A review on natural convection in enclosures for engineering applications. The particular case of the parallelogrammic diode cavity

Patankar, 1980, Numerical heat transfer and fluid flow Lewis, 1996 Verhoven, 1969, Experimental study of thermal convection in a fluid cylinder of mercury heated from below, Phys. Fluids, 12, 1733, 10.1063/1.1692736 Ferziger, 1999 Bejan, 1993 Bianchi, 2004 Bejan, 2004 Suárez, 2012, Energy evaluation of an horizontal open joint ventilated façade, Appl. Therm. Eng., 37, 302, 10.1016/j.applthermaleng.2011.11.034 Janssen, 1993, Transition to time-periodicity of a natural-convection flow in a 3D differentially heated cavity, Int. J. Heat Mass Transfer, 36, 2927, 10.1016/0017-9310(93)90111-I Lee, 1995, Three-dimensional natural convection of air in an inclined cubic cavity, Numer. Heat Transfer, 27, 681, 10.1080/10407789508913726 Gatheri, 1994, Natural convection in an enclosure with localized heating and cooling: a numerical study, 361 Fusegi, 1991, A numerical study of three-dimensional natural-convection in a differentially heated cubical enclosure, Int. J. Heat Mass Transfer, 34, 1543, 10.1016/0017-9310(91)90295-P Thiam, 1997 Baïri, 2003, Transient natural 2D convection in a cylindrical cavity with the upper face cooled by thermoelectric Peltier effect following an exponential law, Appl. Therm. Eng., 23, 431, 10.1016/S1359-4311(02)00207-7 Malik, 2012, Experimental study of conjugate heat transfer within a bottom heated vertical concentric cylindrical enclosure, Int. J. Heat Mass Transfer, 55, 1154, 10.1016/j.ijheatmasstransfer.2011.09.055 Edwards, 1969, Prediction of heat transfer by natural convection in closed cylinders heated below, Int. J. Heat Mass Transfer, 12, 23, 10.1016/0017-9310(69)90075-1 Liang, 1969, Buoyance driven convection in cylindrical geometries, J. Fluid Mech., 36, 239, 10.1017/S0022112069001637 Versteeg, 1995 Huang, 1987, Analysis of natural convection in a cylindrical enclosure, Numer. Heat Transfer, 12, 121, 10.1080/10407788708913577 Hsieh, 1990, Thermal correlation of natural convection in bottom cooled cylindrical enclosures, J. Thermophys. Heat Transfer, 4, 123, 10.2514/3.29176 Figliola, 1986, Convection transitions within a vertical cylinder heated from below, Phys. Fluids, 29, 2028, 10.1063/1.865586 Lin, 1986, Pseudo-steady state natural convection heat transfer inside a vertical cylinder, J. Numer. Heat Transfer, 108, 310, 10.1115/1.3246921 Rodríguez, 2009, Unsteady numerical simulation of the cooling process of vertical storage tanks under laminar natural convection, Int. J. Therm. Sci., 48, 708, 10.1016/j.ijthermalsci.2008.06.002 Sheremet, 2012, Interaction of two-dimensional thermal “plumes” from local sources of energy under conditions of conjugate natural convection in a horizontal cylinder, J. Appl. Mech. Tech. Phys., 53, 566, 10.1134/S0021894412040116 Ridouane, 2008, Numerical simulation of the 3D behavior of thermal buoyant airflows in pentahedral spaces, Int. J. Heat Fluid Flow, 29, 1360, 10.1016/j.ijheatfluidflow.2008.04.013 Lei, 2008, Unsteady natural convection in a water-filled isosceles triangular enclosure heated from below, Int. J. Heat Mass Transfer, 51, 2637, 10.1016/j.ijheatmasstransfer.2007.09.036 Basak, 2007, Finite element analysis of natural convection in a triangular enclosure: effects of various thermal boundary conditions, Chem. Eng. Sci., 62, 2623, 10.1016/j.ces.2007.01.053 Sieres, 2007, Effect of surface radiation on buoyant convection in vertical triangular cavities with variable aperture angles, Int. J. Heat Mass Transfer, 50, 5139, 10.1016/j.ijheatmasstransfer.2007.07.006 Oztop, 2009, Investigation of natural convection in triangular enclosure filled with porous medi saturated with water near 4°C, Energy Convers. Manage., 50, 1473, 10.1016/j.enconman.2009.02.023 