Search results for "ROTATIONAL"

showing 10 items of 381 documents

Rotationally symmetric 1-harmonic flows from D2 TO S 2: Local well-posedness and finite time blowup

2010

The 1-harmonic flow from the disk to the sphere with constant Dirichlet boundary conditions is analyzed in the case of rotational symmetry. Sufficient conditions on the initial datum are given, such that a unique classical solution exists for short times. Also, a sharp criterion on the boundary condition is identified, such that any classical solution will blow up in finite time. Finally, nongeneric examples of finite time blowup are exhibited for any boundary condition.

Well-posed problemDirichlet problemApplied MathematicsMathematical analysisMathematics::Analysis of PDEsRotational symmetryMixed boundary conditionrotational symmetryferromagnetism; blowup; 1-harmonic flow; image processing; local existence; dirichlet problem; partial differential equations; rotational symmetryferromagnetism1-harmonic flowblowupimage processingComputational Mathematicssymbols.namesakeFlow (mathematics)Dirichlet boundary conditionsymbolspartial differential equationsInitial value problemBoundary value problemdirichlet problemAnalysislocal existenceMathematics
researchProduct

ECT of ethanol and hexane mixtures in the spinning disk system

2007

The paper presents the research results of electrostatic charging tendency (ECT) of ethanol and hexane mixtures, a liquid of a simple chemical structure and high purity (pro analysis). The research work was carried out in a spinning disk system, where the factors influencing the value of the electrification current registered were the composition of the mixture and the rotational speed of the disk. The research results showed that the biggest ECT changes occur in the range of up to 10% of ethanol content in hexane and the electrification current characteristic has a visible maximum for the mixture, the contents of which constitute 95% of hexane volume and 5% of ethanol by volume. In the nex…

Work (thermodynamics)EthanolTransformer oilAnalytical chemistryRotational speedCondensed Matter PhysicsSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsHexanechemistry.chemical_compoundchemistryVolume (thermodynamics)Spinning diskElectrical and Electronic EngineeringCurrent (fluid)BiotechnologyJournal of Electrostatics
researchProduct

On the improvement of material formability in SPIF operation through tool stirring action

2012

Single-point incremental forming (SPIF) is a quite new sheet-forming process which offers the possibility to deform complex parts without dedicated dies using a single-point tool and a standard three-axis CNC machine. The process mechanics enables higher strains with respect to traditional sheet-forming processes, but particular attention must be given to the maximum forming angle. In this paper, a new approach is proposed to enhance the material formability through a localized sheet heating as a consequence of the friction work caused by elevated tool rotational speeds. AA1050-O, AA1050-H24, and AA6082-T6 were utilized, and the reached temperatures were recorded by thermocouples, fixed to …

Work (thermodynamics)Materials scienceMechanical EngineeringIncremental formingAluminum alloysDRX MicrostructureProcess (computing)Mechanical engineeringRotational speedMicrostructureIndustrial and Manufacturing EngineeringAction (physics)Computer Science ApplicationsControl and Systems EngineeringThermocoupleNumerical controlFormabilitySoftware
researchProduct

In-process tool rotational speed variation with constant heat input in friction stir welding of AZ31 sheets with variable thickness

2017

In the present work, friction stir welding experiments on AZ31 magnesium alloy sheets, characterized by a variable thickness along the welding line, were carried out. The approach adapted during welding consisted in maintaining constant the heat input to the joint. To this purpose, the rotational speed of the pin tool was increased with decreasing thickness and decreased with increasing thickness in order to obtain the same temperatures during welding. The amount by which the rotational speed was changed as a function of the sheet thickness was defined on the basis of the results given by FEM simulations of the FSW process. Finally, the effect of the in-process variation of the tool rotatio…

Work (thermodynamics)Materials scienceMetallurgyRotational speedWeldingMicrostructurelaw.inventionPhysics and AstronomylawFriction stir weldingComposite materialMagnesium alloyConstant (mathematics)Joint (geology)Settore ING-IND/16 - Tecnologie E Sistemi Di Lavorazione
researchProduct

