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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 45, 2004 - Issue 6
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Original Articles

BUOYANT CONVECTION OF A POWER-LAW FLUID IN AN ENCLOSURE FILLED WITH HEAT-GENERATING POROUS MEDIA

Gi Bin Kim Department of Mechanical Engineering, Yusong-gu, Taejon, South Korea
&
Jae Min Hyun Department of Mechanical Engineering, Yusong-gu, Taejon, South Korea
Pages 569-582 | Received 01 Dec 2002, Accepted 01 Sep 2003, Published online: 17 Aug 2010

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R. Anandalakshmi, Tanmay Basak & Leo Lukose. (2019) Numerical visualization via heatlines for natural convection in porous bodies of rhombic shapes subjected to thermal aspect ratio-based heating of walls. Numerical Heat Transfer, Part A: Applications 76:9, pages 687-711.
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Feng Wu, Gang Wang & Wenjing Zhou. (2016) Aspect ratio effect on natural convection in a square enclosure with a sinusoidal active thermal wall using a thermal non-equilibrium model. Numerical Heat Transfer, Part A: Applications 70:3, pages 310-329.
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Feng Wu, Dilai Lu & Gang Wang. (2016) Numerical analysis of natural convection in a porous cavity with the sinusoidal thermal boundary condition using a thermal nonequilibrium model. Numerical Heat Transfer, Part A: Applications 69:11, pages 1280-1296.
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Feng Wu, Wenjing Zhou, Gang Wang, Xiaoxun Ma & Yuqi Wang. (2015) Numerical Simulation of Natural Convection in a Porous Cavity with Linearly Temperature Distributions Under the Local Thermal Nonequilibrium Condition. Numerical Heat Transfer, Part A: Applications 68:12, pages 1394-1415.
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Feng Wu, Gang Wang & Wenjing Zhou. (2015) A Thermal Nonequilibrium Approach to Natural Convection in a Square Enclosure Due to the Partially Cooled Sidewalls of the Enclosure. Numerical Heat Transfer, Part A: Applications 67:7, pages 771-790.
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Lin Tian, Cheng Ye, Shan-Hu Xue & Gang Wang. (2014) Numerical Investigation of Unsteady Natural Convection in an Inclined Square Enclosure With Heat-Generating Porous Medium. Heat Transfer Engineering 35:6-8, pages 620-629.
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D. Ramakrishna, Tanmay Basak & S. Roy. (2013) Heatlines for Visualization of Heat Transport for Natural Convection within Porous Trapezoidal Enclosures with Various Wall Heating. Numerical Heat Transfer, Part A: Applications 63:5, pages 347-372.
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D. Srinivasacharya, J. Pranitha & Ch. RamReddy. (2012) Magnetic and Double Dispersion Effects on Free Convection in a Non-Darcy Porous Medium Saturated with Power-Law Fluid. International Journal for Computational Methods in Engineering Science and Mechanics 13:3, pages 210-218.
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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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A. K. Dhiman, R. P. Chhabra & V. Eswaran. (2007) Heat Transfer to Power-Law Fluids from a Heated Square Cylinder. Numerical Heat Transfer, Part A: Applications 52:2, pages 185-201.
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L. Chiapponi, D. Petrolo, A. Lenci, V. Di Federico & S. Longo. (2020) Dispersion induced by non-Newtonian gravity flow in a layered fracture or formation. Journal of Fluid Mechanics 903.
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Sheikha M. Al-Weheibi, M. M. Rahman & M. Z. Saghir. (2019) Impacts of Variable Porosity and Variable Permeability on the Thermal Augmentation of Cu–H2O Nanofluid-Drenched Porous Trapezoidal Enclosure Considering Thermal Nonequilibrium Model. Arabian Journal for Science and Engineering 45:2, pages 1237-1251.
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Karen Rodríguez-Núñez, Edgardo Tabilo & Nelson O. Moraga. (2019) Conjugate unsteady natural heat convection of air and non-Newtonian fluid in thick walled cylindrical enclosure partially filled with a porous media. International Communications in Heat and Mass Transfer 108, pages 104304.
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Alibakhsh Kasaeian, Reza Daneshazarian, Omid Mahian, Lioua Kolsi, Ali J. Chamkha, Somchai Wongwises & Ioan Pop. (2017) Nanofluid flow and heat transfer in porous media: A review of the latest developments. International Journal of Heat and Mass Transfer 107, pages 778-791.
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Donald A. Nield & Adrian BejanDonald A. Nield & Adrian Bejan. 2017. Convection in Porous Media. Convection in Porous Media 241 361 .
Botong Li, Liancun Zheng, Ping Lin, Zhaohui Wang & Mingjie Liao. (2016) A Mixed Analytical/Numerical Method for Velocity and Heat Transfer of Laminar Power-Law Fluids. Numerical Mathematics: Theory, Methods and Applications 9:3, pages 315-336.
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Feng Wu, Gang Wang & Wenjing Zhou. (2016) Buoyancy induced convection in a porous cavity with sinusoidally and partially thermally active sidewalls under local thermal non-equilibrium condition. International Communications in Heat and Mass Transfer 75, pages 100-114.
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Feng Wu, Gang Wang & Wenjing Zhou. (2016) Numerical Study of Natural Convection in a Porous Cavity with Sinusoidal Thermal Boundary Condition. Chemical Engineering & Technology 39:4, pages 767-774.
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Feng Wu, Wenjing Zhou & Xiaoxun Ma. (2015) Natural convection in a porous rectangular enclosure with sinusoidal temperature distributions on both side walls using a thermal non-equilibrium model. International Journal of Heat and Mass Transfer 85, pages 756-771.
