Relevant bibliographies by topics / 1D diffusion model

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic '1D diffusion model'

Author: Grafiati
Published: 8 June 2024
Last updated: 31 July 2025

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Journal articles on the topic "1D diffusion model"

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Kim, Hongchul, and Seon-Gyu Kim. "SATURATION ASSUMPTIONS FOR A 1D CONVECTION-DIFFUSION MODEL." Korean Journal of Mathematics 22, no. 4 (2014): 599–609. http://dx.doi.org/10.11568/kjm.2014.22.4.599.

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Baro, M., N. Ben Abdallah, P. Degond, and A. El Ayyadi. "A 1D coupled Schrödinger drift-diffusion model including collisions." Journal of Computational Physics 203, no. 1 (2005): 129–53. http://dx.doi.org/10.1016/j.jcp.2004.08.009.

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Xu, Yinsheng, Yuhao Xu, Xue Han, Shengping Wang, and Jingxian Yu. "From 1D to 1D–2D–1D: new insights into Li+ diffusion behavior in optimized MnO2 with the cooperative effect of tunnel and interface." Journal of Materials Chemistry A 9, no. 43 (2021): 24397–405. http://dx.doi.org/10.1039/d1ta05108c.

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Larsson, Henrik, and Lars Höglund. "Multiphase diffusion simulations in 1D using the DICTRA homogenization model." Calphad 33, no. 3 (2009): 495–501. http://dx.doi.org/10.1016/j.calphad.2009.06.004.

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Tchedre, Esso-Ehanam, Boubacar Soro, Guy Serge Tchouadep, Mahamadi Savadogo, Issa Zerbo, and Martial Zoungrana. "Impact of Simulation Model and Grain Size on the Bifacial Gain of a Silicon Solar Cell." Advances in Image and Video Processing 12, no. 5 (2024): 194–203. https://doi.org/10.14738/aivp.125.17604.

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The characterisation of the performance of a bifacial silicon cell in a simulation study is carried out through different simulation models. These are the one-dimensional (1D) model, the classical three-dimensional model using constant diffusion parameters and the empirical 3D model which uses diffusion parameters varying with grain size. For each of these models, by comparing the electrical parameters of the solar cell subjected to front side illumination and then to double illumination, the different bifacial gains are obtained and then compared to each other. This study revealed a tendency
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Elhareef, Mohamed, Zeyun Wu, and Massimiliano Fratoni. "A Consistent One-Dimensional Multigroup Diffusion Model for Molten Salt Reactor Neutronics Calculations." Journal of Nuclear Engineering 4, no. 4 (2023): 654–67. http://dx.doi.org/10.3390/jne4040041.

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Molten Salt Reactors (MSRs) have recently gained resurged research and development interest in the advanced reactor community. Several computational tools are being developed to capture the strong neutronics/thermal-hydraulics coupling effect in this special reactor configuration. This paper presents a consistent one-dimensional (1D) multigroup neutron diffusion model for MSR analysis, with the primary aim for fast and accurate calculations for long transients, as well as sensitivity and uncertainty analysis of the reactor. A fictitious radial leakage cross section is introduced in the model t
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Voges, Jannik, Iryna Smokovych, Fabian Duvigneau, Michael Scheffler, and Daniel Juhre. "Modeling the oxidation of a polymer-derived ceramic with chemo-mechanical coupling and large deformations." Acta Mechanica 233, no. 2 (2022): 701–23. http://dx.doi.org/10.1007/s00707-021-03142-x.

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AbstractTo get a better insight into the coating behavior of a polymer-derived ceramic material, we model and simulate the diffusion, oxidation and reaction-induced volume expansion of a specimen without outer mechanical loads. In this macroscale approach, we use an oxidation state variable which determines the composition of the starting material and the oxide material. The model contains a reaction rate which is based on the change of the free energy due to a change of the concentrations of the starting material, the oxide material and a diffusing gaseous material. Using this, we model a gro
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Navalho, J. E. P., J. M. C. Pereira, and J. C. F. Pereira. "Multi-Scale Modeling of Internal Mass Diffusion Limitations in CO Oxidation Catalysts." Defect and Diffusion Forum 364 (June 2015): 92–103. http://dx.doi.org/10.4028/www.scientific.net/ddf.364.92.