Varol, 2009, Natural convection in right-angle porous trapezoidal enclosure partially cooled from inclined wall, Int. Commun. Heat Mass Transfer, 36, 6, 10.1016/j.icheatmasstransfer.2008.09.010 Shiina, 1994, Natural convection in a hemispherical enclosure heated from below, Int. J. Heat Mass Transfer, 37, 1605, 10.1016/0017-9310(94)90176-7 Baïri, 2011, Natural Convection in Inclined Hemispherical Cavities, Isothermal Disq, 66 Baïri, 2013, Numerical and experimental study of steady state free convection generated by constant heat flux in tilted hemispherical cavities, Int. J. Heat Mass Transfer, 66, 355, 10.1016/j.ijheatmasstransfer.2013.07.038 Rempe, 2005, Natural convection heat transfer experiment in a hemispherical pool Gabor, 1980, Heat transfer from internally heated hemispherical pools Asfia, 1996, An experimental study of natural convection in a volumetrically heated spherical pool bounded on top with a rigid wall, Nucl. Eng. Des., 163, 333, 10.1016/0029-5493(96)01215-0 Theofanous, 1997, The first results from the ACOPO experiment, Nucl. Eng. Des., 169, 49, 10.1016/S0029-5493(97)00023-X Chiu, 1996, Transient natural convection heat transfer between concentric and vertically eccentric spheres, Int. J. Heat Mass Transfer, 39, 1439, 10.1016/0017-9310(95)00189-1 Saha, 2010, Natural convection heat transfer within octogonal enclosure, IJE Trans. A: Basics, 23, 1 Ostrach, 1972, Natural convection in enclosures, Adv. Heat Transfer, 8, 161, 10.1016/S0065-2717(08)70039-X Ostrach, 1988, Natural convection in enclosures, ASME, J. Heat Transfer, 110, 1175, 10.1115/1.3250619 Catton, 1978, Natural convection in enclosures, vol. 6, 13 de Vahl Davis, 1983, Natural convection of air in a square cavity: a benchmark numerical solution, Int. J. Numer. Methods Fluids, 3, 249, 10.1002/fld.1650030305 de Vahl Davis, 1983, Natural convection in a square cavity: a comparison exercise, Int. J. Numer. Methods Fluids, 3, 227, 10.1002/fld.1650030304 Khalifa, 2001, Natural convective heat transfer coefficient – a review. I. Isolated vertical and horizontal surfaces, Energy Convers. Manage., 42, 491, 10.1016/S0196-8904(00)00042-X Khalifa, 2001, Natural convective heat transfer coefficient – a review. II. Surfaces in two- and three-dimensional enclosures, Energy Convers. Manage., 42, 505, 10.1016/S0196-8904(00)00043-1 Goldstein, 2006, Heat transfer – a review of 2003 literature, Int. J. Heat Mass Transfer, 49, 451, 10.1016/j.ijheatmasstransfer.2005.11.001 Baïri, 1983 Fusegi, 1994, Laminar and transitional natural convection in an enclosure with complex and realistic conditions, Int. J. Heat Fluid Flow, 15, 258, 10.1016/0142-727X(94)90011-6 Hasnaoui, 1992, Natural convection heat transfer in rectangular cavities heated from below, J. Thermophys. Heat Transfer, 6, 255, 10.2514/3.353 Baïri, 2007, Numerical and experimental study of natural convection in tilted parallelepipedic cavities for large Rayleigh numbers, Exp. Therm. Fluid Sci., 31, 309, 10.1016/j.expthermflusci.2006.04.017 Arpino, 2010, High Rayleigh number laminar-free convection in cavities: new benchmark solutions, Numer. Heat Transfer, 58, 73, 10.1080/10407790.2010.508438 Briggs, 1985, Two-dimensional periodic natural convection in a rectangular enclosure of aspect ratio one, J. Heat Transfer, 107, 850, 10.1115/1.3247513 Penot, 1992, Successive bifurcations of natural convection in vertical enclosure heated from the side, vol. 1, 507 Baïri, 2008, Nusselt–Rayleigh correlations for the design of industrial elements: experimental and numerical investigation of natural convection in tilted square air-filled enclosures, Energy Convers. Manage., 49, 771, 10.1016/j.enconman.2007.07.030 Saury, 2011, Natural convection in an air-filled cavity: experimental results at large Rayleigh numbers, Int. Commun. Heat Mass Transfer, 