Journal
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 177, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2021.121536
Keywords
Anomalous diffusion; Time-dependent surface concentration; Time-dependent diffusion coefficient; Mathematical modelling vacuum casting
Categories
Funding
- Federal Ministry of Economics and Energy [ZF4036101RU5]
- European Regional Development Fund [EFRE-0300151, EFRE0300152]
- University Service center for Transmission Electron Microscopy (USTEM) at TU Wien
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This study investigates the anomalous diffusion of MDI into PDMS elastomer filled with fumed silica, focusing on the time-dependency of MDI polyurea reaction and proposing six analytical solutions to model the measured concentration profiles. Various techniques including ToF-SIMS, TEM, HIM, AFM, TGA, XPS, and NMR were used to characterize the spatially resolved chemical composition. The parameterized models showed good predictive power for the absorption data, substantiating the conjectured molecular phenomena.
In this study, we investigate the anomalous diffusion of methylene diphenylmethane-4,4'-diisocyanate (MDI) into fumed silica filled poly(dimethylsiloxane) (PDMS) elastomer, which occurs in the industrial application of polyurethane vacuum casting. The absorbed MDI polymerizes with moisture to polyurea within the silicone medium, forming a sequential semi interpenetrating polymer network. This results in the formation of polyurea clusters near the exposed surface. Here we focus on the spatially resolved chemical characterization on the micrometer scale utilizing time-of-flight secondary ion mass spectrom-etry (ToF-SIMS), transmission electron microscopy (TEM), helium ion microscopy (HIM), atomic force mi-croscopy (AFM), thermo-gravimetric analysis (TGA), X-ray photoelectron spectroscopy (XPS) as well as nuclear magnetic resonance spectroscopy (NMR). The concentration profile was determined experimen-tally using a customized method based on TGA. It was shown that the polyurea reaction of the MDI causes a time-dependency of both the surface concentration and the diffusion coefficient. Six analytical solutions to the diffusion equation obeying different time-dependent boundary conditions with different physical implications are proposed and used to model the measured concentration profiles. The parameterized models showed good predictive power for the measured absorption data and thus substantiated the conjectured molecular phenomena. (C) 2021 Elsevier Ltd. All rights reserved.
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