Adapting gravimetric sorption analyzer to estimate water vapor diffusivity in micrometric size cellulose particles
- 77 Downloads
Abstract
This study aims at developing a reliable and simple-to-implement methodology for the estimation of apparent water vapor diffusivity at the scale of micrometric size cellulose particles based on gravimetric measurements. The water vapor apparent diffusivity value was evaluated by using a quartz crystal microbalance (QCM) on a cellulose sample of 1 µg was 4 × 10−12 m2 s−1. Water vapor sorption kinetics at successive relative humidity (RH) steps were measured using a dynamic vapor sorption (DVS) microbalance by testing two types of sample preparation, i.e. either a powder bed or a compressed tablet. Water vapor apparent diffusivity was identified at each RH step by employing an analytic solution corresponding to the sample type: plane sheet for both powder bed and tablet considered as porous media and finite cylinder for a population of particles. The impact of the initial cellulose sample mass was also investigated. Water vapor diffusivity values varied from 6 × 10−15 to 4 × 10−10 m2 s−1 depending on the sample mass, sample preparation mode, analytic solution and/or sample porosity. The DVS-based methodology was compared to the value obtained from QCM measurements.
Keywords
Diffusion coefficient Water vapor Vegetal particle Dynamic vapor sorptionNotes
Acknowledgments
Direct costs were covered by the MALICE project (call “Chercheur d’avenir 2015”), which is co-financed by the European Regional Development Fund (FEDER) and the Languedoc-Roussillon region.
References
- Agrawal AM, Manek RV, Kolling WM, Neau SH (2004) Water distribution studies within microcrystalline cellulose and chitosan using differential scanning calorimetry and dynamic vapor sorption analysis. J Pharm Sci 93:1766–1779. https://doi.org/10.1002/jps.20085 CrossRefPubMedGoogle Scholar
- Bedane AH, Huang Q, Xiao H, Ei M (2012) Mass transfer of water vapor, carbon dioxide and oxygen on modified cellulose fiber-based materials. Nord Pulp Pap Res J 27:409CrossRefGoogle Scholar
- Crank J (1975) The mathematics of diffusion. Oxford University Press, OxfordGoogle Scholar
- Cussler EL (2009) Diffusion: mass transfer in fluid systems (Cambridge Series in Chemical Engineering). Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9780511805134 CrossRefGoogle Scholar
- Glass SV, Boardman CR, Thybring EE, Zelinka SL (2018) Quantifying and reducing errors in equilibrium moisture content measurements with dynamic vapor sorption (DVS) experiments. Wood Sci Technol 52:909–927. https://doi.org/10.1007/s00226-018-1007-0 CrossRefGoogle Scholar
- Hashemi SJ, Comes VG, Crotogino RH, Douglas WJM (1997) In-plane diffusivity of moisture in paper. Dry Technol 15:265–294. https://doi.org/10.1080/07373939708917234 CrossRefGoogle Scholar
- Kohler R, Alex R, Brielmann R, Ausperger B (2006) A new kinetic model for water sorption isotherms of cellulosic materials. Macromol Symp 244:89–96. https://doi.org/10.1002/masy.200651208 CrossRefGoogle Scholar
- Marrero TR, Mason EA (1972) Gaseous diffusion coefficients. J Phys Chem Ref Data 1:3–118. https://doi.org/10.1063/1.3253094 CrossRefGoogle Scholar
- Matthews J, Walker RL (1970) Mathematical methods of physics. W.A. Benjamin, New YorkGoogle Scholar
- Nilsson L, Wilhelmsson B, Stenstrom S (1993) The diffusion of water vapour through pulp and paper. Dry Technol 11:1205–1225. https://doi.org/10.1080/07373939308916896 CrossRefGoogle Scholar
- Paes SS, Sun S, MacNaughtan W et al (2010) The glass transition and crystallization of ball milled cellulose. Cellulose 17:693–709. https://doi.org/10.1007/s10570-010-9425-7 CrossRefGoogle Scholar
- Sauerbrey G (1959) Verwendung von schwingquarzen zur wägung dünner schichten und zur mikrowägung. Z Physik 155:206–222. https://doi.org/10.1007/BF01337937 CrossRefGoogle Scholar
- Schmidt SJ, Lee JW (2012) Comparison between water vapor sorption isotherms obtained using the new dynamic dewpoint isotherm method and those obtained using the standard saturated salt slurry method. Int J Food Prop 15:236–248. https://doi.org/10.1080/10942911003778014 CrossRefGoogle Scholar
- Shafiur Rahman M, Hamed Al-Belushi R (2006) Dynamic Isopiestic Method (DIM): measuring moisture sorption isotherm of freeze-dried garlic powder and other potential uses of DIM. Int J Food Prop 9:421–437. https://doi.org/10.1080/10942910600596134 CrossRefGoogle Scholar
- Thoury-Monbrun V, Gaucel S, Rouessac V et al (2018a) Assessing the potential of quartz crystal microbalance to estimate water vapor transfer in micrometric size cellulose particles. Carbohydr Polym 190:307–314. https://doi.org/10.1016/j.carbpol.2018.02.068 CrossRefPubMedGoogle Scholar
- Thoury-Monbrun V, Angellier-Coussy H, Guillard V et al (2018b) Impact of two-dimensional particle size distribution on estimation of water vapor diffusivity in micrometric size cellulose particles. Materials 11:1712. https://doi.org/10.3390/ma11091712 CrossRefPubMedCentralGoogle Scholar