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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 45, 2004 - Issue 5
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Original Articles

A TRANSIENT STUDY OF COUPLED NATURAL CONVECTION AND RADIATION IN A POROUS VERTICAL CHANNEL USING THE FINITE-VOLUME METHOD

K. Slimi Institut Préparatoire aux Etudes d'Ingénieurs, Rue Ibn Eljazzar, Monastir, Tunisia
,
L. Zili-Ghedira Rue de Kairouan, Monastir, Tunisia
,
S. Ben Nasrallah Ecole Nationale d'Ingénieurs de Monastir, Rue Ibn Eljazzar, Monastir, Tunisia
&
A. A. Mohamad Mechanical Engineering Department, Calgary, Alberta, Canada
Pages 451-478 | Received 01 Aug 2003, Accepted 01 Aug 2003, Published online: 17 Aug 2010

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Kang Luo, Zhi-Hong Cao, Hong-Liang Yi & He-Ping Tan. (2014) Convection-Radiation Interaction in 3-D Irregular Enclosures Using the Least Squares Finite Element Method. Numerical Heat Transfer, Part A: Applications 66:2, pages 165-184.
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Madhusudhana Gavara. (2012) Natural Convection in a Vertical Channel with Arrays of Flush-Mounted Heaters on Opposite Conductive Walls. Numerical Heat Transfer, Part A: Applications 62:2, pages 111-135.
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G.E. Lau, G.H. Yeoh, V. Timchenko & J.A. Reizes. (2011) Large-Eddy Simulation of Turbulent Natural Convection in Vertical Parallel-Plate Channels. Numerical Heat Transfer, Part B: Fundamentals 59:4, pages 259-287.
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Wangda Zuo, Jianjun Hu & Qingyan Chen. (2010) Improvements in FFD Modeling by Using Different Numerical Schemes. Numerical Heat Transfer, Part B: Fundamentals 58:1, pages 1-16.
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F. Juretić & A. D. Gosman. (2010) Error Analysis of the Finite-Volume Method with Respect to Mesh Type. Numerical Heat Transfer, Part B: Fundamentals 57:6, pages 414-439.
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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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AlexandreK. da Silva & Louis Gosselin. (2010) Numerical Modeling of Free-Convection in Sinuous Channels with Leveled and Unleveled Ports. Numerical Heat Transfer, Part A: Applications 57:2, pages 101-118.
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Assunta Andreozzi, Bernardo Buonomo & Oronzio Manca. (2009) Transient Natural Convection in Vertical Channels Symmetrically Heated at Uniform Heat Flux. Numerical Heat Transfer, Part A: Applications 55:5, pages 409-431.
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Ram Satish Kaluri, Tanmay Basak & S. Roy. (2009) Bejan's Heatlines and Numerical Visualization of Heat Flow and Thermal Mixing in Various Differentially Heated Porous Square Cavities. Numerical Heat Transfer, Part A: Applications 55:5, pages 487-516.
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Bittagopal Mondal & SubhashC. Mishra. (2008) Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method. Numerical Heat Transfer, Part A: Applications 55:1, pages 18-41.
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D. E. Ameziani, K. Bouhadef, R. Bennacer & O. Rahli. (2008) Analysis of the Chimney Natural Convection in a Vertical Porous Cylinder. Numerical Heat Transfer, Part A: Applications 54:1, pages 47-66.
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C. Gururaja Rao. (2007) Interaction of Surface Radiation with Conduction and Convection from a Vertical Channel with Multiple Discrete Heat Sources in the Left Wall. Numerical Heat Transfer, Part A: Applications 52:9, pages 831-848.
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Luigi Langellotto, Oronzio Manca & Sergio Nardini. (2007) Numerical Investigation of Transient Natural Convection in Air in a Convergent Vertical Channel Symmetrically Heated at Uniform Heat Flux. Numerical Heat Transfer, Part A: Applications 51:11, pages 1065-1086.
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Tanmay Basak, S. Roy & H. S. Takhar. (2007) Effects of Nonuniformly Heated Wall(S) on a Natural-Convection Flow in a Square Cavity Filled With a Porous Medium. Numerical Heat Transfer, Part A: Applications 51:10, pages 959-978.
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J. M. Zhao & L. H. Liu. (2007) Second-Order Radiative Transfer Equation and Its Properties of Numerical Solution Using the Finite-Element Method. Numerical Heat Transfer, Part B: Fundamentals 51:4, pages 391-409.
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RichardK. K. Yuen, W. K. Kwok, S. M. Lo & J. Liang. (2007) Heat and Mass Transfer in Concrete at Elevated Temperature. Numerical Heat Transfer, Part A: Applications 51:5, pages 469-494.
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J. M. Zhao & L. H. Liu. (2006) Least-Squares Spectral Element Method for Radiative Heat Transfer in Semitransparent Media. Numerical Heat Transfer, Part B: Fundamentals 50:5, pages 473-489.