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This work applies a 3D multi-scale bottom-up approach for modeling the processes of diffusion and reaction-diffusion in porous catalyst layers. The performance of the random pore model to predict effective transport coefficients are compared with the results of the multi-scale diffusion model. The results of the 3D multi-scale diffusion model are employed in a 1D pseudo-homogeneous reaction-diffusion model with a relative good agreement with the 3D multi-scale reaction-diffusion model. Furthermore, the former multi-scale model was coupled to a full-scale reactor model with good results and hig
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Herrero-Durá, Iván, Alejandro Cebrecos, Rubén Picó, Vicente Romero-García, Luis Miguel García-Raffi, and Víctor José Sánchez-Morcillo. "Sound Absorption and Diffusion by 2D Arrays of Helmholtz Resonators." Applied Sciences 10, no. 5 (2020): 1690. http://dx.doi.org/10.3390/app10051690.

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We report a theoretical and experimental study of an array of Helmholtz resonators optimized to achieve both efficient sound absorption and diffusion. The analysis starts with a simplified 1D model where the plane wave approximation is used to design an array of resonators showing perfect absorption for a targeted range of frequencies. The absorption is optimized by tuning the geometry of the resonators, i.e., by tuning the viscothermal losses of each element. Experiments with the 1D array were performed in an impedance tube. The designed system is extended to 2D by periodically replicating th
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Holmas, H., T. Sira, M. Nordsveen, H. P. Langtangen, and R. Schulkes. "Analysis of a 1D incompressible two-fluid model including artificial diffusion." IMA Journal of Applied Mathematics 73, no. 4 (2007): 651–67. http://dx.doi.org/10.1093/imamat/hxm066.

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Dissertations / Theses on the topic "1D diffusion model"

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Sebastian, Ahlberg. "A Monte Carlo study of the particle mobility in crowded nearly one-dimensional systems." Thesis, Umeå universitet, Institutionen för fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-92769.

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The study of crowding effects on particle diffusion is a large subject with implications in many scientific areas. The studies span from pure theoretical calculations to experiments actually measuring the movement of proteins diffusing in a cell. Even though the subject is important and has been studied heavily there are still aspects not fully understood.   This report describes a Monte Carlo simulation approach (Gillespie algorithm) to study the effects of crowding on particle diffusion in a quasi one-dimensional system. With quasi meaning that the particles diffuses on a one-dimensional lat
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Sridhar, Sundaresan. "Study of tokamak plasma disruptions and runaway electrons in a metallic environment." Electronic Thesis or Diss., Aix-Marseille, 2020. http://www.theses.fr/2020AIXM0313.

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Les dispositifs de fusion de type tokamaks ont atteint des performances proches de celles nécessaires à réacteur industriel de fusion et les disruptions sont des événements majeurs dans lesquels l'énergie du plasma est perdue en un très court instant. Electrons découplés (RE), de par leur énergie (quelques 10ème\,MeV), peuvent endommager des composants internes du tokamak. La stratégie actuelle consiste à éviter la génération de RE à l’aide d’une injection massive de matière (MMI). Si leur génération ne peut pas être évitée, une 2ème MMI sera utilisée pour atténuer le faisceau d’électrons déco
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Carreira, Ferreira Sonia. "Modélisation du transport intragranulaire dans un réacteur catalytique." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSE1002/document.

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L'activité chimique des catalyseurs a longuement été le coeur des travaux R&D, conduisant à une influence accrue des limitations diffusionnelles internes. Il est donc important de quantifier et modéliser ces limitations dans le but d'optimiser la conception et les performances des catalyseurs.Dans le cadre de notre projet, en s'appuyant sur une approche de Monte Carlo, des réseaux aléatoires en 2D ou 3D, constitués par des pores cylindriques interconnectés, sont générés de façon à reproduire la porosité, la surface spécifique et le volume poreux des supports d'alumine-gamma. Cet outil est
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Book chapters on the topic "1D diffusion model"

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Allafi, Walid, Ivan Zajic, and Keith J. Burnham. "Identification of Fractional Order Models: Application to 1D Solid Diffusion System Model of Lithium Ion Cell." In Progress in Systems Engineering. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-08422-0_9.

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"Bio and Chemical Applications of the ODE BVP and 1D PDE Solvers." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2024. https://doi.org/10.4018/978-1-6684-6850-0.ch010.

