Publication de 12 numéros par an
ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508
Indexed in
MICROSCOPIC MODELING OF THE TWO-TEMPERATURE MODEL FOR CONDUCTION IN HETEROGENEOUS MEDIA
RÉSUMÉ
We consider conduction in a two-phase composite solid or, equivalently, a stagnant porous medium saturated with a single fluid. In particular, we derive and calculate values for the interphase heat transfer coefficient, h, which multiplies the source/sink terms in the two-energy model for conduction in a porous medium. On allowing a uniform heat generation to take place within one of the phases, it is possible to determine h from the difference in the average temperatures of the two phases after the decay of transients. An exact analytical expression is obtained for periodic striped media, which suggests that a new nondimensional parameter might usefully be defined. Exact numerical solutions are obtained for randomly striped media. Precise expressions are also found for the two-dimensional checkerboard pattern and its three-dimensional analogue. We also consider other types of two-dimensional periodic media, and finally, randomly constituted media are analyzed.
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Celli M., Rees D.A.S., Barletta A., The effect of local thermal non-equilibrium on forced convection boundary layer flow from a heated surface in porous media, International Journal of Heat and Mass Transfer, 53, 17-18, 2010. Crossref
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Straughan B., Porous convection with local thermal non-equilibrium temperatures and with Cattaneo effects in the solid, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469, 2157, 2013. Crossref
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Patil P. M., Rees D. Andrew S., Linear Instability of a Horizontal Thermal Boundary Layer Formed by Vertical Throughflow in a Porous Medium: The Effect of Local Thermal Nonequilibrium, Transport in Porous Media, 99, 2, 2013. Crossref
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Nazari Mohsen, Shakerinejad Esmaeel, Nazari Morteza, Rees D. Andrew S., Natural Convection Induced by a Heated Vertical Plate Embedded in a Porous Medium with Transpiration: Local Thermal Non-equilibrium Similarity Solutions, Transport in Porous Media, 98, 1, 2013. Crossref
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Barletta A., Rees D.A.S., Local thermal non-equilibrium analysis of the thermoconvective instability in an inclined porous layer, International Journal of Heat and Mass Transfer, 83, 2015. Crossref
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Straughan B., Nonlinear stability in microfluidic porous convection problems, Ricerche di Matematica, 63, S1, 2014. Crossref
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Straughan B., Nonlinear Stability of Convection in a Porous Layer with Solid Partitions, Journal of Mathematical Fluid Mechanics, 16, 4, 2014. Crossref
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Barletta A., Celli M., Lagziri H., Instability of a horizontal porous layer with local thermal non-equilibrium: Effects of free surface and convective boundary conditions, International Journal of Heat and Mass Transfer, 89, 2015. Crossref
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Straughan B., Exchange of stability in Cattaneo–LTNE porous convection, International Journal of Heat and Mass Transfer, 89, 2015. Crossref
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Rees D. Andrew S., Nield Donald A., The effect of an embedded solid block on the onset of convection in a porous cavity, International Journal of Numerical Methods for Heat & Fluid Flow, 26, 3/4, 2016. Crossref
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Ouyang Xiao-Long, Xu Rui-Na, Jiang Pei-Xue, Three-equation local thermal non-equilibrium model for transient heat transfer in porous media: The internal thermal conduction effect in the solid phase, International Journal of Heat and Mass Transfer, 115, 2017. Crossref
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Cimmino Massimo, Baliga Bantwal Rabi, Evaluation of the interfacial conduction heat transfer coefficient in two-temperature macroscopic models of homogenous porous media using a fully developed unsteady microscopic model in periodic unit cells, Numerical Heat Transfer, Part B: Fundamentals, 71, 3, 2017. Crossref
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Celik Hasan, Mobedi Moghtada, Manca Oronzio, Ozkol Unver, Lewis RW, A pore scale analysis for determination of interfacial convective heat transfer coefficient for thin periodic porous media under mixed convection, International Journal of Numerical Methods for Heat & Fluid Flow, 2017. Crossref