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K. Slimi, A. Mhimid, M. Ben Salah, S. Ben Nasrallah, A. A. Mohamad & L. Storesletten. (2005) Anisotropy Effects on Heat and Fluid Flow by Unsteady Natural Convection and Radiation in Saturated Porous Media. Numerical Heat Transfer, Part A: Applications 48:8, pages 763-790.
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R. Riganti & L. Dal Negro. (2023) Auxiliary physics-informed neural networks for forward, inverse, and coupled radiative transfer problems. Applied Physics Letters 123:17.
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Zhongliang Shen, Zijun Zheng, Lijun Zhu, Yunxiao Gao & Mingge Wu. (2022) Optimization of blade geometry by neural network in natural convection and entropy generation of nanofluids within an oblique square cavity with the effects of volumetric radiation with LB method. Journal of Thermal Analysis and Calorimetry 147:19, pages 10827-10843.
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Abdulwahab A. Alnaqi, Saeed Aghakhani, Ahmad Hajatzadeh Pordanjani, Reza Bakhtiari, Amin Asadi & Minh-Duc Tran. (2019) Effects of magnetic field on the convective heat transfer rate and entropy generation of a nanofluid in an inclined square cavity equipped with a conductor fin: Considering the radiation effect. International Journal of Heat and Mass Transfer 133, pages 256-267.
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Donald A. Nield & Adrian BejanDonald A. Nield & Adrian Bejan. 2017. Convection in Porous Media. Convection in Porous Media 363 437 .
Gérard Degan, Christian Akowanou, Latif Fagbemi & Joël Zinsalo. (2016) Hydrodynamic Anisotropy Effects on Radiation-Mixed Convection Interaction in a Vertical Porous Channel. Applied Mathematics 07:01, pages 22-39.
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Jbara Abdesslem, Slimi Khalifa, Nasr Abdelaziz & Mhimid Abdallah. (2013) Radiative properties effects on unsteady natural convection inside a saturated porous medium. Application for porous heat exchangers. Energy 61, pages 224-233.
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Madhuchhanda Bhattacharya & Tanmay Basak. (2013) On multiple steady states for natural convection (low Prandtl number fluid) within porous square enclosures: Effect of nonuniformity of wall temperatures. International Journal of Heat and Mass Transfer 59, pages 230-246.
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Donald A. Nield & Adrian BejanDonald A. Nield & Adrian Bejan. 2013. Convection in Porous Media. Convection in Porous Media 331 396 .
K. Slimi & A. A. Saati. (2012) Entropy Generation Rate Due to Radiative Transfer Within a Vertical Channel Filled with a Semi-Transparent Porous Medium. Arabian Journal for Science and Engineering 37:3, pages 803-820.
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Bittagopal Mondal & Xianguo Li. (2010) Effect of volumetric radiation on natural convection in a square cavity using lattice Boltzmann method with non-uniform lattices. International Journal of Heat and Mass Transfer 53:21-22, pages 4935-4948.
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R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick, V. Srinivasan, K. Ghosh & R. Mittal. (2010) Heat transfer—A review of 2004 literature. International Journal of Heat and Mass Transfer 53:21-22, pages 4343-4396.
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Assunta Andreozzi, Bernardo Buonomo, Oronzio Manca & Sergio Nardini. (2010) Natural Convection in Vertical Channels with Porous Media and Adiabatic Extensions. Defect and Diffusion Forum 297-301, pages 1432-1438.
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Tanmay Basak, S. Roy, Sandeep Kumar Singh & I. Pop. (2009) Finite element simulation of natural convection within porous trapezoidal enclosures for various inclination angles: Effect of various wall heating. International Journal of Heat and Mass Transfer 52:19-20, pages 4135-4150.
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Ibrahim A. Abbas, M. F. El-Amin & Amgad Salama. (2008) Combined effect of thermal dispersion and radiation on free convection in a fluid saturated, optically thick porous medium. Forschung im Ingenieurwesen 72:3, pages 135-144.
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K. Hooman & H. Gurgenci. (2008) Effects of temperature-dependent viscosity on Bénard convection in a porous medium using a non-Darcy model. International Journal of Heat and Mass Transfer 51:5-6, pages 1139-1149.
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Elsa Báez & Alfredo Nicolás. (2006) 2D natural convection flows in tilted cavities: Porous media and homogeneous fluids. International Journal of Heat and Mass Transfer 49:25-26, pages 4773-4785.
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