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Problems arising in chemical and biological sciences and technologies are modeled by ordinary and/or partial differential equations. The chapter demonstrates how to solve a number of such problems using the ode45/15s, bvp4c, and pdepe commands. Among the differential equations that are solved in the chapter with these tools are a set of two ODEs describing the behavior of the bacteria-nutrient population, two concentration-temperature ODEs describing oscillation process in a continuous-stirred-tank reactor, DAE system of seven equations of a chemical reaction model, BVP for diffusion with reac
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Kamagata, Kiyoto. "A Study of p53 Action on DNA at the Single Molecule Level." In P53 - A Guardian of the Genome and Beyond [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.96163.

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The transcription factor p53 searches for and binds to target sequences within long genomic DNA, to regulate downstream gene expression. p53 possesses multiple disordered and DNA-binding domains, which are frequently observed in DNA-binding proteins. Owing to these properties, p53 is used as a model protein for target search studies. It counters cell stress by utilizing a facilitated diffusion mechanism that combines 3D diffusion in solution, 1D sliding along DNA, hopping/jumping along DNA, and intersegmental transfer between two DNAs. Single-molecule fluorescence microscopy has been used to c
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Kamiński, Marcin, and Rafał Leszek Ossowski. "Reaction-Diffusion Problems with Stochastic Parameters Using the Generalized Stochastic Finite Difference Method." In Advances in Computational Intelligence and Robotics. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-4991-0.ch010.

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The main aim of this work is to demonstrate the new stochastic discrete computational methodology consisting of the generalized stochastic perturbation technique and of the classical Finite Difference Method for the regular grids to model reaction-diffusion problems with random time series. The generalized stochastic perturbation approach is based on the given order Taylor expansion of all random variables. A numerical algorithm is implemented here using the Direct Differentiation Method of the reaction-diffusion equation with respect to the height of a channel in 1D problem; further symbolic
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Pineda-Sanchez M., Chinesta F., Roger-Folch J., Riera-Guasp M., Perez-Cruz J., and Daïm F. "Skin Effect in a Rectangular Slot via the Method of Separation of Variables." In Studies in Applied Electromagnetics and Mechanics. IOS Press, 2010. https://doi.org/10.3233/978-1-60750-604-1-292.

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The use of separated representations is a promising approach that allows the simulation of systems intractable nowadays by a brute force approach, such as kinetic theory models of fluids, or transient multiscale models. In this paper, this approach is applied to the 1D diffusion problem of the transient current in a rectangular slot of an induction machine. Instead of solving multiple field problems, one for each time instant, the proposed method just solves two single-variable differential equations, one in the time domain and other in the spatial one. The results are compared with the analyt
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Redolfi, M., and M. Tubino. "A diffusive 1D model for the evolution of a braided network subject to varying sediment supply." In River Flow 2014. CRC Press, 2014. http://dx.doi.org/10.1201/b17133-155.

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Conference papers on the topic "1D diffusion model"

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Joshi, Gaurav R., Remy Mingant, Jean Kittel, Jitender Rai, and Carol Taravel-Condat. "Corrosion Prediction in Perforated Polymer Lined Pipelines (PLP) Used for Oil & Gas Transportation." In CONFERENCE 2024. AMPP, 2024. https://doi.org/10.5006/c2024-20954.

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Abstract The perforated polymer-lined pipeline (PLP) is a rigid carbon steel pipeline with internal polymer liner for internal corrosion prevention. The liner is perforated to prevent liner collapse during depressurization. Although the perforations expose the carbon steel to the corrosion fluids within the bore of the pipeline, extensive small-scale and full-scale tests have demonstrated that corrosion at the bottom of each perforation is much less than the corrosion in an un-lined carbon steel pipeline. Based on experience gained on the evaluation and modelling of corrosion in the highly con
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Schafer, Maximilian, and Rudolf Rabenstein. "A transfer function model for 1D diffusion processes." In 2017 10th International Workshop on Multidimensional (nD) Systems (nDS). IEEE, 2017. http://dx.doi.org/10.1109/nds.2017.8070620.

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Loya, Sudarshan, and Christopher Depcik. "Modifying the Classical 1D Catalyst Model to Include Axial Conduction and Diffusion." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85740.

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Lean NOx Trap (LNT) catalytic aftertreatment devices are one potential option for the reduction of oxides of nitrogen (NOx) in the exhaust of Compression Ignition engines. They work through a controlled modulation between a storage phase that captures NOx over an alkali earth metal and a regeneration phase that reduces the stored nitrates on the surface using a rich pulse of injected fuel or via stoichiometric engine operation. This rich phase has an associated fuel penalty while being relatively difficult to control through temperature and chemical species. In order to improve system efficien
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Skopec, Pavel, Tomas Vyhlidal, and Jan Knobloch. "Reduced model of boundary value dynamics of 1D diffusion - application to heat conduction." In 2021 23rd International Conference on Process Control (PC). IEEE, 2021. http://dx.doi.org/10.1109/pc52310.2021.9447522.

