Search results for "Porous channel"

showing 2 items of 2 documents

Onset of convection in a porous rectangular channel with external heat transfer to upper and lower fluid environments

2012

Published version of an article in the journal: Transport in Porous Media. Also available from the publisher at: http://dx.doi.org/10.1007/s11242-012-0018-9 The conditions for the onset of convection in a horizontal rectangular channel filled with a fluid saturated porous medium are studied. The vertical sidewalls are assumed to be impermeable and adiabatic. The horizontal upper and lower boundary walls are considered as impermeable and subject to external heat transfer, modelled through a third-kind boundary condition on the temperature field. The external fluid environments above and below the channel, kept at different temperatures, provide the heating-from-below mechanism which may lead…

ConvectionVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Materials scienceDarcy's lawBiot numberGeneral Chemical EngineeringThermodynamicsMechanicsCatalysisPhysics::Fluid Dynamicsanalytical solutionDarcy’s lawHeat transferBoundary value problemVDP::Technology: 500::Materials science and engineering: 520Porous mediumAdiabatic processrectangular porous channelDarcy–Bénard problemLongitudinal wavelinear stabilitythird-kind temperature conditions
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On the thermal instability in a horizontal rectangular porous channel heated from below by a constant flux

2014

Published version of an article in the journal: Journal of Physics: Conference Series. Also available from the publisher at: http://dx.doi.org/10.1088/1742-6596/501/1/012003 Open Access The onset of thermoconvective instability in a rectangular horizontal channel filled with a fluid-saturated porous medium is studied. The channel is heated from below with a constant flux. The top wall is maintained at a uniform constant temperature, while the lateral boundaries are permeable and perfectly conducting. The stability of the basic motionless state is analysed with respect to small-amplitude disturbances. The eigenvalue problem for the neutral stability condition is solved analytically for the n…

HistorySeries (mathematics)Chemistryhorizontal channelFluxMechanicsthermoconvective instabilityVDP::Mathematics and natural science: 400::Physics: 430Computer Science ApplicationsEducationPorous channelRAYLEIGH–BÉNARD PROBLEMPhysics::Fluid DynamicsRECTANGULAR DUCTClassical mechanicsPOROUS MEDIUMEIGENVALUESThermal instabilityLINEAR STABILITY ANALYSISConstant (mathematics)pos medium
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