Search results for "OLDS"

showing 10 items of 602 documents

Simulations of non-spherical particles suspended in a shear flow

2000

The lattice-Boltzmann method was used to investigate the effects of the shape and concentration of the particles on the rheological properties of non-Brownian suspensions for non-zero Reynolds numbers. Several case studies were analyzed and the methods used were found to give accurate predictions for these systems. The viscosity of suspensions of both spherical and non-spherical particles was determined as functions of shear rate and concentration of particles. It was shown that, for high shear rates, shear thickening appears. This phenomenon is particularly pronounced for particles of irregular shape.

DilatantMaterials scienceLattice Boltzmann methodsGeneral Physics and AstronomyThermodynamicsReynolds numberMechanicsShear ratePhysics::Fluid DynamicsCondensed Matter::Soft Condensed Mattersymbols.namesakeShear (geology)RheologyHardware and ArchitecturesymbolsShear flowBrownian motion
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Testing a theoretical resistance law for overland flow under simulated rainfall with different types of vegetation

2020

Abstract In this paper a recently theoretically deduced flow resistance equation, based on a power-velocity profile, was tested using data collected for overland flow under simulated rainfall carried out in plots with vegetation. The available data were obtained exploring a wide range of rainfall intensities (from 60 to 181 mm h−1) and slopes (from 3.6 to 39.6%), and with four different types of vegetation. The database, including measurements of flow velocity, water depth, cross sectional flow area, wetted perimeter and bed slope, was divided in four datasets (one for each vegetation type), which allowed the calibration of the relationship between the velocity profile parameter Γ, the slop…

Dimensional analysi010504 meteorology & atmospheric sciencesSoil science01 natural sciencessymbols.namesakeWetted perimeterVelocity profileFroude numbermedicineSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliVegetable cover0105 earth and related environmental sciencesEarth-Surface ProcessesReynolds numberLaminar flow04 agricultural and veterinary sciencesOpen channel flowOpen-channel flowSelf-similarityFlow (mathematics)Flow velocityFlow resistance040103 agronomy & agriculturesymbolsRainfall simulationSoil erosion0401 agriculture forestry and fisheriesEnvironmental sciencemedicine.symptomVegetation (pathology)
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Assessing an overland flow resistance approach under equilibrium sediment transport conditions

2021

Abstract In this study, for the first time, a theoretically deduced flow resistance equation was tested for an overland flow under equilibrium sediment transport conditions using available experimental data by Liu et al. for five Chinese soils. Initially the relationship among the velocity profile parameter Γ, the channel slope, the flow Reynolds number, the Froude number and the sediment concentration was calibrated using 90 measurements of the available database (Loessial, Cinnamon and Black soil) and tested by other 60 measurements (Red and Purple soil). The results proved that the Darcy–Weisbach friction factor can be accurately estimated by the proposed theoretical approach, with error…

Dimensional analysiFlow (psychology)Reynolds numberSoil scienceSediment transportSoil typeScale factorSelf-similaritysymbols.namesakeFlow resistanceVelocity profileSoil waterFroude numbersymbolsEnvironmental scienceSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliSurface runoffSediment transportEarth-Surface Processes
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Testing a theoretically-based overland flow resistance law by Emmett’s database

2021

Abstract The main aim of this paper was to test a recently theoretically deduced flow resistance equation, based on a power-velocity profile, using a wide database of available measurements carried out in laboratory and field experimental runs with overland flow under simulated rainfall. In comparison with previous calibrations and validations of this theoretically deduced flow resistance equation, the used database by Emmett is characterized by a wide range of rainfall intensities (from 79.2 to 303.5 mm h−1 for laboratory runs and from 178.3 to 215.9 mm h−1 for field investigations) and bed slopes (from 0.33 to 17% for laboratory runs and from 2.9 to 33.2% for field investigations). For th…

Dimensional analysiVegetationDatabaseReynolds numberLaminar flowcomputer.software_genreSelf-similaritysymbols.namesakeWetted perimeterOverland flowVelocity profileFlow (mathematics)Flow velocityLawRainfall simulationFroude numbersymbolsSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliEnvironmental scienceSurface runoffcomputerIntensity (heat transfer)Water Science and TechnologyJournal of Hydrology
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Periodicity vectors for labelled trees

2003

AbstractThe concept of a periodicity vector is introduced in the context of labelled trees, and some new periodicity theorems are obtained. These results constitute generalizations of the classical periodicity theorem of Fine and Wilf for words. The concept of a tree congruence is also generalized and the isomorphism between the lattice of tree congruences and the lattice of unlabelled trees (prefix codes) is established.

