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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 5
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Original Articles

A new benchmark reference solution for double-diffusive convection in a heterogeneous porous medium

Qian ShaoLaboratoire Hydrologie et Geochemie de Strasbourg, University of Strasbourg/EOST/ENGEES, CNRS, Strasbourg, France;Laboratoire Physique et Ingénierie Mathématique pour l’Énergie, l’environnement et le bâtiment, Université de La Réunion, Moufia, La Réunion, France
,
Marwan FahsLaboratoire Hydrologie et Geochemie de Strasbourg, University of Strasbourg/EOST/ENGEES, CNRS, Strasbourg, FranceCorrespondence[email protected]
,
Anis YounesLaboratoire Hydrologie et Geochemie de Strasbourg, University of Strasbourg/EOST/ENGEES, CNRS, Strasbourg, France;IRD UMR LISAH, Montpellier, France;Laboratoire de Modélisation en Hydraulique et Environnement, Ecole Nationale d’Ingénieurs de Tunis, Tunis, Tunisia
,
Ahmed MakradiLuxembourg Institute of Science and Technology, Esch-sur-Alzette, Luxembourg
&
Thierry MaraLaboratoire Physique et Ingénierie Mathématique pour l’Énergie, l’environnement et le bâtiment, Université de La Réunion, Moufia, La Réunion, France
Pages 373-392 | Received 22 Mar 2016, Accepted 23 Jun 2016, Published online: 26 Sep 2016

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Yazhou Wang & Guoliang Qin. (2019) Accurate numerical simulation for non-Darcy double-diffusive mixed convection in a double lid-driven porous cavity using SEM. Numerical Heat Transfer, Part A: Applications 75:9, pages 598-615.
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Peng Du, Qingwen Xiong, Jianqiang Shan, Jian Deng, Wei Chen, Tao Huang & Zenghui Wu. (2022) Development and application of 3D pool-type sodium cooled fast reactor system analysis program. Progress in Nuclear Energy 144, pages 104027.
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Peng Du, Jianqiang Shan, Jian Deng, Qingwen Xiong, Zhongchun Li & Peng Yuan. (2022) Model development and transient analysis of thermal stratification phenomenon in pool-type sodium-cooled fast reactors. Annals of Nuclear Energy 166, pages 108738.
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D. Damene, Z. Alloui, I. Alloui & P. Vasseur. (2021) Variable Permeability Effects on Natural Convection in a Vertical Porous Layer with Uniform Heat Flux from the Side. Transport in Porous Media 137:2, pages 287-306.
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Graham Baird, Raimund Bürger, Paul E. Méndez & Ricardo Ruiz-Baier. (2021) Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters. Numerische Mathematik 147:2, pages 431-479.
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Mohammad Mahdi Rajabi, Marwan Fahs, Aref Panjehfouladgaran, Behzad Ataie-Ashtiani, Craig T. Simmons & Benjamin Belfort. (2020) Uncertainty quantification and global sensitivity analysis of double-diffusive natural convection in a porous enclosure. International Journal of Heat and Mass Transfer 162, pages 120291.
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Sara Tabrizinejadas, Marwan Fahs, Behzad Ataie‐Ashtiani, Craig T. Simmons, Raphaël Chiara Roupert & Anis Younes. (2020) A Fourier Series Solution for Transient Three‐Dimensional Thermohaline Convection in Porous Enclosures. Water Resources Research 56:11.
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M.A. Marazuela, C. Ayora, E. Vázquez-Suñé, S. Olivella & A. García-Gil. (2020) Hydrogeological constraints for the genesis of the extreme lithium enrichment in the Salar de Atacama (NE Chile): A thermohaline flow modelling approach. Science of The Total Environment 739, pages 139959.
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I.S. Shivakumara, K.R. Raghunatha & G. Pallavi. (2020) Intricacies of coupled molecular diffusion on double diffusive viscoelastic porous convection. Results in Applied Mathematics 7, pages 100124.
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Marwan Fahs, Thomas Graf, Tuong Vi Tran, Behzad Ataie-Ashtiani, Craig. T. Simmons & Anis Younes. (2019) Study of the Effect of Thermal Dispersion on Internal Natural Convection in Porous Media Using Fourier Series. Transport in Porous Media 131:2, pages 537-568.
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Noreen, Waheed, Hussanan & Lu. (2019) Entropy Analysis in Double-Diffusive Convection in Nanofluids through Electro-osmotically Induced Peristaltic Microchannel. Entropy 21:10, pages 986.
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Raimund Bürger, Paul E. Méndez & Ricardo Ruiz-Baier. (2019) On $H(div)$-conforming Methods for Double-diffusion Equations in Porous Media. SIAM Journal on Numerical Analysis 57:3, pages 1318-1343.
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Jie Yang, Michel Potier-Ferry & Heng Hu. (2019) Solving the stationary Navier–Stokes equations by using Taylor meshless method. Engineering Analysis with Boundary Elements 98, pages 8-16.
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Qian Shao, Marwan Fahs, Hussein Hoteit, Jesus Carrera, Philippe Ackerer & Anis Younes. (2018) A 3‐D Semianalytical Solution for Density‐Driven Flow in Porous Media. Water Resources Research 54:12.
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Yazhou Wang, Guoliang Qin, Wenqiang He & Zhenzhong Bao. (2018) Chebyshev spectral element method for natural convection in a porous cavity under local thermal non-equilibrium model. International Journal of Heat and Mass Transfer 121, pages 1055-1072.
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Behshad Koohbor, Marwan Fahs, Behzad Ataie-Ashtiani, Craig T. Simmons & Anis Younes. (2018) Semianalytical solutions for contaminant transport under variable velocity field in a coastal aquifer. Journal of Hydrology 560, pages 434-450.
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Akil J. Harfash & Huda A. Challoob. (2018) Slip boundary conditions and through flow effects on double-diffusive convection in internally heated heterogeneous Brinkman porous media. Chinese Journal of Physics 56:1, pages 10-22.
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Noura Fajraoui, Marwan Fahs, Anis Younes & Bruno Sudret. (2017) Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity. International Journal of Heat and Mass Transfer 115, pages 205-224.
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Qian Shao, Anis Younes, Marwan Fahs & Thierry A. Mara. (2017) Bayesian sparse polynomial chaos expansion for global sensitivity analysis. Computer Methods in Applied Mechanics and Engineering 318, pages 474-496.
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