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Zhang, J. "A coupled thermo-mechanical and neutron diffusion numerical model for irradiated concrete." In AIMETA 2022. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902431-4.

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Abstract: Neutron irradiation plays an important role in nuclear-induced degradation for concrete shielding materials, specifically in determining the radiation induced volume expansion (RIVE) phenomenon driving its failure. When analyzing at the structural level the effects of nuclear radiation on concrete, a non-uniformed distribution of neutron radiation must be considered. This can be done via particle transport calculations preventive to the thermo-mechanic study, or by solving numerically the coupled set of governing equations of the problem. In this work the second approach is pursued i
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Muratori, Matteo, Ning Ma, Marcello Canova, and Yann Guezennec. "A 1+1D Thermal Dynamic Model of a Li-Ion Battery Cell." In ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4199.

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Li-ion batteries are today considered the prime solution as energy storage system for EV/PHEV/HEV, due to their high specific energy and power. Since their performance, life and reliability are influenced by the operating temperature, great interest has been devoted to study different cooling solutions and control algorithms for thermal management. In this context, this paper presents a computationally efficient modeling approach to characterize the internal temperature distribution of a Li-ion battery cell, conceived to serve as a tool to aid the design of cooling systems and the development
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Asle-Zaeem, Mohsen, and Sinisa Dj Mesarovic. "Finite Element Modeling of a Diffusion-Controlled Phase Transformation in Thin Film." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66767.

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We derive and implement a finite element (FE) model for stress-mediated diffusion and phase transformation in thin films. The partial differential equations governing diffusion and mechanical equilibrium are of different order. To ensure uniform convergence of the FE method, the continuity class of respective interpolation functions must be different. We test our implementation on a 1D problem and demonstrate the validity of the approach.
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He, Jinglin, and Song-Yul Choe. "Modeling a Two-Phase Control-Oriented Transient Model of a Single PEM Fuel Cell." In ASME 2010 8th International Conference on Fuel Cell Science, Engineering and Technology. ASMEDC, 2010. http://dx.doi.org/10.1115/fuelcell2010-33310.

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This paper proposed a 1D non-isothermal control-oriented transient model of PEM fuel cell unit considering the two-phase water dynamics in gas flow channel, gas diffusion layer, catalyst layer and membrane. It is known that the accumulated liquid water in the gas flow channels can block the transport path in the gas diffusion layer for the reactant gases and degrade the performance of the fuel cell, while the proper water amount in the gas flow channels and other layers can help to maintain high proton conductivity in the membrane. The I-V curve and the change of gas concentrations, liquid wat
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Liu, Dehao, Gang Wang, Zhenguo Nie, and Yiming (Kevin) Rong. "Numerical Simulation of the Austenitizing Process in Hypoeutectoid Fe-C Steels." In ASME 2014 International Manufacturing Science and Engineering Conference collocated with the JSME 2014 International Conference on Materials and Processing and the 42nd North American Manufacturing Research Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/msec2014-3948.

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For predicting of diffusive phase transformations during the austenitizing process in hypoeutectoid Fe-C steels, a two-dimensional model has been developed. The diffusion equations are solved within each phase (α and γ) using an explicit finite volume technique formulated using a square grid. The discrete α/γ interface is represented by special volume elements α/γ. The result showing the dissolution of ferrite particles in the austenite matrix are presented at different stages of the phase transformation. Specifically, the influence of the microstructure scale and heating rate on the transform
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Schor, Alisha R., and H. Harry Asada. "Approximating a MIMO, 1D Diffusion System to a Low Order, State-Space Form in Order to Facilitate Controller Design." In ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4071.

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Chemical distribution is an important factor in many biological systems, driving the phenomenon known as chemotaxis. In order to properly study the effects of various chemical inputs to an in vitro biological assay, it is necessary to have strict control over the spatial distribution of these chemicals. This distribution is typically governed by diffusion, which by nature is a distributed parameter system (DPS), dependent on both space and time. Much study and literature within the controls community has been devoted to DPS, whose dynamics are marked by partial differential equations or delays
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