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Search results for: PARTICLE SIZE

  • Hydraulic equations for vortex separators dimensioning

    Publication

    - Year 2017

    The paper presents a set of hydraulic expressions developed to design vortex separators. These devices are used for gravitational removal of suspensions from wastewater. Measurements and theoretical considerations allowed the authors to formulate a mathematically simple velocity field model. Than, equations describing particle motion in the separator were derived. Finally, a technical procedure for hydraulic design of vortex separators...

  • Research on flue gas flow measurement and modelling in the moving grate biomass boiler

    Publication

    - Year 2013

    The aim of this research was to determine the nature of gas flow in a grate boiler model by the method of Particle Image Velocimetry (PIV) and CFD. The paper presents the comparison of the PIV results with numerical simulations made in the environment of ANSYS Fluent. The main goal of the experiment was to describe the phenomena occurring on the grate. Methodology of modelling solid fuel combustion on the moving grate was proposed...

  • Modelling of Curvature of the Railway Track Geometrical Layout Using Particle Swarm Optimization

    Publication

    A method of railway track geometrical layout design, based on application of cubic C-Bezier curves for describing the layout curvature is presented in the article. The control points of a cubic C-Bezier curve are obtained in an optimization process carried out using Particle Swarm Optimization algorithm. The optimization criteria are based on the evaluation of the dynamic interactions and satisfaction of geometrical design requirements.

  • LCT, PIV and IR Imaging Detection in Selected Technical and Biomedical Applications

    Paper presents the brief summary of the history of Thermochromic liquid crystals (TLC), Particle Image Velocimetry (PIV) and Infrared Imaging Themography (IR). Principal methods and tools are described and some examples are presented. With this objective, a new experimental technique have been developed and applied to the study of heat and mass transfer and for biomedical diagnosis. Selected results of experiments using these methods...

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  • Electrohydrodynamic Flow Patterns in a Narrow Electrostatic Precipitator with Longitudinal Wire Electrode for Various Electrode Geometries

    Recently narrow electrostatic precipitators (ESPs) have become a subject of interest because of their possible application in diesel engines. In this paper results of 2-dimensional (2D) Particle Image Velocimetry (PIV) measurements of the flow patterns in a narrow ESP for a various electrode geometries are presented. The PIV measurements were carried out in the observation plane that is perpendicular to the ESP duct. The ESP was...

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  • Simulation of hybridized nanofluids flowing and heat transfer enhancement via 3-D vertical heated plate using finite element technique

    Publication

    - Scientific Reports - Year 2022

    The present study probed the creation of heat energy and concentrating into Newtonian liquids across vertical 3D-heated plates. The role of the Soret and Dufour theories in concentrating and energy formulas is discussed. The role of hybrid nanoparticles is introduced to illustrate particle efciency in terms of solute and thermal energy. It is removed a viscous dissipation process and a changing magnetic feld. The proposed approach...

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  • Zastosowanie metody Particle Image Velocimetry do analuizy zmain objetościowych podczas przpeływu silosowego na podstawie radiografów

    Publication

    - Year 2010

    W artykule przedstawiono wyniki pomiarów zmian objetośicowych zachodzących w materiale sypki podczas oprozniania silosu prostokątnego wyznacozne przy pomocy metody PIV (Particle Image Velocimetry) na podstwie radigrafow uzyskanych metoda tzw. projekcji ciągłej. Omówiono wpływ parametrow zmiennych takich jak zagęszczenie początkowe oraz szorstkość ścian na wielkość zmian objętościowych

  • Modal parameters identification with Particle Swarm Optimization

    Publication

    The paper presents method of the modal parameters identification based on the Particle Swarm Optimization (PSO) algorithm [1]. The basic PSO algorithm is modified in order to achieve fast convergence and low estimation error of identified parameters values. The procedure of identification as well as algorithm modifications are presented and some simple examples for the SISO systems are provided. Results are compared with the results...

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  • On various modelling approaches to real-time visualisation of blood flow

    Publication

    This paper reviews various modelling approaches to real-time visualisation of blood flow. These include classic, macroscale approach based on the momentum conservation equation together with a proper constitutive equation. Moreover, modern micro- and mesoscale approaches, such as molecular dynamics and dissipative particle dynamics, are discussed. Advantages and disadvantages of the discussed methods are highlighted with particular...

