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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 41, 2002 - Issue 8
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Original Articles

NATURAL CONVECTION IN POROUS ENCLOSURES: THE APPLICATION OF THE TWO-ENERGY EQUATION MODEL

Abdalla Mohamed Al-Amiri
Pages 817-834 | Published online: 30 Nov 2010

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Ruili Yu, Rui Liang, Wenhai Zhou, Shujiang Wang, Shouti Yue & Benting Cui. (2020) Stress analysis of a filter screen based on dimensional analysis and finite element analysis. Engineering Applications of Computational Fluid Mechanics 14:1, pages 168-179.
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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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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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K. Al-Farhany & A. Turan. (2011) Unsteady Conjugate Natural Convective Heat Transfer in a Saturated Porous Square Domain Generalized Model. Numerical Heat Transfer, Part A: Applications 60:9, pages 746-765.
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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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M. Adekojo Waheed. (2009) Heatfunction Formulation of Thermal Convection in Rectangular Enclosures Filled with Porous Media. Numerical Heat Transfer, Part A: Applications 55:2, pages 185-204.
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Tzer-Ming Jeng & Sheng-Chung Tzeng. (2008) Heat Transfer in a Lid-Driven Enclosure Filled with Water-Saturated Aluminum Foams. Numerical Heat Transfer, Part A: Applications 54:2, pages 178-196.
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Min Zeng, Qiu-Wang Wang, Zi-Peng Huang, Gang Wang & Hiroyuki Ozoe. (2007) Numerical Investigation of Natural Convection in an Enclosure Filled with Porous Medium Under Magnetic Field. Numerical Heat Transfer, Part A: Applications 52:10, pages 959-971.
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Yuwen Zhang. (2006) Nonequilibrium Modeling of Heat Transfer in a Gas-Saturated Powder Layer Subject to a Short-Pulsed Heat Source. Numerical Heat Transfer, Part A: Applications 50:6, pages 509-524.
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Articles from other publishers (37)

