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RESEARCH PRODUCT

Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation

D. Andrew S. ReesL. Storesletten

subject

ConvectioninclinationMaterials scienceonsetComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION02 engineering and technologyanisotropylcsh:Thermodynamics01 natural sciencesInstability010305 fluids & plasmasPhysics::Fluid Dynamicsporous media0203 mechanical engineeringlcsh:QC310.15-3190103 physical sciencesAstrophysics::Solar and Stellar Astrophysicsheat generationAnisotropyconvectionlcsh:QC120-168.85Fluid Flow and Transfer ProcessesMechanical EngineeringMechanicsRayleigh numberCondensed Matter PhysicsVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410Transverse plane020303 mechanical engineering & transportsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESHeat generationComputer Science::Programming Languageslcsh:Descriptive and experimental mechanicsAstrophysics::Earth and Planetary AstrophysicsInternal heatingPorous medium

description

The onset of convection in an inclined porous layer which is heated internally by a uniform distribution of heat sources is considered. We investigate the combined effects of inclination, anisotropy and internal heat generation on the linear instability of the basic parallel flow. When the Rayleigh number is sufficiently large, instability occurs and a convective motion is set up. It turns out that the preferred motion at convection onset depends quite strongly on the anisotropy ratio, &xi

yearjournalcountryeditionlanguage
2019-04-01Fluids
10.3390/fluids4020075http://dx.doi.org/10.3390/fluids4020075