38, 679, 10.1016/j.icheatmasstransfer.2011.03.019 Varol, 2012, Experimental and numerical study on laminar natural convection in a cavity heated from bottom due to an inclined fin, Heat Mass Transfer, 48, 61, 10.1007/s00231-011-0843-3 Shim, 1997, Transient confined natural convection with internal heat generation, Int. J. Heat Fluid Flow, 18, 328, 10.1016/S0142-727X(97)00027-1 Kuznetsov, 2011, Conjugate natural convection in an enclosure with a heat source of constant heat transfer rate, Int. J. Heat Mass Transfer, 54, 260, 10.1016/j.ijheatmasstransfer.2010.09.046 Kuznetsov, 2010, Conjugate natural convection in a closed domain containing a heat-releasing element with a constant heat release intensity, J. Appl. Mech. Tech. Phys., 51, 699, 10.1007/s10808-010-0090-2 Nithyadevi, 2009, Magnetoconvection in a square cavity with partially active vertical walls: time periodic boundary condition, Int. J. Heat Mass Transfer, 52, 1945, 10.1016/j.ijheatmasstransfer.2008.08.039 Vadim, 2012, Heat transfer due to buoyancy-driven convective interaction in enclosures: fundamentals and applications, Int. J. Heat Mass Transfer, 55, 156 Teamah, 2011, Double diffusive natural convection in a square cavity with segmental heat sources, Eur. J. Scientific Res., 54, 287 Huelsz, 2013, Heat transfer due to natural convection in an inclined square cavity using the lattice Boltzmann equation method, Int. J. Therm. Sci., 65, 111, 10.1016/j.ijthermalsci.2012.09.009 Gollub, 1980, Many routes to turbulent convection, J. Fluid Mech., 100, 449, 10.1017/S0022112080001243 Mukutmoni, 1993, Rayleigh–Bénard convection in a small aspect ratio enclosure, part I – bifurcation to oscillatory convection, J. Heat Transfer, 115, 360, 10.1115/1.2910687 Mukutmoni, 1993, Rayleigh–Bénard convection in a small aspect ratio enclosure, part II – Bifurcation to chaos, J. Heat Transfer, 115, 367, 10.1115/1.2910688 Mukutmoni, 1995, Thermal convection in small enclosures: an atypical bifurcation sequence, Int. J. Heat Mass Transfer, 38, 113, 10.1016/0017-9310(94)00124-E Dixit, 2006, Simulation of high Rayleigh number convection in a square cavity using the lattice Boltzmann method, Int. J. Heat Mass Transfer, 49, 727, 10.1016/j.ijheatmasstransfer.2005.07.046 Xamán, 2005, Numerical study of heat transfer by laminar and turbulent natural convection in tall cavities of facade elements, Energy Build., 37, 787, 10.1016/j.enbuild.2004.11.001 Manz, 2003, Numerical simulation of heat transfer by natural convection in cavities of facade elements, Energy Build., 35, 305, 10.1016/S0378-7788(02)00088-9 Skouta, 2001, Étude numérique de la convection naturelle instationnaire bidimensionnelle dans une enceinte allongée, de grand axe horizontal et de section carrée, inclinée eu égard au plan horizontal et chauffée par deux côtés opposés, Int. J. Therm. Sci., 40, 352, 10.1016/S1290-0729(01)01228-5 Trias, 2010, Direct numerical simulation of a differentially heated cavity of aspect ratio 4 with Rayleigh numbers up to 1011 – part I: numerical methods and time-averaged flow, Int. J. Heat Mass Transfer, 53, 665, 10.1016/j.ijheatmasstransfer.2009.10.026 Bravo Malo, 2012, Thermal and energy analysis of double-skin facades Baïri, 2008, Transient thermal characteristics of airborne electronic equipment with discrete hot bands in square cavities, Appl. Energy, 85, 951, 10.1016/j.apenergy.2008.02.009 Baïri, 2008, Free convection generated in an enclosure by alternate heated bands. Experimental and numerical. study adapted to electronics and thermal control, Int. J. Heat Fluid Flow, 29, 1337, 10.1016/j.ijheatfluidflow.2008.06.007 Singha, 2012, Analysis of Bejan's heatlines on visualization of heat flow and thermal mixing in tilted square cavities, Int. J. Heat Mass Transfer, 55, 2965, 10.1016/j.ijheatmasstransfer.2012.02.002 Cianfrini, 