A comprehensive heatline based approach for natural convection flows in trapezoidal enclosures: Effect of various walls heating

Swenson, 1997, The effects of thermal deformation on flow in a jointed geothermal reservoir, Int. J. Rock Mech. Min. Sci., 34, e1, 10.1016/S1365-1609(97)00285-2

O’Mahoney, 2000, Use of experiment and an inverse method to study interface heat transfer during solidification in the investment casting process, Exp. Thermal Fluid Sci., 22, 111, 10.1016/S0894-1777(00)00014-5

Joudi, 2004, Computational model for a prism shaped storage solar collector with a right triangular cross- section, Energy Convers. Manage., 45, 391, 10.1016/S0196-8904(03)00153-5

Akterian, 1994, Numerical simulation of unsteady heat conduction in arbitrary shaped canned foods during sterilization processes, J. Food Eng., 21, 343, 10.1016/0260-8774(94)90078-7

Park, 1999, Natural convection heat transfer with crust formation in the molten metal pool, Nucl. Technol., 127, 66, 10.13182/NT99-A2984

Mishra, 2005, Molten salt applications in materials processing, J. Phys. Chem. Solids, 66, 396, 10.1016/j.jpcs.2004.06.049

Bhowmik, 2005, Experimental study of transient natural convection heat transfer from simulated electronic chips, Exp. Thermal Fluid Sci., 29, 485, 10.1016/j.expthermflusci.2004.06.003

Bianco, 2006, Thermal design and optimization of vertical convergent channels in natural convection, Appl. Thermal Eng., 26, 170, 10.1016/j.applthermaleng.2005.05.016

Jain, 2007, Modeling the performance of the reversed absorber with packed bed thermal storage natural convection solar crop dryer, J. Food Eng., 78, 637, 10.1016/j.jfoodeng.2005.10.035

Kwak, 2000, Natural convection around horizontal downward-facing plate with rectangular grooves: experiments and numerical simulations, Int. J. Heat Mass Transfer, 43, 825, 10.1016/S0017-9310(99)00164-7

Corcione, 2003, Effects of the thermal boundary conditions at the side walls upon natural convection in rectangular enclosures heated from below and cooled from above, Int. J. Thermal Sci., 42, 199, 10.1016/S1290-0729(02)00019-4

Corcione, 2010, Buoyant heat transport in fluids across tilted square cavities discretely heated at one side, Int. J. Thermal Sci., 49, 797, 10.1016/j.ijthermalsci.2009.11.012

Paroncini, 2009, Natural convection in a square enclosure with a hot source, Int. J. Thermal Sci., 48, 1683, 10.1016/j.ijthermalsci.2009.02.005

Chen, 2007, Study of buoyancy-induced flows subjected to partially heated sources on the left and bottom walls in a square enclosure, Int. J. Thermal Sci., 46, 1219, 10.1016/j.ijthermalsci.2006.11.021

Cianfrini, 2005, Natural convection in tilted square cavities with differentially heated opposite walls, Int. J. Thermal Sci., 44, 441, 10.1016/j.ijthermalsci.2004.11.007

Sathiyamoorthy, 2007, Steady natural convection flows in a square cavity with linearly heated side wall(s), Int. J. Heat Mass Transfer, 50, 766, 10.1016/j.ijheatmasstransfer.2006.06.019

Wang, 2006, Flow mode-transition of natural convection in inclined rectangular enclosures subjected to bidirectional temperature gradients, Int. J. Heat Mass Transfer, 45, 782

Valencia, 1989, Heat transfer in square cavities with partially active vertically walls, Int. J. Heat Mass Transfer, 32, 1567, 10.1016/0017-9310(89)90078-1

Ganguli, 2007, Numerical predictions of flow patterns due to natural convection in a vertical slot, Chem. Eng. Sci., 62, 4479, 10.1016/j.ces.2007.05.017

Sharif, 2005, Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls, Int. J. Thermal Sci., 44, 865, 10.1016/j.ijthermalsci.2005.02.006

Muftuoglu, 2008, Natural convection in an open square cavity with discrete heaters at their optimized positions, Int. J. Thermal Sci., 47, 369, 10.1016/j.ijthermalsci.2007.03.015

Payan, 2009, Inverse boundary design of square enclosures with natural convection, Int. J. Thermal Sci., 48, 682, 10.1016/j.ijthermalsci.2008.05.019

Hall, 1988, Transient natural convection in a rectangular enclosure with one heated side wall, Int. J. Heat Fluid Flow, 9, 396, 10.1016/0142-727X(88)90006-9

Hyun, 1989, Numerical solutions of transient natural convection in a square cavity with different side wall temperature, Int. J. Heat Fluid Flow, 10, 146, 10.1016/0142-727X(89)90009-X

Lage, 1991, The Ra-Pr domain of laminar natural convection in an enclosure heated from the side, Numer. Heat Transfer A, 19, 21, 10.1080/10407789108944836