Outlining the Limits of Friction Stir Consolidation as Used as an Aluminum Alloys Recycling Approach

2021

Friction stir consolidation (FSC) is a solid-state process that recycles metal scraps economically and eco-friendly compared to the conventional melting method. The process parameters especially processing time and rotational speed, have a crucial role in achieving a sound disc during FSC. The current study answers the research question of how far these process parameters can be effective when the mass of chips to be recycled increases. In specific, an experimental setup was analyzed that was previously identified as challenging for recycling 20 g chips of aluminum alloy AA 2024-O. Rotational speed was set doubled, and processing time was increased up to 1.5 times of their initial values. T…

Work (thermodynamics)Materials scienceProcess parametersConsolidation (soil)AlloyProcess (computing)Friction stir consolidationchemistry.chemical_elementMechanical engineeringRotational speedengineering.materialRaising (metalworking)chemistryAluminiumengineeringRecycling aluminum chips
researchProduct

Spectroscopic studies of Tl containing high frequency electrodeless lamps

2014

In this work we estimate gas temperature from OH rotational spectrum at 306.4 nm and C 2 Swan band at 516.5 nm in thallium containing lamps during two working regimes: stable generation and self-modulation regime. The usage of both molecules allowed us to estimate gas temperature in different zones of the discharge. The measurement results show that the central part of discharge has temperature higher for about 400 K than in vicinity of lamp inner walls. The measurement results of self-modulation regime showed that rotational temperature variations are similar to that of atomic and molecular spectral line intensities with period being around 1 minute. More detailed analysis of temporal beha…

Work (thermodynamics)chemistryPeriod (periodic table)Analytical chemistryThalliumchemistry.chemical_elementMoleculeRotational temperaturePlasmaAtomic physicsSpectroscopySpectral lineSPIE Proceedings
researchProduct

A structural comparison of halloysite nanotubes of different origin by Small-Angle Neutron Scattering (SANS) and Electric Birefringence

2018

The structure of halloysite nanotubes (Hal) from different mines was investigated by Small-Angle Neutron Scattering (SANS) and Electric Birefringence (EBR) experiments. The analysis of the SANS curves allowed us to correlate the sizes and polydispersity and the specific surfaces (obtained by a Porod analysis of the SANS data) of the nanotubes with their specific geological setting. Contrast matching measurements were performed on patch Hal (from Western Australia) in order to determine their experimental scattering length density for a more precise analysis. Further characterization of the mesoscopic structure of Hal was carried out by Electric Birefringence (EBR), which allowed to study th…

Yarn Electric birefringenceSuperconducting materialPatch halloysiteHalloysite nanotube02 engineering and technologyengineering.materialNeutron scattering010402 general chemistry01 natural sciencesHalloysiteMolecular physicsPlants (botany)Structural descriptionGeochemistry and PetrologyKaoliniteRotational diffusion coefficientSettore CHIM/02 - Chimica FisicaMesoscopic physicsBirefringenceBirefringenceScattering length densityStructural analysiElectric BirefringenceRotational diffusionStructural comparisonScattering lengthGeologyHalloysite021001 nanoscience & nanotechnologySmall-angle neutron scattering0104 chemical sciencesCharacterization (materials science)NanotubeStructural knowledge Neutron scatteringengineeringSmall Angle Neutron Scattering0210 nano-technology
researchProduct

Observation of laser-induced field-free permanent planar alignment of molecules

2011

International audience; Permanent planar alignment of gas-phase linear molecules is achieved by a pair of delayed perpendicularly polarized short laser pulses. The experiment is performed in a supersonic jet, ensuring a relatively high number density of molecules with moderately low rotational temperature. The effect is optically probed on a femtosecond time scale by the use of a third short pulse, enabling a time-resolved birefringence detection performed successively in two perpendicular planes of the laboratory frame. The technique allows for an unambiguous estimation of the molecular planar delocalization produced within the polarization plane of the pulse pair after the turn-off of the…