2005, Natural convection in tilted square cavities with differentially heated opposite walls, Int. J. Therm. Sci., 44, 441, 10.1016/j.ijthermalsci.2004.11.007 Corvaro, 2012, PIV and numerical analysis of natural convection in tilted enclosures filled with air and with opposite active walls, Int. J. Heat Mass Transfer, 55, 6349, 10.1016/j.ijheatmasstransfer.2012.06.003 Getling, 1997 Yang, 1988, Transitions and bifurcations in laminar buoyant flows in confined enclosures, J. Heat Transfer, 110, 1191, 10.1115/1.3250620 Koschmieder, 1993 Gelfgat, 1999, Different modes of Rayleigh–Bénard instability in two and three-dimensional rectangular enclosures, J. Comput. Phys., 156, 300, 10.1006/jcph.1999.6363 Sezaï, 2000, Natural convection from a discrete heat source on the bottom of a horizontal enclosure, Int. J. Heat Mass Transfer, 43, 2257, 10.1016/S0017-9310(99)00304-X Ganzorolli, 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 Mahdi, 1990, Time-dependent natural convection in a square cavity: application of a new finite volume method, Int. J. Numer. Methods Fluids, 11, 57, 10.1002/fld.1650110105 Pallares, 1999, Flow transitions in laminar Rayleigh–Bénard convection in a cubical cavity at moderate Rayleigh numbers, Internat. J. Heat Mass Transfer, 42, 753, 10.1016/S0017-9310(98)00192-6 Pallares, 1996, Natural convection in a cubical cavity heated from below at low Rayleigh numbers, Int. J. Heat Mass Transfer, 39, 3233, 10.1016/0017-9310(95)00390-8 Anderson, 1986, The horizontal natural convection boundary layer regime in a closed cavity, vol. 4, 1453 Saury, 2012, Experimental determination of first bifurcations to unsteady natural convection in a differentially-heated cavity tilted from 0° to 180°, Exp. Therm. Fluid Sci., 38, 74, 10.1016/j.expthermflusci.2011.11.009 D’Orazio, 2004, Rayleigh–Bénard convection in tall rectangular enclosures, Int. J. Therm. Sci., 43, 135, 10.1016/j.ijthermalsci.2003.05.002 Rosenhow, 1985 Calay, 1998, Natural convective heat transfer rates in rectangular enclosures, Energy Build., 27, 137, 10.1016/S0378-7788(97)00030-3 Soong, 1996, Numerical study on mode transition of natural convection in differentially heated inclined enclosures, Int. J. Heat Mass Transfer, 39, 2869, 10.1016/0017-9310(95)00378-9 Bae, 2004, Time-dependent buoyant convection in an enclosure with discrete heat sources, Int. J. Therm. Sci., 43, 3, 10.1016/S1290-0729(03)00102-9 da Silva, 2004, Optimal distribution of discrete sources on a wall with natural convection, Int. J. Heat Mass Transfer, 47, 203, 10.1016/j.ijheatmasstransfer.2003.07.007 da Silva, 2006, Constructal multi-scale structures for maximal heat transfer density, Energy, 31, 620, 10.1016/j.energy.2005.04.011 da Silva, 2010, Volumetric maximization of coolant usage in closed self-driven circuits, Int. J. Heat Mass Transfer, 53, 3969, 10.1016/j.ijheatmasstransfer.2010.05.016 Chen, 2006, Experimental study of natural convective heat transfer from a vertical plate with discrete heat sources mounted on the back, Energy Convers. Manage., 47, 3447, 10.1016/j.enconman.2005.12.015 Heindel, 1996, Enhancement of natural convection heat transfer from an array of discrete heat sources, Int. J. Heat Mass Transfer, 39, 479, 10.1016/0017-9310(95)00153-Z Oosthuizen, 2005, Natural convection in a rectangular enclosure with two heated sections on the lower surface, Int. J. Heat Fluid Flow, 26, 587, 10.1016/j.ijheatfluidflow.2005.03.006 Deng, 2002, Interaction between heat sources in horizontal natural convection enclosures, Int. J. Heat Mass Transfer, 45, 5117, 10.1016/S0017-9310(02)00221-1 Bhowmik, 2005, Experimental study of transient natural convection heat transfer from simulated electronic chips, Exp. Therm. Fluid Sci., 29, 485, 10.1016/j.expthermflusci.2004.06.003 Leong, 1999, Experimental Nusselt