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Drying Technology
An International Journal
Volume 29, 2011 - Issue 16: Selected Papers Presented at the 17th International Drying Symposium (IDS2010), Part 2
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Original Articles

Modelling Non-Fickian Behavior in the Cell Walls of Wood Using a Fractional-In-Space Diffusion Equation

I. Turner Mathematical Sciences, QUT, Brisbane, Queensland, AustraliaCorrespondence[email protected]
,
M. Ilic Mathematical Sciences, QUT, Brisbane, Queensland, Australia
&
P. Perré AgroParisTech, LERFoB, ENGREF, Nancy, France; INRA, LERFoB, Nancy, France
Pages 1932-1940 | Published online: 04 Oct 2011

Citations (16)

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Thomas Busser, Julien Berger, Amandine Piot, Mickael Pailha & Monika Woloszyn. (2019) Comparison of model numerical predictions of heat and moisture transfer in porous media with experimental observations at material and wall scales: An analysis of recent trends. Drying Technology 37:11, pages 1363-1395.
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Articles from other publishers (15)

Libo Feng, Ian Turner, Timothy Moroney & Fawang Liu. (2023) Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains. Communications in Nonlinear Science and Numerical Simulation 125, pages 107368.
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Xiang Chi, Sai Tang, Xiaoxue Song, Ren Zechun, Gangping Han, Wanli Cheng & Stavros Avramidis. (2023) Visible dynamic changes in the mechanism of water evaporation surface formation during wood drying. Wood Science and Technology.
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Libo Feng, Ian Turner, Patrick Perré & Kevin Burrage. (2023) The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. Journal of Computational Physics 480, pages 112020.
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Gustavo S. Matias, Fernando H. Lermen, Camila Matos, Douglas J. Nicolin, Clovis Fischer, Diogo F. Rossoni & Luis M.M. Jorge. (2023) A model of distributed parameters for non-Fickian diffusion in grain drying based on the fractional calculus approach. Biosystems Engineering 226, pages 16-26.
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Libo Feng, Ian Turner, Timothy Moroney & Fawang Liu. (2022) An investigation of space distributed-order models for simulating anomalous transport in a binary medium. Applied Mathematics and Computation 434, pages 127423.
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Gustavo de Souza Matias, Fernando Henrique Lermen, Camila Andressa Bissaro, Douglas Júnior Nicolin, Clovis Fischer & Luiz Mário de Matos Jorge. (2022) Fractional calculus to control transport phenomena in food engineering: A systematic review of barriers and data agenda. Journal of Food Process Engineering 45:8.
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Libo Feng, Ian Turner, Patrick Perré & Kevin Burrage. (2021) An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Communications in Nonlinear Science and Numerical Simulation 92, pages 105454.
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Ian W. Turner. Multiscale modelling approaches for simulating transport phenomena in heterogeneous porous media. Multiscale modelling approaches for simulating transport phenomena in heterogeneous porous media.
Fanhai Zeng, Ian Turner, Kevin Burrage & Stephen J. Wright. (2019) A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. Journal of Computational Physics 394, pages 177-199.
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Aimin Chen, Fawang Liu & Ian Turner. (2019) WITHDRAWN: Unstructured mesh finite volume methods for fractional-in-space nonlinear reaction–diffusion equations on irregular domains. Journal of Computational and Applied Mathematics.
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Chen Aimin. (2017) Numerical analysis of fractional-in-space FitzHugh Nagumo model with finite volume method. Numerical analysis of fractional-in-space FitzHugh Nagumo model with finite volume method.
Megan E. Farquhar, Timothy J. Moroney, Qianqian Yang & Ian W. Turner. (2016) GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion. SIAM Journal on Scientific Computing 38:3, pages C127-C149.
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Alex Simmons, Qianqian Yang & Timothy Moroney. (2015) A preconditioned numerical solver for stiff nonlinear reaction–diffusion equations with fractional Laplacians that avoids dense matrices. Journal of Computational Physics 287, pages 254-268.
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Timothy Moroney & Qianqian Yang. (2013) Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners. Journal of Computational Physics 246, pages 304-317.
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R. Simpson, A. Jaques, H. Nuñez, C. Ramirez & A. Almonacid. (2012) Fractional Calculus as a Mathematical Tool to Improve the Modeling of Mass Transfer Phenomena in Food Processing. Food Engineering Reviews 5:1, pages 45-55.
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