with and without the correction for shrinkage) have similar values to those available in the literature for the same coefficient for different clays. Based on the mathematically determined prognostic value of the effective diffusion coefficient, it was concluded that, whatever the initial mineralogical composition of the clay, there is 90 % agreement of the calcu...lated prognostic drying curves with the experimentally recorded ones. When a shrinkage correction of the masonry products is introduced into the calculation step, this agreement is even better.
Keywords:
mathematical modeling / drying / diffusion / computer programSource:
Journal of the Serbian Chemical Society, 2012, 77, 4, 523-533Publisher:
- Srpsko hemijsko društvo, Beograd
Funding / projects:
DOI: 10.2298/JSC110717191V
ISSN: 0352-5139
WoS: 000303488400010
Scopus: 2-s2.0-84860640252
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Institution/Community
Institut za ispitivanje materijalaTY - JOUR AU - Vasić, Miloš AU - Radojević, Zagorka AU - Grbavčić, Željko PY - 2012 UR - http://rims.institutims.rs/handle/123456789/181 AB - Cilj ovog rada je da se na primeru dve opekarske gline sa različitih lokaliteta odredi efektivni koeficijenat difuzije na osnovu eksperimentalno snimljenih krivih sušenja. Razvijen je metod i napravljena su dva kompjuterska programa za određivanje ovog koeficijenta, koji se zasnivaju na matematičkom rešavanju Fikove, odnosno Krankove difuzione jednačine. Po prvi put uzeto je u razmatranje i skupljanje opekarskih proizvoda u toku sušenja a odgovarajuća korekcija je uneta u proračun. Rezultati pokazuju da su vrednosti efektivnog koeficijenta difuzije određeni kompjuterskim programima (sa korekcijom i bez korekcije na skupljanje opekarskih proizvoda) reda veličine koje su navedene u literaturi za druge vrste opekarskih glina. Na osnovu matematičkim putem prognoziranih vrednosti efektivnog koeficijenta difuzije konstatovano je, da bez obzira na polazni mineraloški sastav opekarske sirovine, postoji 90 % slaganja prognoziranih krivih sušenja sa eksperimentalno snimljenim krivima sušenja. Za slučaj kada je uvedena u proračune i korekcija na skupljanje opekarskih proizvoda ovo slaganje je još veće. AB - The aim of this study was to calculate the effective diffusion coefficient based on experimentally recorded drying curves for two masonry clays obtained from different localities. The calculation method and two computer programs based on the mathematical calculation of the Second Fick Law and the Cranck Diffusion Equation were developed. Masonry product shrinkage during drying was taken into consideration for the first time and the appropriate correction was entered into the calculation. The results presented in this paper show that the values of the effective diffusion coefficient determined by the designed computer programs (with and without the correction for shrinkage) have similar values to those available in the literature for the same coefficient for different clays. Based on the mathematically determined prognostic value of the effective diffusion coefficient, it was concluded that, whatever the initial mineralogical composition of the clay, there is 90 % agreement of the calculated prognostic drying curves with the experimentally recorded ones. When a shrinkage correction of the masonry products is introduced into the calculation step, this agreement is even better. PB - Srpsko hemijsko društvo, Beograd T2 - Journal of the Serbian Chemical Society T1 - Određivanje efektivnog koeficijenta difuzije prilikom sušenja uzoraka od gline T1 - Calculation of the effective diffusion coefficient during the drying of clay samples EP - 533 IS - 4 SP - 523 VL - 77 DO - 10.2298/JSC110717191V ER -
@article{ author = "Vasić, Miloš and Radojević, Zagorka and Grbavčić, Željko", year = "2012", abstract = "Cilj ovog rada je da se na primeru dve opekarske gline sa različitih lokaliteta odredi efektivni koeficijenat difuzije na osnovu eksperimentalno snimljenih krivih sušenja. Razvijen je metod i napravljena su dva kompjuterska programa za određivanje ovog koeficijenta, koji se zasnivaju na matematičkom rešavanju Fikove, odnosno Krankove difuzione jednačine. Po prvi put uzeto je u razmatranje i skupljanje opekarskih proizvoda u toku sušenja a odgovarajuća korekcija je uneta u proračun. Rezultati pokazuju da su vrednosti efektivnog koeficijenta difuzije određeni kompjuterskim programima (sa korekcijom i bez korekcije na skupljanje opekarskih proizvoda) reda veličine koje su navedene u literaturi za druge vrste opekarskih glina. Na osnovu matematičkim putem prognoziranih vrednosti efektivnog koeficijenta difuzije konstatovano je, da bez obzira na polazni mineraloški sastav opekarske sirovine, postoji 90 % slaganja prognoziranih krivih sušenja sa eksperimentalno snimljenim krivima sušenja. Za slučaj kada je uvedena u proračune i korekcija na skupljanje opekarskih proizvoda ovo slaganje je još veće., The aim of this study was to calculate the effective diffusion coefficient based on experimentally recorded drying curves for two masonry clays obtained from different localities. The calculation method and two computer programs based on the mathematical calculation of the Second Fick Law and the Cranck Diffusion Equation were developed. Masonry product shrinkage during drying was taken into consideration for the first time and the appropriate correction was entered into the calculation. The results presented in this paper show that the values of the effective diffusion coefficient determined by the designed computer programs (with and without the correction for shrinkage) have similar values to those available in the literature for the same coefficient for different clays. Based on the mathematically determined prognostic value of the effective diffusion coefficient, it was concluded that, whatever the initial mineralogical composition of the clay, there is 90 % agreement of the calculated prognostic drying curves with the experimentally recorded ones. When a shrinkage correction of the masonry products is introduced into the calculation step, this agreement is even better.", publisher = "Srpsko hemijsko društvo, Beograd", journal = "Journal of the Serbian Chemical Society", title = "Određivanje efektivnog koeficijenta difuzije prilikom sušenja uzoraka od gline, Calculation of the effective diffusion coefficient during the drying of clay samples", pages = "533-523", number = "4", volume = "77", doi = "10.2298/JSC110717191V" }
Vasić, M., Radojević, Z.,& Grbavčić, Ž.. (2012). Određivanje efektivnog koeficijenta difuzije prilikom sušenja uzoraka od gline. in Journal of the Serbian Chemical Society Srpsko hemijsko društvo, Beograd., 77(4), 523-533. https://doi.org/10.2298/JSC110717191V
Vasić M, Radojević Z, Grbavčić Ž. Određivanje efektivnog koeficijenta difuzije prilikom sušenja uzoraka od gline. in Journal of the Serbian Chemical Society. 2012;77(4):523-533. doi:10.2298/JSC110717191V .
Vasić, Miloš, Radojević, Zagorka, Grbavčić, Željko, "Određivanje efektivnog koeficijenta difuzije prilikom sušenja uzoraka od gline" in Journal of the Serbian Chemical Society, 77, no. 4 (2012):523-533, https://doi.org/10.2298/JSC110717191V . .