numbers for a cubical-cavity benchmark problem in natural convection, Int. J. Heat Mass Transfer, 42, 1979, 10.1016/S0017-9310(98)00299-3 Mamun, 2003, Cubical-cavity natural-convection benchmark experiments: an extension, Int. J. Heat Mass Transfer, 46, 3655, 10.1016/S0017-9310(03)00155-8 Hinojosa, 2005, Nusselt number for the natural convection and surface thermal radiation in a square titled open cavity, Int. Commun. Heat Mass Transfer, 32, 1184, 10.1016/j.icheatmasstransfer.2005.05.007 Nwachukwu, 2008, Effect of an absorptive coating on solar energy storage in a Trombe wall system, Energy Build., 40, 371, 10.1016/j.enbuild.2007.03.004 Chan, 1985, Numerical study of natural convection in square open cavities, Numer. Heat Transfer, 8, 65, 10.1080/01495728508961842 Colomer, 2004, Three-dimensional numerical simulation of convection and radiation in a differentially heated cavity using the discrete ordinates method, Int. J. Heat Mass Transfer, 47, 257, 10.1016/S0017-9310(03)00387-9 Tou, 1999, 3D numerical analysis of natural convective liquid cooling of a 3×3 heater array in rectangular enclosures, Int. J. Heat Mass Transfer, 42, 3231, 10.1016/S0017-9310(98)00379-2 Tou, 2003, Three-dimensional numerical simulation of natural convection in an inclined liquid-filled enclosure with an array of discrete heaters, Int. J. Heat Mass Transfer, 46, 127, 10.1016/S0017-9310(02)00253-3 Xie, 2003, Nanofluids containing multi walled carbon nanotubes and their enhanced thermal conductivities, J. Appl. Phys., 94, 4967, 10.1063/1.1613374 Choi, 1995, Enhancing thermal conductivity of fluids with nano particles, ASME Fluids Eng. Div., 231, 99 Jang, 2004, The role of Brownian motion in the enhanced thermal conductivity of nanofluids, Appl. Phys. Lett., 84, 4316, 10.1063/1.1756684 Oztop, 2008, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29, 1326, 10.1016/j.ijheatfluidflow.2008.04.009 Hsu, 1997, Natural convection of micropolar fluids in an enclosure with heat sources, Int. J. Heat Mass Transfer, 40, 4239, 10.1016/S0017-9310(97)00072-0 Ho, 2008, Numerical simulation of natural convection of nanofluid in a square enclosure: effects due to uncertainties of viscosity and thermal conductivity, Int. J. Heat Mass Transfer, 51, 4506, 10.1016/j.ijheatmasstransfer.2007.12.019 Hammami, 2007, Transient natural convection in an enclosure with vertical solutal gradients, Solar Energy, 81, 476, 10.1016/j.solener.2006.08.004 Hwang, 2007, Buoyancy-driven heat transfer of water-based Al2O3 nanofluids in a rectangular cavity, Int. J. Heat Mass Transfer, 50, 4003, 10.1016/j.ijheatmasstransfer.2007.01.037 Putra, 2003, Natural convection of nanofluids, Heat Mass Transfer, 39, 775, 10.1007/s00231-002-0382-z Petit, 2008 Bauzin, 15122003 Alilat, 2004 Bouache, 14122006 Guenoun, 2008 Vintrou, 2009 Prud'homme, 2001, Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number, Int. J. Heat Mass Transfer, 44, 2011, 10.1016/S0017-9310(00)00266-0 Park, 2000, Inverse natural convection problem of estimating wall heat flux, Chem. Eng. Sci., 55, 2131, 10.1016/S0009-2509(99)00450-9 Park, 2000, Reduction of modes for the solution of inverse natural convection problems, Comput. Methods Appl. Mech. Eng., 190, 919, 10.1016/S0045-7825(99)00453-3 Park, 2001, The Karhunen–Loève Galerkin method for the inverse natural convection problems, Int. J. Heat Mass Transfer, 44, 155, 10.1016/S0017-9310(00)00092-2 Zhao, 2009, Numerical determination of boundary heat fluxes in an enclosure dynamically with natural convection through Fletcher–Reeves gradient method, Comput. Fluids, 38, 797, 10.1016/j.compfluid.2008.08.001 Payan, 2009, Inverse boundary design of square enclosures with natural convection, Int. J. Therm. Sci., 48, 682, 10.1016/j.ijthermalsci.2008.05.019 Bauzin, 2008, Estimation of thermal contact parameters