Discrete mathematicsMonoidPrefix codePeriodicityApplied MathematicsContext (language use)Congruence relationTree (graph theory)CombinatoricsFormal languagesLattice (music)Labelled treeCongruence (manifolds)Periodicity vectorDiscrete Mathematics and CombinatoricsIsomorphismMathematicsDiscrete Applied Mathematics
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Linear invariants of Riemannian almost product manifolds

1982

Using the decomposition of a certain vector space under the action of the structure group of Riemannian almost product manifolds, A. M. Naveira (9) has found thirty-six distinguished classes of these manifolds. In this article, we prove that this decomposition is irreducible by computing a basis of the space of invariant quadratic forms on such a space.

Discrete mathematicsPure mathematicsCurvature of Riemannian manifoldsGeneral MathematicsLinear invariantsFundamental theorem of Riemannian geometryRiemannian geometryManifoldsymbols.namesakeRicci-flat manifoldProduct (mathematics)symbolsDifferential topologyMathematics::Differential GeometryMathematicsMathematical Proceedings of the Cambridge Philosophical Society
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Topological classification of gradient-like diffeomorphisms on 3-manifolds

2004

Abstract We give a complete invariant, called global scheme , of topological conjugacy classes of gradient-like diffeomorphisms, on compact 3-manifolds. Conversely, we can realize any abstract global scheme by such a diffeomorphism.

Discrete mathematicsPure mathematicsMathematics::Dynamical SystemsTopological classificationTopological classificationGeometry and TopologyDiffeomorphismInvariant (mathematics)Topological conjugacyMathematics::Symplectic GeometryMorse–Smale diffeomorphismsMathematics3-manifoldsTopology
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Conjugate unstable manifolds and their underlying geometrized Markov partitions

2000

Abstract Conjugate unstable manifolds of saturated hyperbolic sets of Smale diffeomorphisms are characterized in terms of the combinatorics of their geometrized Markov partitions. As a consequence, the relationship between the local and the global point of view is also made explicit.

Discrete mathematicsSmale diffeomorphismsMathematics::Dynamical SystemsMarkov chainInvariant manifoldsGeometrized Markov partitionsPoint (geometry)Geometry and TopologyMathematics::Symplectic GeometryMathematics::Geometric TopologyConjugateMathematicsTopology and its Applications
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Classes of operators satisfying a-Weyl's theorem

2005

In this article Weyl's theorem and a-Weyl's theorem on Banach spaces are related to an important property which has a leading role in local spectral theory: the single-valued extension theory. We show that if T has SVEP then Weyl's theorem and a-Weyl's theorem for T are equivalent, and analogously, if T has SVEP then Weyl's theorem and a-Weyl's theorem for T are equivalent. From this result we deduce that a-Weyl's theorem holds for classes of operators for which the quasi-nilpotent part H0(I T ) is equal to ker (I T ) p for some p2N and every 2C, and for algebraically paranormal operators on Hilbert spaces. We also improve recent results established by Curto and Han, Han and Lee, and Oudghi…

Discrete mathematicsSpectral theoryGeneral MathematicsHilbert spaceBanach spacePropertySpectral theoremFredholm theorysymbols.namesakeKernel (algebra)Bounded functionsymbolsOperatorBounded inverse theoremtheorem holdsMathematics
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Application of a non linear local analysis method for the problem of mixed convection instability

2007

Abstract We consider the problem of laminar mixed convection flow between parallel, vertical and uniformly heated plates where the governing dimensionless parameters are the Prandtl, Rayleigh and Reynolds numbers. Using the method based on the centre manifold theorem which was derived from the general theory of dynamical systems, we reduce a three-dimensional simplified model of ordinary differential amplitude equations emanating from the original Navier-Stokes system of the problem in the vicinity of a trivial stationary solution. We have found that when the forcing parameter, the Rayleigh number, increases beyond the critical value Ra s , the stationary solution is a pitchfork bifurcation…

Dynamical systems theoryApplied MathematicsMechanical EngineeringMathematical analysisPrandtl numberReynolds numberLaminar flowRayleigh numberPhysics::Fluid DynamicsNonlinear systemsymbols.namesakePitchfork bifurcationMechanics of MaterialsCombined forced and natural convectionPhysical SciencessymbolsComputingMilieux_MISCELLANEOUSMathematics
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