Lage, 1993, The resonance of natural convection in an enclosure heated periodically from the side, Int. J. Heat Mass Transfer, 36, 2027, 10.1016/S0017-9310(05)80134-6

November, 1987, Natural convection in rectangular enclosures from below and cooled along one side, Int. J. Heat Mass Transfer, 30, 2433, 10.1016/0017-9310(87)90233-X

Xia, 2002, Buoyancy-driven flow transitions in deep cavities heated from below, ASME Trans. J. Heat Transfer, 124, 650, 10.1115/1.1481356

Iyican, 1980, An analytical study of natural convective heat transfer within trapezoidal enclosure, ASME Trans. J. Heat Transfer, 102, 640, 10.1115/1.3244365

Karyakin, 1989, Transient natural convection in prismatic enclosures of arbitrary cross-section, Int. J. Heat Mass Transfer, 32, 1095, 10.1016/0017-9310(89)90009-4

Peri&cacute, 1993, Natural convection in trapezoidal cavities, Numer. Heat Transfer A, 24, 213, 10.1080/10407789308902614

Kuyper, 1995, Laminar natural convection flow in trapezoidal enclosures, Numer. Heat Transfer A, 28, 55, 10.1080/10407789508913732

Varol, 2009, Natural convection in right-angle porous trapezoidal enclosure partially cooled from inclined wall, Int. Comm. Heat Mass Transfer, 36, 6, 10.1016/j.icheatmasstransfer.2008.09.010

Kimura, 1983, The heatline visualization of convective heat transfer, J. Heat Transfer, 105, 916, 10.1115/1.3245684

Trevisan, 1987, Combined heat and mass transfer by natural convection in a vertical enclosure, J. Heat Transfer, 109, 104, 10.1115/1.3248027

Bejan, 2004

Kim, 2001, Experimental and numerical analysis of heat transfer phenomena in a sensor tube of a mass flow controller, Int. J. Heat Mass Transfer, 44, 1711, 10.1016/S0017-9310(00)00216-7

Bello-Ochende, 1988, A heat function formulation for thermal convection in a square cavity, Int. Comm. Heat Mass Transfer, 15, 193, 10.1016/0735-1933(88)90065-6

Costa, 1999, Unification of the streamline, heatline and massline methods for the visualization of two-dimensional transport phenomena, Int. J. Heat Mass Transfer, 42, 27, 10.1016/S0017-9310(98)00138-0

Costa, 2000, Heatline and massline visualization of laminar natural convection boundary layers near a vertical wall, Int. J. Heat Mass Transfer, 43, 3765, 10.1016/S0017-9310(00)00028-4

Costa, 2003, Unified streamline, heatline and massline methods for the visualization of two-dimensional heat and mass transfer in anisotropic media, Int. J. Heat Mass Transfer, 46, 1309, 10.1016/S0017-9310(02)00404-0

Costa, 2006, Bejan’s heatlines and masslines for convection visualization and analysis, Appl. Mechanics Rev., 59, 126, 10.1115/1.2177684

Zhao, 2007, Application issues of the streamline, heatline and massline for conjugate heat and mass transfer, Int. J. Heat Mass Transfer, 50, 320, 10.1016/j.ijheatmasstransfer.2006.06.026

Dalal, 2008, Heatline method for the visualization of natural convection in a complicated cavity, Int. J. Heat Mass Transfer, 51, 263, 10.1016/j.ijheatmasstransfer.2007.04.005

Basak, 2008, Roles of ’Bejan’s heatlines’ in heat flow visualization and optimal thermal mixing for differentially heated square enclosures, Int. J. Heat Mass Transfer, 51, 3486, 10.1016/j.ijheatmasstransfer.2007.10.033

Basak, 2009, Visualization of heat flow due to natural convection within triangular cavities using Bejan’s heatline concept, Int. J. Heat Mass Transfer, 52, 2824, 10.1016/j.ijheatmasstransfer.2008.10.034

Basak, 2009, Heat flow analysis for natural convection within trapezoidal enclosures based on heatline concept, Int. J. Heat Mass Transfer, 52, 2471, 10.1016/j.ijheatmasstransfer.2009.01.020

Reddy, 1993

Basak, 2006, Effects of thermal boundary conditions on natural convection flows within a square cavity, Int. J. Heat Mass Transfer, 49, 4525, 10.1016/j.ijheatmasstransfer.2006.05.015

Batchelor, 1993

Roy, 2005, Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s), Int. J. Engg. Sci., 43, 668, 10.1016/j.ijengsci.2005.01.002

Ganzarolli, 1995, Natural convection in rectangular enclosures heated from below and symmetrically cooled from the sides, Int. J. Heat Mass Transfer, 38, 1063, 10.1016/0017-9310(94)00217-J

Deng, 2002, Numerical visualization of mass and heat transport for conjugate natural convection/heat conduction by streamline and heatline, Int. J. Heat Mass Transfer, 45, 2373, 10.1016/S0017-9310(01)00316-7