Application of physics-informed neural networks for two-phase flow model with variable diffusion and experimental validation by Daulet Kalesh, Timur Merembayev, Sagyn Omirbekov, Yerlan Amanbek

“…We have found that adapting the spatial-dependent diffusion function provided better accuracy with the experimental data compared to using a constant diffusion coefficient.…”
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Geometric thermodynamics of reaction-diffusion systems: Thermodynamic trade-off relations and optimal transport for pattern formation by Ryuna Nagayama, Kohei Yoshimura, Artemy Kolchinsky, Sosuke Ito

“…Our results apply to general reaction-diffusion systems and contribute to understanding the relations between pattern formation and unavoidable dissipation.…”
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Theoretical Performance Study of a Novel Diffusion Absorption Heat Transformer Driven by a Jet Pump by Shikuan Wang, Zhaojie Wu, Shaoqiu Jiang, Yuncheng Li, Hongtao Gao

“…In the novel cycle, without electricity consumption, the diffusant gas was used as the primary flow of the jet pump to transport the solution, and the diffusion generation of the refrigerant was realized in the jet pump for more efficient and stable thermal energy upgrading. …”
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Assessment of Enzymatically Derived Blackcurrant Extract as Cosmetic Ingredient—Antioxidant Properties Determination and In Vitro Diffusion Study by Anja Petrov Ivanković, Marija Ćorović, Ana Milivojević, Stevan Blagojević, Aleksandra Radulović, Rada Pjanović, Dejan Bezbradica

“…Obtained extract was characterized in terms of anthocyanin composition, incorporated into three different cosmetic formulations and subjected to Franz cell diffusion study. Experimental values obtained using cellulose acetate membrane for all four dominant anthocyanins (delphinidin 3-glucoside, delphinidin 3-rutinoside, cyanidin 3-glucoside and cyanidin 3-rutinoside) were successfully fitted with the Korsmeyer–Peppas diffusion model. …”
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Numerical simulation of hydrogen leakage diffusion in a small underground garage with different parking space modes by Peng Cui, Gang Tao, Lijing Zhang, Chen Zhao

“…Specifically, after leakage cessation, increasing ventilation openings efficiently shortens the time required for hydrogen levels to drop to safe limits within the garage. …”
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Denoising Diffusion Probabilistic Model for Realistic and Fast Generated Euclid-like Data for Weak Lensing Analysis by Diana Scognamiglio, Jake H. Lee, Eric Huff, Sergi R. Hildebrandt, Shoubaneh Hemmati

“…Generating such a large and realistic data set efficiently is feasible using advanced generative models like denoising diffusion probabilistic models. …”
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A Numerical Study on the Design of a Diffuser Nozzle for Pulsed-Jet Cleaning of Cone Filter Cartridges by Bin Yang, Jianwu Chen, Jianlong Li, Wenjun Xie, Quanquan Wu, Da You, Shan Huang, Shukai Sun, Zhongan Jiang

“…The problem of poor dust removal restricts the efficient and stable operation of the dust collector. …”
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Potential of composite adsorbent comprising peat, limestone, zeolite, and activated carbon for the treatment of diffused soluble contaminants by Amir Detho, Mohd Arif Rosli, Nejib Ghazouani, Abdelkader Mabrouk, Ahmed Babeker Elhag, Aeslina Abdul Kadir, Zawawi Daud, Hesham Hussein Rassem

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Computational Fluid Dynamics Studies on a Centrifugal Compressor Stage with Twisted Vanes of a Low Solidity Diffuser by P. Venkateswara Rao, V. R. Govindaraju, K. Venkateswarlu, M. Bhanu Kumari

“…The results show that adding twist to the diffuser vane improves both the compressor stage efficiency and its operating range at a 24° setting angle, regardless of the twist angle. …”
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Investigating the Impact of Structural Features on F1 Car Diffuser Performance Using Computational Fluid Dynamics (CFD) by Eugeni Pérez Nebot, Antim Gupta, Mahak Mahak

“…This research emphasizes the critical role of vortex management in preventing flow detachment and improving diffuser efficiency. The findings offer valuable insights for potential FIA F1 2023 undertray regulation changes, with implications for faster lap times and heightened competitiveness in motorsports.…”
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The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue by Lazhar Bougoffa

“…The study confirms the accuracy and efficiency of the algorithm for analytic approximate solutions of this problem.…”
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Impacts of diffusion and chemical reaction on heat transfer in Casson nanofluids flow over a flat plate with accretion by J. Jayaprakash, Vediyappan Govindan

“…Purpose:: This research aims to understand the application of Casson nanofluids with diffusion and chemical reactions in accretion, ultimately contributing to the development of more efficient and resilient materials for high-temperature environments. …”
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Solving Steady-state Mono-energy Neutron Diffusion Solution Set with Parameterized Physics-informed Neural Network by XIE Yuchen, MA Yu, WANG Yahui

“…This surrogate model is highly flexible and efficient, capable of quickly providing solutions to any given parameter neutron diffusion problem without the need for sample data. …”

Evaluating Nanofiltration and Reverse Osmosis Membranes for Pharmaceutically Active Compounds Removal: A Solution Diffusion Model Approach by Yonghyun Shin, Tae-Mun Hwang, Sook-Hyun Nam, Eunju Kim, JeongBeen Park, Yong-Jun Choi, Homin Kye, Jae-Wuk Koo

“…NF membranes exhibited high permeate flux with somewhat lower removal efficiency (average 84.17%), while RO membranes demonstrated high removal efficiency (average 99.21%), highlighting their importance in trace pharmaceutical treatment. …”
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A Posteriori Error Estimates for Hughes Stabilized SUPG Technique and Adaptive Refinement for a Convection-Diffusion Problem by Brehmit Kaur, Vivek Sangwan

“…Numerical experiments have been performed to test the efficiency of the proposed algorithm.…”
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Exploring sustainability oriented innovations in tourism: insights from ecological modernization, diffusion of innovations, and the triple bottom line by Muhammad Fikry Aransyah, Bambang Hermanto, Anang Muftiadi, Hera Oktadiana

“…Economically, SOIs improve financial performance, operational efficiency, and competitiveness while generating revenue through green certifications and eco-labels. …”
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Local Discontinuous Galerkin Methods Coupled with Implicit Integration Factor Methods for Solving Reaction-Cross-Diffusion Systems by Na An, Xijun Yu, Chaobao Huang, Maochang Duan

“…We present a new numerical method for solving nonlinear reaction-diffusion systems with cross-diffusion which are often taken as mathematical models for many applications in the biological, physical, and chemical sciences. …”
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Mathematical and Experimental Simulation of Operating Modes of Capillary Emitter of Electrostatic Colloidal Microthruster by S. V. Redko, E. B. Chubenko, V. P. Bondarenko, I. V. Nikiforov, M. S. Krakov

“…To explain the limit of emission intensity, a diffusion-convective model of ion movement inside the capillary was constructed. …”
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Carbonic Anhydrase: An Efficient Enzyme with Possible Global Implications by Christopher D. Boone, Sonika Gill, Andrew Habibzadegan, Robert McKenna

“…CAs are among the fastest enzymes known, which have a maximum catalytic efficiency approaching the diffusion limit of 108 M−1s−1. …”
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Study on the Unsteady Pressure Fluctuations and Radial Forces in a Vaned-Diffuser Heavy-Liquid-Metal Centrifugal Pump by Xudan Ma, Hui Sheng, Chenyang Wang, Yao Lu, Kefeng Lyu

“…The clearance between the vaned diffuser inlet and the impeller outlet has great influence on the rotor–stator interaction. …”
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