Analysis of heatlines for natural convection within porous trapezoidal enclosures: Effect of uniform and non-uniform heating of bottom wall

International Journal of Heat and Mass Transfer - Tập 53 - Trang 5947-5961 - 2010
Tanmay Basak1, S. Roy2, Anjanna Matta3, I. Pop4
1Department of Chemical Engineering, Indian Institute of Technology Madras, Chennai 600036, India
2Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India
3Department of Mathematics, Indian Institute of Technology Madras, Chennai - 600036, India
4Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania

Tài liệu tham khảo

Magistri, 2006, Heat exchangers for fuel cell and hybrid system applications, J. Fuel Cell Sci. Technol., 3, 111, 10.1115/1.2173665 Stehlik, 2007, Heat transfer as an important subject in waste-to-energy systems, Appl. Therm. Eng., 27, 1658, 10.1016/j.applthermaleng.2006.07.003 Kragh, 2007, New counter flow heat exchanger designed for ventilation systems in cold climates, Energ. Build., 39, 1151, 10.1016/j.enbuild.2006.12.008 Gholap, 2007, Design and multi-objective optimization of heat exchangers for refrigerators, Appl. Energ., 84, 1226, 10.1016/j.apenergy.2007.02.014 Fan, 2007, A study on the performance of a geothermal heat exchanger under coupled heat conduction and groundwater advection, Energy, 32, 2199, 10.1016/j.energy.2007.05.001 Martynenko, 2005 Vafai, 2000 2005, vol. III Wang, 2007, Numerical investigation of natural convection in an inclined enclosure filled with porous medium under magnetic field, Int. J. Heat Mass Transfer, 50, 3684, 10.1016/j.ijheatmasstransfer.2007.01.045 Alvarez, 2007, Modelling turbulent flow and heat transfer using macro-porous media approach used to predict cooling kinetics of stack of food products, J. Food Eng., 80, 391, 10.1016/j.jfoodeng.2005.12.052 Hadim, 2006, Non-Darcy natural convection of a non-Newtonian fluid in a porous cavity, Int. Commun. Heat Mass Transfer, 33, 1179, 10.1016/j.icheatmasstransfer.2006.08.004 Chen, 2007, Forced convection heat transfer in microchannel heat sinks, Int. J. Heat Mass Transfer, 50, 2182, 10.1016/j.ijheatmasstransfer.2006.11.001 Chen, 2007, Free convection in a porous wavy cavity based on the Darcy–Brinkman–Forchheimer extended model, Numer. Heat Transfer A, 52, 377, 10.1080/10407780701301595 Phanikumar, 2002, Non-Darcy natural convection in high porosity metal foams, Int. J. Heat Mass Transfer, 45, 3781, 10.1016/S0017-9310(02)00089-3 Slimi, 2005, Anisotropy effects on heat and fluid flow by unsteady natural convection and radiation in saturated porous media, Numer. Heat Transfer A, 48, 763, 10.1080/10407780500196592 Nithiarasu, 1996, Double-diffusive natural convection in an enclosure filled with fluid-saturated porous medium: a generalized non-Darcy approach, Numer. Heat Transfer A, 30, 413, 10.1080/10407789608913848 Karimi-Fard, 1997, Non-Darcian effects on double-diffusive convection within a porous medium, Numer. Heat Transfer A, 31, 837, 10.1080/10407789708914067 Merrikh, 2002, Non-Darcy effects in buoyancy driven flows in an enclosure filled with vertically layered porous media, Int. J. Heat Mass Transfer, 45, 4305, 10.1016/S0017-9310(02)00135-7 Miranda, 2004, Convective heat transfer in a channel with porous baffles, Numer. Heat Transfer A, 46, 425, 10.1080/10407780490478515 Lauriat, 1989, Non Darcian effects on natural convection in a vertical porous enclosure, Int. J. Heat Mass Transfer, 32, 2135, 10.1016/0017-9310(89)90120-8 Baytas, 2001, Natural convection in a trapezoidal enclosure filled with a porous medium, Int. J. Eng. Sci., 39, 125, 10.1016/S0020-7225(00)00033-1 Varol, 2008, Numerical analysis of natural convection in an inclined trapezoidal enclosure filled with a porous medium, Int. J. Therm. Sci., 47, 1316, 10.1016/j.ijthermalsci.2007.10.018 Kimura, 1983, The heatline visualization of convective heat transfer, J. Heat Transfer, 105, 916, 10.1115/1.3245684 Morega, 1993, Heatline visualization of forced convection laminar boundary layers, Int. J. Heat Mass Transfer, 36, 3957, 10.1016/0017-9310(93)90146-W Dash, 1996, Heatline visualization in turbulent flow, Int. J. Numer. Meth. Heat Fluid Flow, 6, 37, 10.1108/09615539610123432 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. Mech. Rev., 59, 126, 10.1115/1.2177684 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, 2004, Double-diffusive natural convection in parallelogrammic enclosures, Int. J. Heat Mass Transfer, 47, 2913, 10.1016/j.ijheatmasstransfer.2004.03.008 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 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 Mukhopadhyay, 2002, On extension of heatline and massline concepts to reacting flows through use of conserved scalars, J. Heat Transfer – Trans. ASME, 124, 791, 10.1115/1.1473139 Mukhopadhyay, 2003, Visualization of scalar transport in nonreacting and reacting jets through a unified heatline and massline formulation, Numer. Heat Transfer A, 44, 683, 10.1080/716100519 Bejan, 2004 Kaluri, 2009, Bejan’s heatlines and numerical visualization of heat flow and thermal mixing in various differentially heated porous square cavities, Numer. Heat Transfer A, 55, 487, 10.1080/10407780902776348 Vafai, 1981, Boundary and inertia effects on flow and heat transfer in porous media, Int. J. Heat Mass Transfer, 24, 195, 10.1016/0017-9310(81)90027-2 Natarajan, 2008, Natural convection flows in a trapezoidal enclosure with uniform and non-uniform heating of bottom wall, Int. J. Heat Mass Transfer, 51, 747, 10.1016/j.ijheatmasstransfer.2007.04.027 Reddy, 1993 Du, 1992, Natural convection in vertical cavities with internal heat generating porous medium, Warme-und Stoffubertragung, Heat Mass Transfer, 27, 149 Basak, 2006, Natural convection in a square cavity filled with a porous medium: effects of various thermal boundary conditions, Int. J. Heat Mass Transfer, 49, 1430, 10.1016/j.ijheatmasstransfer.2005.09.018 Batchelor, 1993 Basak, 2008, Role of Bejans 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