at the interface of two sliding bodies, J. Phys., 135 Moutsoglou, 1989, An inverse convection problem, ASME J. Heat Transfer, 221, 37, 10.1115/1.3250655 Park, 1999, An inverse natural convection problem of estimating the strength of a heat source, Int. J. Heat Mass Transfer, 42, 4259, 10.1016/S0017-9310(99)00100-3 Zarco-Pernia, 2012, Optimisation des montages industriels et économie d’énergie par maîtrise de la convection naturelle dans les cavités thermiques diodes Gutiérrez, 1980 Zugari, 1984 Baïri, 1984 Nakamura, 1980, Heat transfer in a parallelogram shaped enclosure. 1st report, heat transfer by free convection, Bull. JSME, 23, 1827, 10.1299/jsme1958.23.1827 Baïri, 2005, Importance of radiative heat exchange in 2D closed diode cavities applied to solar collectors and building, Int. J. Sustain. Energy, 1, 33, 10.1080/14786450512331325901 Asako, 1982, Heat transfer in a parallelogram shaped enclosure (3rd report, combined free convection and radiation heat transfer), Bull. JSME, 25, 1419, 10.1299/jsme1958.25.1419 Han, 2008, Buoyant convection in a parallelogrammic enclosure filled with a porous medium – general analysis and numerical simulations, Int. J. Heat Mass Transfer, 51, 2980, 10.1016/j.ijheatmasstransfer.2007.09.015 Kim, 1998, Buoyant convection in a non-rectangular cavity with non-vertical insulating sidewalls, Int. J. Heat Mass Transfer, 42, 2111, 10.1016/S0017-9310(98)00312-3 Yüncü, 1991, Laminar natural convective heat transfer in an air-filled parallelogramic cavity, Int. Commun. Heat Mass Transfer, 18, 559, 10.1016/0735-1933(91)90069-G Naylor, 1994, A numerical study of free convective heat transfer in a parallelogram-shaped enclosure, Int. J. Numer. Methods Heat Fluid Flow, 4, 553, 10.1108/EUM0000000004113 Lee, 1984, Computational and experimental studies of convective fluid motion and heat transfer in inclined non-rectangular enclosures, Int. J. Heat Fluid Flow, 5, 29, 10.1016/0142-727X(84)90009-2 Zugari, 1994, Etude numérique du transfert de chaleur dans une cavité de forme parallélogrammatique et inclinée, à parois passives minces, C. R. Acad. Sci. Paris, 319, 1157 Costa, 2004, Double-diffusive natural convection in parallelogrammic enclosures filled with fluid-saturated porous media, Int. J. Heat Mass Transfer, 47, 2699, 10.1016/j.ijheatmasstransfer.2003.11.031 Costa, 2004, Double-diffusive natural convection in parallelogrammic enclosures, Int. J. Heat Mass Transfer, 47, 2913, 10.1016/j.ijheatmasstransfer.2004.03.008 Costa, 2005, Laminar natural convection in a vertical stack of parallelogrammic partial enclosures with variable geometry, Int. J. Heat Mass Transfer, 48, 779, 10.1016/j.ijheatmasstransfer.2004.09.012 Chung, 1982, Natural convection in a vertical stack of inclined parallelogrammic cavities, Int. J. Heat Mass Transfer, 25, 277, 10.1016/0017-9310(82)90013-8 Chamkha, 2012, Conduction-combined forced and natural convection in a lid-driven parallelogram-shaped enclosure divided by a solid partition, Prog. Comput. Fluid Dyn., 12, 309, 10.1504/PCFD.2012.049101 Dalal, 2009, A CFD study of convection in a doubleglazed window with an enclosed pleated blind, Energy Build., 41, 1256, 10.1016/j.enbuild.2009.07.024 Costa, 2009, Numerical simulation of natural convection heat transfer in a window with a between-panes venezian blind Avedissian, 2008, Free convective heat transfer in an enclosure with an internal louvered blind, Int. J. Heat Mass Transfer, 51, 283, 10.1016/j.ijheatmasstransfer.2007.03.042 Shahid, 2005, Energy performance assessment of a window with a horizontal Venetian blind, Energy Build., 37, 836, 10.1016/j.enbuild.2004.11.008 Anandalakshmi, 2012, Heat flow visualization for natural convection in rhombic enclosures due to isothermal and non-isothermal heating at the bottom wall, Int. J. Heat Mass Transfer, 