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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 50, 2006 - Issue 2
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Original Articles

Natural Convection in a Cubic Cavity: Implicit Numerical Solution of Two Benchmark Problems

Beth Anne V. Bennett Department of Mechanical Engineering, Yale University, New Haven, Connecticut, USACorrespondence[email protected]
&
Jason Hsueh Department of Mechanical Engineering, Yale University, New Haven, Connecticut, USA
Pages 99-123 | Received 26 Aug 2005, Accepted 05 Jan 2006, Published online: 23 Sep 2006

Citations (26)

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Eliton Fontana, Ricardo Persi de Souza & Claudia Angela Capeletto. (2023) Natural convection in platonic solids. Numerical Heat Transfer, Part A: Applications 0:0, pages 1-16.
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Ali S. Alshomrani, S. Sivasankaran, A. A. Amer & Anjan Biswas. (2019) Numerical study on convective flow in a three-dimensional enclosure with hot solid body and discrete cooling. Numerical Heat Transfer, Part A: Applications 76:2, pages 87-99.
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L. M. Yang, C. Shu, W. M. Yang & J. Wu. (2017) A simple gas kinetic scheme for simulation of 3D incompressible thermal flows. Numerical Heat Transfer, Part B: Fundamentals 72:6, pages 450-468.
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Zhu Huang, Wei Zhang & Guang Xi. (2015) Natural Convection Heat Transfer in a Cubic Cavity Submitted to Time-Periodic Sidewall Temperature. Numerical Heat Transfer, Part A: Applications 67:1, pages 13-32.
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K. Kalidasan, R. Velkennedy & P. Rajesh Kanna. (2014) Numerical Investigation on Natural Convection Inside the Side Ventilated Square Enclosure with Vertical Mid-Partition. Numerical Heat Transfer, Part A: Applications 66:12, pages 1389-1418.
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Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
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F. Kuznik & G. Rusaouen. (2007) Numerical Prediction of Natural Convection Occurring in Building Components: A Double-Population Lattice Boltzmann Method. Numerical Heat Transfer, Part A: Applications 52:4, pages 315-335.
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Beth AnneV. Bennett. (2007) Local Rectangular Refinement in Three Dimensions (LRR3D): Development of a Solution-Adaptive Gridding Technique with Application to Convection-Diffusion Problems. Numerical Heat Transfer, Part B: Fundamentals 52:1, pages 1-32.
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Articles from other publishers (18)

Alexander Gelfgat. (2023) Sequence of bifurcations of natural convection of air in a laterally heated cube with perfectly insulated horizontal and spanwise boundaries. Physical Review Fluids 8:4.
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Marcello Lappa. (2022) Incompressible flows and the Boussinesq approximation: 50 years of CFD. Comptes Rendus. Mécanique 350:S1, pages 1-22.
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Alexander Yu. Gelfgat. (2020) Instability of natural convection in a laterally heated cube with perfectly conducting horizontal boundaries. Theoretical and Computational Fluid Dynamics 34:5-6, pages 693-711.
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Hermes Ferialdi, Marcello Lappa & Christopher Haughey. (2020) On the role of thermal boundary conditions in typical problems of buoyancy convection: A combined experimental-numerical analysis. International Journal of Heat and Mass Transfer 159, pages 120012.
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Alexander Yu. Gelfgat. (2020) Instability of natural convection of air in a laterally heated cube with perfectly insulated horizontal boundaries and perfectly conducting spanwise boundaries. Physical Review Fluids 5:9.
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Ali S. Alshomrani, S. Sivasankaran & Amer Abdulfattah Ahmed. (2020) Numerical study on convective flow and heat transfer in 3D inclined enclosure with hot solid body and discrete cooling. International Journal of Numerical Methods for Heat & Fluid Flow 30:10, pages 4649-4659.
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K. Hirata, M. Nobuhara, M. Kodama, H. Tanigawa & T. Noguchi. (2019) Three-pronged convection in a cubic cavity under modulating gravity. International Journal of Heat and Mass Transfer 135, pages 1073-1081.
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Massimo Corcione, Alessandro Quintino & Elisa Ricci. (2018) Heat transfer enhancement in Rayleigh-Bénard convection of liquids using suspended adiabatic honeycombs. International Journal of Thermal Sciences 127, pages 351-359.
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P. S. Contreras, M. F. M. Speetjens & H. J. H. Clercx. (2017) Lagrangian transport in a class of three-dimensional buoyancy-driven flows. Journal of Fluid Mechanics 832, pages 5-40.
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Alexander Yu. Gelfgat. (2017) Time-dependent modeling of oscillatory instability of three-dimensional natural convection of air in a laterally heated cubic box. Theoretical and Computational Fluid Dynamics 31:4, pages 447-469.
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Ahmed Kadhim Hussein, Kolsi Lioua, Ramesh Chand, S. Sivasankaran, Rasoul Nikbakhti, Dong Li, Borjini Mohamed Naceur & Ben Aïssia Habib. (2016) Three-dimensional unsteady natural convection and entropy generation in an inclined cubical trapezoidal cavity with an isothermal bottom wall. Alexandria Engineering Journal 55:2, pages 741-755.
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K. Kalidasan, R. Velkennedy & P. Rajesh Kanna. (2016) Natural convection heat transfer enhancement using nanofluid and time-variant temperature on the square enclosure with diagonally constructed twin adiabatic blocks. Applied Thermal Engineering 92, pages 219-235.
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Paola A. Córdoba, Nicolás Silin & Enzo A. Dari. (2015) Natural convection in a cubical cavity filled with a fluid showing temperature-dependent viscosity. International Journal of Thermal Sciences 98, pages 255-265.
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F. M. Hady, Sameh E. Ahmed, Hillal M. Elshehabey & R. A. Mohamed. (2015) Natural Convection of a Nanofluid in Inclined, Partially Open Cavities: Thermal Effects. Journal of Thermophysics and Heat Transfer 29:1, pages 150-165.
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K. Kalidasan, R. Velkennedy & P. Rajesh Kanna. (2014) Buoyancy enhanced natural convection inside the ventilated square enclosure with a partition and an overhanging transverse baffle. International Communications in Heat and Mass Transfer 56, pages 121-132.
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V. I. Terekhov & A. L. Ekaid. (2011) Three-dimensional laminar convection in a parallelepiped with heating of two side walls. High Temperature 49:6, pages 874-880.
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Éliton Fontana, Adriano da Silva & Viviana Cocco Mariani. (2011) Natural convection in a partially open square cavity with internal heat source: An analysis of the opening mass flow. International Journal of Heat and Mass Transfer 54:7-8, pages 1369-1386.
Crossref
Yuri Feldman & Alexander Yu. Gelfgat. (2009) On pressure–velocity coupled time-integration of incompressible Navier–Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique. Computers & Structures 87:11-12, pages 710-720.
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