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Ouarzazi M.N., Hirata S.C., Barletta A., Celli Michele, Finite amplitude convection and heat transfer in inclined porous layer using a thermal non-equilibrium model, International Journal of Heat and Mass Transfer, 113, 2017. Crossref
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Franchi Franca, Nibbi Roberta, Straughan Brian, Modelling Bidispersive Local Thermal Non-Equilibrium Flow, Fluids, 2, 3, 2017. Crossref
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Nield Donald A., Bejan Adrian, Heat Transfer Through a Porous Medium, in Convection in Porous Media, 2017. Crossref
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Shankar B. M., Shivakumara I. S., Effect of Local Thermal Nonequilibrium on the Stability of Natural Convection in an Oldroyd-B Fluid Saturated Vertical Porous Layer, Journal of Heat Transfer, 139, 4, 2017. Crossref
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Gandomkar A., Gray K.E., Local thermal non-equilibrium in porous media with heat conduction, International Journal of Heat and Mass Transfer, 124, 2018. Crossref
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Straughan B., Anisotropic bidispersive convection, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475, 2227, 2019. Crossref
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Dayananda R. N., Shivakumara I. S., Impact of Thermal Non-equilibrium on Weak Nonlinear Rotating Porous Convection, Transport in Porous Media, 130, 3, 2019. Crossref
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Svanadze Merab, On the linear theory of double porosity thermoelasticity under local thermal non-equilibrium, Journal of Thermal Stresses, 42, 7, 2019. Crossref
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Bidin Biliana, Rees D. Andrew S., Pattern selection for Darcy-Bénard convection with local thermal nonequilibrium, International Journal of Heat and Mass Transfer, 153, 2020. Crossref
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Hemanthkumar C., Shivakumara I. S., Thermal instability of an Oldroyd-B fluid-saturated porous layer: implications of pressure gradient and LTNE temperatures, SN Applied Sciences, 2, 4, 2020. Crossref
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Pulvirenti Beatrice, Celli Michele, Barletta Antonio, Flow and Convection in Metal Foams: A Survey and New CFD Results, Fluids, 5, 3, 2020. Crossref
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Gentile M., Straughan B., Bidispersive thermal convection with relatively large macropores, Journal of Fluid Mechanics, 898, 2020. Crossref
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Challoob Huda A., Harfash Assma Jassim, Harfash Akil J., Bidispersive thermal convection with relatively large macropores and generalized velocity and temperature boundary conditions, Physics of Fluids, 33, 1, 2021. Crossref
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Shivakumara I.S., Shankar B.M., Kumar S.B. Naveen, On the stability of thermosolutal rotating porous convection subject to a lack of thermal equilibrium, International Communications in Heat and Mass Transfer, 133, 2022. Crossref
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Capone Florinda, Gianfrani Jacopo A., Onset of convection in LTNE Darcy–Brinkman anisotropic porous layer: Cattaneo effect in the solid, International Journal of Non-Linear Mechanics, 139, 2022. Crossref
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Baek Ji-Young, Park Byeong-Hak, Rau Gabriel C., Lee Kang-Kun, Experimental evidence for local thermal non-equilibrium during heat transport in sand representative of natural conditions, Journal of Hydrology, 608, 2022. Crossref
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Bansal A., Suthar Om P., A study on the effect of temperature modulation on Darcy–Bénard convection using a local thermal non-equilibrium model, Physics of Fluids, 34, 4, 2022. Crossref
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Lauerer Alexander, Lunev Artem, Experimental evidence of gas-mediated heat transfer in porous solids measured by the flash method, International Journal of Thermal Sciences, 184, 2023. Crossref
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Shankar B. M., Nagamani K. V., Shivakumara I. S., The role of a second diffusing component on the Gill–Rees stability problem, Scientific Reports, 12, 1, 2022. Crossref