55, 1325, 10.1016/j.ijheatmasstransfer.2011.09.006 Seki, 1983, An experimental study of free convective heat transfer in a parallelogrammic enclosure, ASME J. Heat Transfer, 105, 433, 10.1115/1.3245603 Almeida, 2011, Experimental study of free convection in a window with a heated between-panes blind, Energy Build., 43, 2647, 10.1016/j.enbuild.2011.06.010 Baïri, 2012, Free convection in parallelogram-shaped enclosures with isothermal active walls: viscous shear stress in active systems, Fluid Dyn. Res., 44, 14, 10.1088/0169-5983/44/5/055504 Baïri, 2011, Thermoregulation of electronics inside diode enclosures. Viscous shear stress in 2D natural convection generated by isothermal active walls Baïri, 2011, Transient free convection in passive buildings using 2D air-filled parallelogram-shaped enclosures with discrete isothermal heat sources, Energy Build., 43, 366, 10.1016/j.enbuild.2010.09.028 Baïri, 2008, 2D transient natural convection generated by constant heat flux in parallelogrammic enclosures Hyun, 1990, Transient natural convection in a parallelogram-shaped enclosure, Int. J. Heat Fluid Flow, 11, 129, 10.1016/0142-727X(90)90006-W Aldridge, 2001, Flow features of natural convection in a parallelogrammic enclosure, Int. Commun. Heat Mass Transfer, 28, 923, 10.1016/S0735-1933(01)00296-2 Baïri, 2010, Transient natural convection in parallelogrammic enclosures with isothermal hot wall. Experimental and numerical study applied to on-board electronics, Appl. Therm. Eng., 30, 1115, 10.1016/j.applthermaleng.2010.01.026 Zarco Pernia, 2009, Aérothermique et aérodynamique transitoires 2D dans les cavités parallélogrammatiques fermées avec paroi active chaude discrète. Convection naturelle appliquée à la régulation thermique des montages électroniques embarqués Baïri, 2010, Transient free convection in parallelogrammic cavities applied to the thermoregulation of avionics, Int. J. Eng. Syst. Model. Simul., 2, 58 Maekawa, 1982, Natural convection heat transfer in parallelogrammic enclosures, vol. 2, 227 Costa, 1993, Conveccao natural em Cavidades Paralelogramicas, vol. 2, 255 Baïri, 2012, 2D transient natural convection in diode cavities containing an electronic equipment with discrete active bands under constant heat flux, Int. J. Heat Mass Transfer, 55, 4970, 10.1016/j.ijheatmasstransfer.2012.04.032 Baïri, 2011, Effects of viscous shear stress on thermoregulation of electronics. Transient free convection in diode enclosures induced by discrete heat bands under constant heat flux, Appl. Therm. Eng., 31, 3308, 10.1016/j.applthermaleng.2011.06.009 Zarco-Pernia, 2012, Influence of the thermal capacity of the hot active wall on the 2D transient free natural convection in diode cavities Baïri, 2008, On the Nusselt Number definition adapted to natural convection in parallelogrammic cavities, Appl. Therm. Eng., 28, 1267, 10.1016/j.applthermaleng.2007.10.025 Baïri, 2011, Nusselt–Rayleigh correlations for free convection in 2D air-filled parallelogrammic enclosures with isothermal active walls, Heat Mass Transfer, 47, 589, 10.1007/s00231-010-0750-z Baïri, 2010, Nu–Ra Correlations for steady state laminar natural convection in 2D parallelogrammic enclosures García de María, 2010, Empirical correlations at high Ra for free convection in 2D air-filled parallelogrammic enclosures with isothermal discrete heat sources, Int. J. Heat Mass Transfer, 53, 3831, 10.1016/j.ijheatmasstransfer.2010.04.036 Baïri, 2013, Correlations for transient natural convection in parallelogrammic enclosures with isothermal hot wall, Appl. Therm. Eng., 51, 833, 10.1016/j.applthermaleng.2012.09.043 Baïri, 2013, Nu–Ra–Fo correlations for transient free convection in 2D convective diode cavities with discrete heat sources, Int. J. Heat Mass Transfer, 57, 623, 10.1016/j.ijheatmasstransfer.2012.10.050