Sensitivity of Service Life Extension and CO2 Emission due to Repairs by Silane Treatment Applied on Concrete Structures under Time-Dependent Chloride Attack by Aruz Petcherdchoo

“…The service life is predicted by the Crank–Nicolson-based finite difference approach for avoiding the complexity in solving Fick’s second law. The complexity occurs due to time-dependent chloride attack and nonconstant diffusion coefficient of concrete with silane treatment. …”
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Semi-analytical approach for solving the mathematical model of solid-phase diffusion in electrodes: An application of modified differential transform method by Shivaranjini S, Neetu Srivastava

“…The problem considered is based on Fick's second law and is represented as a partial differential equation (PDE). …”
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Uptake of Photosensitizer 2-Devinyl-2-(1-methoxylethyl) Chlorin f in Human Breast Cancer Cells: A Diffusion Kinetics Study by Ping Chen, Feng Zhang, Lei Zhang, Song-Cheng Mao, Lie Lin, Hua Bai, Guo-Qing Tang, Jian-Zhong Yao, Jun-Hong Yang, Yun-Feng Ma

“…A kinetics model describing CPD4 passing through the plasma membrane of MCF-7 cells was proposed based on Fick's first law of diffusion. The kinetics of cellular uptake of CPD4 was studied by three-dimensional LSCM. …”
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Chloride Ingress in Cement Mortars Exposed to Acidithiobacillus thiooxidans Bacteria by Onesmus Mulwa Munyao, Joseph Karanja Thiong’o, Jackson Muthengia Wachira, Daniel Karanja Mutitu, Genson Murithi, Romano Mwirichia

“…Apparent diffusion coefficients (Dapp) were estimated from the solutions to Fick’s second law of diffusion. After the 56th day of curing, the microbial-treated mortars exhibited a significant reduction in compressive strength. …”
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Mass Transfer during Atmospheric and Vacuum Frying of Chorizo by Piedad Margarita Montero Castillo, Lesly Torres Díaz, Sandy Torres Díaz, Diofanor Acevedo Correa, Raúl J. Martelo Gómez

“…The kinetics of moisture loss during atmospheric and vacuum frying was studied from the analytical solution of Fick’s second law for cylinder geometry. Oil absorption was also determined using a first-order kinetic model. …”
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Study on the drying characteristics of green pellets of ultrafine iron ore concentrate by Wen B.-L., Zhang X.-P., Liu D.-L., Li J.-X., Sun X.-D., Yang J.-L.

“…The moisture diffusion coefficient and convective mass transfer coefficient increased with rising temperature and air velocity, following the order of Deff > Dcal > D*eff as determined by the Weibull distribution function, Dincer model, and Fick’s second law. Additionally, the activation energy value of ultrafine iron ore concentrate for drying derived from the Arrhenius formula was 4515.60 J/(mol·K). …”
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Influence of Pretreatments on Microwave Vacuum Drying Kinetics, Physicochemical Properties and Sensory Quality of Apple Slices by Yingqiang Wang, Hongxiao Zhao, Huiwen Deng, Xi Song, Wenjie Zhang, Sirui Wu, Jing Wang

“…As calculated according to the Fick's law of diffusion, the moisture diffusivities ( D eff ) ranged from 1.64×10 -8 to 3.46×10 - 8 m 2 /s. …”
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Biocementation Influence on Flexural Strength and Chloride Ingress by Lysinibacillus sphaericus and Bacillus megaterium in Mortar Structures by Daniel Karanja Mutitu, Jackson Muthengia Wachira, Romano Mwirichia, Joseph Karanja Thiong’o, Onesmus Mulwa Munyao, Muriithi Genson

“…From these results, the apparent diffusion coefficient, Dapp, was approximated from solutions to Fick’s 2nd Law using the error function. Bacillus megaterium mortars across all mortar categories showed lower apparent diffusion coefficient values with the lowest being 2.6456 × 10–10 while the highest value for Lysinibacillus sphaericus mortars was 2.8005 × 10–10. …”
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