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Numerična optimizacija sorpcije v večfaznem Fickovem modelu prenosa vlage v lesu : magistrsko delo št.: 301/II. GR
ID Špiler, Jan (Author), ID Hozjan, Tomaž (Mentor) More about this mentor... This link opens in a new window, ID Pečenko, Robert (Co-mentor)

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Abstract
V magistrski nalogi je predstavljen nov zapis funkcije za določitev hitrosti sorpcije v večfaznem Fickovem modelu prenosa toplote in vlage po lesu. Spreminjanje temperature, parnih tlakov ter količine vezane vode v lesu je obravnavano kot povezan problem prevajanja toplote in vlage, zapisan s sistemom štirih parcialnih diferencialnih enačb. Ta osnovni sistem enačb je rešen z uporabo metode končnih elementov, pri čemer je implementacija numeričnega modela izvedena s pomočjo orodja »PDE toolbox«, vgrajenega v programski paket Matlab. Glavna novost v numeričnem modelu je uporaba nove funkcije za določanje hitrosti sorpcije. Cilj uporabe nove funkcije je izboljšanje konvergence računa in s tem skrajšanje računskega časa. Novo funkcijo določa pet neodvisnih parametrov ter predpis polinomske funkcije 3. stopnje. Vrednosti teh parametrov so bile določene s parametričnimi študijami, v katerih so bili rezultati novega modela primerjani z rezultati že uveljavljenega modela. Računske analize so pokazale, da je pri večini obravnavanih vlažnostnih stanj konvergenca pri novem modelu boljša ali vsaj enako dobra kot pri že uveljavljenem modelu. Slabost novega zapisa funkcije za določitev hitrosti sorpcije pa se je pokazala pri visokih vlažnostih, ko se je količina vezane vode v lesu približevala ravnovesnemu stanju. Tam je bila konvergenca novega modela slabša kot pri že uveljavljenem modelu

Language:Slovenian
Keywords:gradbeništvo, magistrska dela, GR, Sorpcija, večfazni prenos vlage v lesu, numerična optimizacija, adianumerično modeliranje, Fickov mode
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FGG - Faculty of Civil and Geodetic Engineering
Place of publishing:Ljubljana
Publisher:J. Špiler
Year:2023
Number of pages:XVI, 69 str.
PID:20.500.12556/RUL-152616-5dfba0e9-84e6-bfb8-80d4-182beec37450 This link opens in a new window
UDC:519.876.5:624.011.1-026.78(043.3)
COBISS.SI-ID:174461443 This link opens in a new window
Publication date in RUL:01.12.2023
Views:497
Downloads:23
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Secondary language

Language:English
Title:Numerical optimization of sorption in multi-phase Fickian model of moisture transport in wood : master thesis no.: 301/II. GR
Abstract:
This master thesis presents a new description of the function for determining the sorption rate in multiphase Fickian model of heat and mass transport in wood. Changes in temperature, vapour pressure and bound water content in wood are considered as coupled heat and mass transfer. As such, they are written by a system of four partial differential equations. This basic system of equations is solved using the finite element method with the help of the Matlab PDE Toolbox. The main purpose of the new function for the sorption rate was to improve the convergence of the numerical model and consequently reduce the calculation time. The new function is defined by five independent parameters and a 3rd degree polynomial function. The optimal value of the considered parameters was determined by parametric studies, in which the results of the new model were compared with the results of the already established model. The results showed that, for the most considered humidity states, the convergence of the new model is better or at least equivalent to the convergence of the established model. The downside of the new model was revealed when dealing with high moisture states, when the amount of bound water in the wood began to approach the equilibrium state. In this case the convergence of the new model was worse than the convergence of the established model.

Keywords:civil engineering, master thesis, Sorption, multi-phase moisture transport in wood, numerical optimization, numerical modelling, Fickian model

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