Search results for "Thermal instability"

showing 4 items of 4 documents

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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FRACTAL STRUCTURES IN SINGLE CRYSTALS OF FERROELECTRIC LITHIUM NIOBATE GROWN UNDER STRONGLY UNSTABLE CONDITIONS

2009

Atomic force microscopy studies of lithium niobate single crystals containing heterogeneously distributed lanthanide (Gd) admixture and a regular domain structure of 100 nm to 1 μm steps obtained under conditions of severe thermal instability have revealed fractal structures of the size of 10 to 100 nm within regions of the regular domain structures. A super-structure of clustered defects with 1–2 nm steps explaining results of Raman spectra analysis is supposed to exist in the cation sub-lattice and formation of periodic fractal structures of the size of ∼1 nm–100 μm is suggested to take place in lithium niobate single crystals containing lanthanide admixture.

LanthanideMaterials scienceAtomic force microscopyLithium niobateCondensed Matter PhysicsMicrostructureFerroelectricityElectronic Optical and Magnetic Materialssymbols.namesakechemistry.chemical_compoundCrystallographyFractalchemistryControl and Systems EngineeringThermal instabilityChemical physicsMaterials ChemistryCeramics and CompositessymbolsElectrical and Electronic EngineeringRaman spectroscopyIntegrated Ferroelectrics
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Stability of Flow with Viscous Dissipation in a Horizontal Porous Layer with an Open Boundary Having a Prescribed Temperature Gradient

2010

Published version of an article in the journal: Transport in Porous Media. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/s11242-010-9588-6 A buoyancy-induced stationary flow with viscous dissipation in a horizontal porous layer is investigated. The lower boundary surface is impermeable and subject to a uniform heat flux. The upper open boundary has a prescribed, linearly varying, temperature distribution. The buoyancy-induced basic velocity profile is parallel and non-uniform. The linear stability of this basic solution is analysed numerically by solving the disturbance equations for oblique rolls arbitrarily oriented with respect to the basic velo…

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413PhysicsBuoyancyOPEN BOUNDARYGeneral Chemical EngineeringBoundary (topology)MechanicsRayleigh numberPOROUS LAYERengineering.materialCritical valueVISCOUS DISSIPATIONInstabilityCatalysisTHERMAL INSTABILITYPhysics::Fluid DynamicsTemperature gradientClassical mechanicsHeat fluxPRESCRIBED TEMPERATURE GRADIENTengineeringVDP::Technology: 500::Materials science and engineering: 520Linear stabilityTransport in Porous Media
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Die kinetik der allendimerisation, ein beitrag zum mechanismus

1971

Zusammenfassung The reaction kinetics of the dimerization of some polyhalogenated allenes with the general formula Cl2CCCCIX (X = Cl, Br, C6H5, COOEt) and of tetrabromoallene was studied by an IR spectrophotometric method. The reaction was found to be of strictly second order kinetics. The activation parameters were determined and the experimental data and the influence of the substituents were discussed in terms of the accepted general theory of allene cycloaddition. All data are in agreement with a non-concerted two-step electrocyclic addition mechanism. Within the experimental limits no paramagnetic species like a diradical could be detected by the ESR-method during the dimerization re…

DiradicalAlleneOrganic ChemistryPhotochemistryBiochemistryCycloadditionChemical kineticschemistry.chemical_compoundParamagnetismMonomerchemistryGeneral theoryComputational chemistryThermal instabilityDrug DiscoveryTetrahedron
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