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D. Srinivasacharya, Ch. RamReddy, J. Pranitha & Adrian Postelnicu. (2014) Soret and Dufour Effects on Non-Darcy Free Convection in a Power-Law Fluid in the Presence of a Magnetic Field and Stratification. Heat Transfer-Asian Research 43:7, pages 592-606.
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A. Mahdy. (2014) Non-Newtonian nanofluid free convection flow subject to mixed thermal boundary conditions about a vertical cone. Journal of the Brazilian Society of Mechanical Sciences and Engineering 36:4, pages 951-960.
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Md Jashim Uddin, N H Md Yusoff, O Anwar Bég & Ahamd Izani Ismail. (2013) Lie group analysis and numerical solutions for non-Newtonian nanofluid flow in a porous medium with internal heat generation. Physica Scripta 87:2, pages 025401.
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Donald A. Nield & Adrian BejanDonald A. Nield & Adrian Bejan. 2013. Convection in Porous Media. Convection in Porous Media 221 329 .
Ching-Yang Cheng. (2012) Free convection of non-Newtonian nanofluids about a vertical truncated cone in a porous medium. International Communications in Heat and Mass Transfer 39:9, pages 1348-1353.
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Vittorio Di Federico, Renata Archetti & Sandro Longo. (2012) Similarity solutions for spreading of a two-dimensional non-Newtonian gravity current in a porous layer. Journal of Non-Newtonian Fluid Mechanics 177-178, pages 46-53.
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F. M. Hady, F. S. Ibrahim, S. M. Abdel-Gaied & M. R. Eid. (2011) Influence of yield stress on free convective boundary-layer flow of a non-Newtonian nanofluid past a vertical plate in a porous medium. Journal of Mechanical Science and Technology 25:8, pages 2043-2050.
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Siraj-ul-Islam, Božidar Šarler, Imran Aziz & Fazal-i-Haq. (2011) Haar wavelet collocation method for the numerical solution of boundary layer fluid flow problems. International Journal of Thermal Sciences 50:5, pages 686-697.
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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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Ching-Yang Cheng. (2010) Double diffusion from a vertical truncated cone in a non-Newtonian fluid saturated porous medium with variable heat and mass fluxes. International Communications in Heat and Mass Transfer 37:3, pages 261-265.
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M. Muthtamilselvan, Manab Kumar Das & P. Kandaswamy. (2009) Convection in a Lid-Driven Heat-Generating Porous Cavity with Alternative Thermal Boundary Conditions. Transport in Porous Media 82:2, pages 337-346.
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A. Mahdy & F.M. Hady. (2009) Effect of thermophoretic particle deposition in non-Newtonian free convection flow over a vertical plate with magnetic field effect. Journal of Non-Newtonian Fluid Mechanics 161:1-3, pages 37-41.
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Ching-Yang Cheng. (2009) Natural convection heat transfer of non-Newtonian fluids in porous media from a vertical cone under mixed thermal boundary conditions. International Communications in Heat and Mass Transfer 36:7, pages 693-697.
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Ching-Yang Cheng. (2009) Natural convection heat and mass transfer from a vertical truncated cone in a porous medium saturated with a non-Newtonian fluid with variable wall temperature and concentration. International Communications in Heat and Mass Transfer 36:6, pages 585-589.
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Ching-Yang Cheng. (2009) Combined heat and mass transfer in natural convection flow from a vertical wavy surface in a power-law fluid saturated porous medium with thermal and mass stratification. International Communications in Heat and Mass Transfer 36:4, pages 351-356.
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Ching-Yang Cheng. (2008) Double-diffusive natural convection along a vertical wavy truncated cone in non-Newtonian fluid saturated porous media with thermal and mass stratification. International Communications in Heat and Mass Transfer 35:8, pages 985-990.
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Hun Sik Han & Jae Min Hyun. (2008) Buoyant convection in a parallelogrammic enclosure filled with a porous medium – General analysis and numerical simulations. International Journal of Heat and Mass Transfer 51:11-12, pages 2980-2989.
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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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Ching-Yang Cheng. (2007) Double diffusion from a vertical wavy surface in a porous medium saturated with a non-Newtonian fluid. International Communications in Heat and Mass Transfer 34:3, pages 285-294.
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Yasin Varol, Hakan F. Oztop & Asaf Varol. (2006) Free convection in porous media filled right-angle triangular enclosures. International Communications in Heat and Mass Transfer 33:10, pages 1190-1197.
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Ching-Yang Cheng. (2006) Natural convection heat and mass transfer of non-Newtonian power law fluids with yield stress in porous media from a vertical plate with variable wall heat and mass fluxes. International Communications in Heat and Mass Transfer 33:9, pages 1156-1164.
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Hakan F. Oztop. (2006) Combined convection heat transfer in a porous lid-driven enclosure due to heater with finite length. International Communications in Heat and Mass Transfer 33:6, pages 772-779.
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