Assma S. Abdulwahed & Luma F. Ali. (2022) Numerical investigation of natural convection in a square enclosure partially filled with horizontal layers of a porous medium. Heat Transfer 52:1, pages 874-889.
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Zafar H. Khan, Waqar A. Khan, Muhammad Qasim & Min Du. (2021) Double‐diffusive flow in a porous right‐angle trapezoidal enclosure with constant heat flux. Mathematical Methods in the Applied Sciences 45:6, pages 3305-3317.
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L. Jino, A. Vanav Kumar, S. Maity, P. Mohanty & D. S. Sankar. Mathematical modeling of a nanofluid in a porous cavity with side wall temperature in the presence of magnetic field. Mathematical modeling of a nanofluid in a porous cavity with side wall temperature in the presence of magnetic field.
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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Sameh E. Ahmed. (2019) Effect of fractional derivatives on natural convection in a complex‐wavy‐wall surrounded enclosure filled with porous media using nanofluids. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100:1.
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M.M. Rahman, I. Pop & M.Z. Saghir. (2019) Steady free convection flow within a titled nanofluid saturated porous cavity in the presence of a sloping magnetic field energized by an exothermic chemical reaction administered by Arrhenius kinetics. International Journal of Heat and Mass Transfer 129, pages 198-211.
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Salar Taghizadeh & Azin Asaditaheri. (2018) Heat transfer and entropy generation of laminar mixed convection in an inclined lid driven enclosure with a circular porous cylinder. International Journal of Thermal Sciences 134, pages 242-257.
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Sumit Malik & A.K. Nayak. (2017) MHD convection and entropy generation of nanofluid in a porous enclosure with sinusoidal heating. International Journal of Heat and Mass Transfer 111, pages 329-345.
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H. Zargartalebi, M. Ghalambaz, K. Khanafer & I. Pop. (2017) Unsteady conjugate natural convection in a porous cavity boarded by two vertical finite thickness walls. International Communications in Heat and Mass Transfer 81, pages 218-228.
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Donald A. Nield & Adrian BejanDonald A. Nield & Adrian Bejan. 2017. Convection in Porous Media. Convection in Porous Media 363 437 .
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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Khalil Khanafer, Abdalla AlAmiri & Joe Bull. (2015) Laminar natural convection heat transfer in a differentially heated cavity with a thin porous fin attached to the hot wall. International Journal of Heat and Mass Transfer 87, pages 59-70.
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D. Ramakrishna, Tanmay Basak, S. Roy & E. Momoniat. (2014) Analysis of thermal efficiency via analysis of heat flow and entropy generation during natural convection within porous trapezoidal cavities. International Journal of Heat and Mass Transfer 77, pages 98-113.
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Dongyan Gao, Zhenqian Chen & Linghai Chen. (2014) A thermal lattice Boltzmann model for natural convection in porous media under local thermal non-equilibrium conditions. International Journal of Heat and Mass Transfer 70, pages 979-989.
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Jiang Changwei, Zhong Hui, Feng Wei, Zen Junyong & Zhu Qiangming. (2013) Numerical Simulation of Thermomagnetic Convection of Air in a Porous Square Enclosure Under a Magnetic Quadrupole Field. Journal of Superconductivity and Novel Magnetism 27:2, pages 519-525.
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M.A. Hossain, M. Saleem & R.S.R. Gorla. (2013) Surface-radiation effect on natural convection flow in a fluid-saturated non-Darcy porous medium enclosed by non-isothermal walls. International Journal of Numerical Methods for Heat & Fluid Flow 23:8, pages 1320-1339.
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Santiphong Klayborworn, Watit Pakdee, Phadungsak Rattanadecho & Somsak Vongpradubchai. (2013) Effects of material properties on heating processes in two-layered porous media subjected to microwave energy. International Journal of Heat and Mass Transfer 61, pages 397-408.
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M. A. Hossain, M. Saleem, S. C. Saha & A. Nakayama. (2013) Conduction-radiation effect on natural convection flow in fluid-saturated non-Darcy porous medium enclosed by non-isothermal walls. Applied Mathematics and Mechanics 34:6, pages 687-702.
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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 .
Hongbo Kang, Yuwen Zhang, Mo Yang & Ling Li. (2012) Nonequilibrium molecular dynamics simulation of coupling between nanoparticles and base-fluid in a nanofluid. Physics Letters A 376:4, pages 521-524.
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Watit Pakdee & Phadungsak Rattanadecho. (2011) Natural Convection in a Saturated Variable-Porosity Medium Due to Microwave Heating. Journal of Heat Transfer 133:6.
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K. Al-Farhany & A. Turan. (2011) Non-Darcy effects on conjugate double-diffusive natural convection in a variable porous layer sandwiched by finite thickness walls. International Journal of Heat and Mass Transfer 54:13-14, pages 2868-2879.
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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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Yasin Varol, Hakan F. Oztop & Engin Avci. (2008) Estimation of thermal and flow fields due to natural convection using support vector machines (SVM) in a porous cavity with discrete heat sources. International Communications in Heat and Mass Transfer 35:8, pages 928-936.
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Yuwen Zhang & H.B. Ma. (2008) Nonequilibrium heat conduction in a nanofluid layer with periodic heat flux. International Journal of Heat and Mass Transfer 51:19-20, pages 4862-4874.
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Abdalla Al-Amiri, Khalil Khanafer & Ioan Pop. (2008) Steady-state conjugate natural convection in a fluid-saturated porous cavity. International Journal of Heat and Mass Transfer 51:17-18, pages 4260-4275.
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Khalil Khanafer, Abdalla Al-Amiri & Ioan Pop. (2008) Numerical analysis of natural convection heat transfer in a horizontal annulus partially filled with a fluid-saturated porous substrate. International Journal of Heat and Mass Transfer 51:7-8, pages 1613-1627.
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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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Khalil Khanafer, Abdalla AlAmiri, Ioan Pop & Joseph L. Bull. 2008. Emerging Topics in Heat and Mass Transfer in Porous Media. Emerging Topics in Heat and Mass Transfer in Porous Media 237 259 .
Q.W. Wang, M. Zeng, Z.P. Huang, G. Wang & H. Ozoe. (2007) Numerical investigation of natural convection in an inclined enclosure filled with porous medium under magnetic field. International Journal of Heat and Mass Transfer 50:17-18, pages 3684-3689.
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Ching-Yang Cheng. (2007) A boundary layer analysis of heat transfer by free convection from permeable horizontal cylinders of elliptic cross-section in porous media using a thermal non-equilibrium model. International Communications in Heat and Mass Transfer 34:5, pages 613-622.
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Hakan F. Oztop. (2007) Natural convection in partially cooled and inclined porous rectangular enclosures. International Journal of Thermal Sciences 46:2, pages 149-156.
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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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S.A. Khashan, A.M. Al-Amiri & I. Pop. (2006) Numerical simulation of natural convection heat transfer in a porous cavity heated from below using a non-Darcian and thermal non-equilibrium model. International Journal of Heat and Mass Transfer 49:5-6, pages 1039-1049.
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R.J. Goldstein, E.R.G. Eckert, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, A. Bar-Cohen, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick & V. Srinivasan. (2005) Heat transfer—a review of 2002 literature. International Journal of Heat and Mass Transfer 48:5, pages 819-927.
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