[ PHYS.PHYS.PHYS-ATOM-PH ] Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph]Linear molecular geometry01 natural sciencesMolecular physicslaw.invention010309 opticsRotational dynamicsPlanarOpticslaw0103 physical sciencesUltrafast nonlinear optics010306 general physicsOptical Kerr effectPhysicsNumber densityBirefringence[PHYS.PHYS.PHYS-ATOM-PH]Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph]Molecular alignmentbusiness.industryFemtosecond phenomenaRotational temperature3710Vz 4250Hz 4250MdLaserPolarization (waves)Atomic and Molecular Physics and OpticsOptical polarigraphyFemtosecondbusiness
researchProduct

Symmetry-adapted tensorial formalism to model rovibrational and rovibronic spectra of molecules pertaining to various point groups

2004

International audience; We present a short review on the tensorial formalism developed by the Dijon group to solve molecular spectroscopy problems. This approach, originally devoted to the rovibrational spectroscopy of highly symmetrical species (spherical tops) has been recently extended in several directions: quasi-spherical tops, some symmetric and asymmetric tops, and rovibronic spectroscopy of spherical tops in a degenerate electronic state. Despite its apparent complexity (heavy notations, quite complex mathematical tools), these group theoretical tensorial methods have a great advantage of flexibility: a systematic expansion of effective terms for any rovib- rational/rovibronic probl…

[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Rovibrational spectroscopyRovibronic spectroscopySymmetrizationTensorial formalism02 engineering and technologyMolecular spectroscopyPoint group01 natural sciencesSpectral lineTheoretical physics[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Quantum mechanics0103 physical sciencesPhysics::Atomic and Molecular ClustersMoleculeLineshapesPhysical and Theoretical ChemistrySpectroscopySpectroscopyPhysics010304 chemical physicsDegenerate energy levelsRotational–vibrational spectroscopy021001 nanoscience & nanotechnologyAtomic and Molecular Physics and OpticsFormalism (philosophy of mathematics)Group theory0210 nano-technology
researchProduct

Analysis of highly excited 'hot' bands in the SO2 molecule: ν2 + 3ν3 - ν2 and 2ν1 + ν2 + ν3 - ν2

2010

International audience; We set up a variational procedure of assignments of transitions and we applied it to the analysis very weak 'hot' bands, v(2) + 3v(3) - v(2) and 2v(1) + v(2) + v(3) - v(2), of the SO2 molecule. As the first step of the study, the 'cold' bands, 3v(3) and 2v(1) + v(3), are re-analysed and transitions belonging to those bands are assigned up to the values of quantum numbers J(max.) = 60, K-a(max.) = 19, and J(max.) = 69, K-a(max.) = 20 for the bands 3v(3) and 2v(1) + v(3), respectively. After 'cleaning' the experimental spectrum from transitions belonging to the 3v(3) and 2v(1) + v(3) bands, a variational procedure was used that allowed us to assign 230 and 115 transiti…

[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]high-resolution spectraHIGH-RESOLUTION ANALYSISBiophysics02 engineering and technology01 natural sciences[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]0103 physical sciencesMoleculespectroscopic parametersHigh resolution spectraPhysical and Theoretical ChemistrySpectroscopyLASER SPECTROSCOPYMolecular BiologyHigh resolution analysis010304 chemical physicsChemistryCOMBINATION BAND021001 nanoscience & nanotechnologyCondensed Matter PhysicsQuantum numberNU-3 BANDINTENSITIESSULFUR-DIOXIDEExcited stateLINE POSITIONSVIBRATIONAL-STATESsulphur dioxideEQUILIBRIUM ROTATIONAL-CONSTANTSAtomic physics0210 nano-technologySUBMILLIMETER-WAVE SPECTRUM
researchProduct