  • A benchmark for particle shape dependence

    Publication
    • G. Combe
    • C. Nouguier-Lehon
    • E. Azéma
    • K. Szarf
    • B. Saint-Cyr
    • M. Chaze
    • F. Radjaï
    • P. Villard
    • J. Delenne
    • V. Richefeu... and 3 others

    - Year 2013

    Particle shape is a major parameter for the space-filling and strength properties of granular materials. For a systematic investigation of shape effect, a numerical benchmark test was set up within a collaborative group using different numerical methods and particles of various shape characteristics such as elongation, angularity and nonconvexity. Extensive 2D shear simulations were performed in this framework and the shear strength...

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  • Spectrum-based modal parameters identification with Particle Swarm Optimization

    Publication

    - MECHATRONICS - Year 2016

    The paper presents the new method of the natural frequencies and damping identification based on the Artificial Intelligence (AI) Particle Swarm Optimization (PSO) algorithm. The identification is performed in the frequency domain. The algorithm performs two PSO-based steps and introduces some modifications in order to achieve quick convergence and low estimation error of the identified parameters’ values for multi-mode systems....

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  • Particle shape dependence in 2D granular media

    Publication
    • C. Cegeo
    • B. Saint-Cyr
    • K. Szarf
    • C. Voivret
    • E. Azéma
    • V. Richefeu
    • J. Delenne
    • G. Combe
    • C. Nouguier-Lehon
    • P. Villard... and 3 others

    - EPL-EUROPHYS LETT - Year 2012

    Particle shape is a key to the space-filling and strength properties of granular matter. We consider a shape parameter eta describing the degree of distortion from a perfectly spherical shape. Encompassing most specific shape characteristics such as elongation, angularity and non-convexity, eta is a low-order but generic parameter that we used in a numerical benchmark test for a systematic investigation of shape dependence in sheared...

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  • Discussion on “Coupled effective stress analysis of insertion problems in geotechnics with the Particle Finite Element Method” by L. Monforte, M. Arroyo, J.M. Carbonell, and A. Gens

    Addressed here is the Particle Finite Element Method (PFEM) modelling of undrained CPTu penetration with regard to a reference analytical solution based on the Spherical Cavity Expansion Method (SCEM). Also discussed is the choice of the soil model and its parameters. The effect of cone interface friction on CPTu simulation is analyzed in a series of penetration tests using Arbitrary Lagrangian-Eulerian (ALE) and Updated Lagrangian...

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  • Application of Particle Image Velocimetry method for monitoring the volume changes during silo flow on the basis of X-radiographs

    Publication

    - Automatyka / Automatics - Year 2011

    W artykule przedstawiono wyniki badań nad zastosowaniem techniki pomiarowej PIV (Particle Image Velocimetry) do analizy zmian objętościowych zachodzących w materiale sypkim w czasie opróżniania silosu prostokątnego. Jako mateirły do analizy wykorzystano cyfrowe radiografy uzyskane z kontynualnej rejestracji z użyciem systemu tomografii promieni X. Szcególny nacisk położono na analizę zmian objętościowych zachodzącyh w kanale przepływu.

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  • Modelowanie krzywizny układu geometrycznego toru z wykorzystaniem algorytmu PSO

    W artykule przedstawiono metodę projektowania układu geometrycznego toru kolejowego opartą na zastosowaniu sześciennych krzywych C-Bezier do opisu krzywizny. Punkty kontrolne krzywej Bezier wyznaczane są w procesie optymalizacji za pomocą algorytmu roju cząstek (Particle Swarm Optimization). Jako kryterium optymalizacji przyjęto minimalizację oddziaływań dynamicznych występujących w układzie tor-pojazd przy spełnieniu warunków...

  • Correlated Particle Motion and THz Spectral Response of Supercritical Water

    Publication

    - PHYSICAL REVIEW LETTERS - Year 2016

    Molecular dynamics simulations of supercritical water reveal distinctly different distance-dependent modulations of dipolar response and correlations in particle motion compared to ambient conditions. The strongly perturbed H-bond network of water at supercritical conditions allows for considerable translationaland rotational freedom of individual molecules. These changes give rise to substantially different infrared spectra and...

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  • Extended micropolar approach within the framework of 3M theories and variations thereof

    Publication

    - CONTINUUM MECHANICS AND THERMODYNAMICS - Year 2022

    As part of his groundbreaking work on generalized continuum mechanics, Eringen proposed what he called 3M theories, namely the concept of micromorphic, microstretch, and micropolar materials modeling. The micromorphic approach provides the most general framework for a continuum with translational and (internal) rotational degrees of freedom (DOF), whilst the rotational DOFs of micromorphic and micropolar continua are subjected...

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  • Badania deformacji w materiałach sypkich podczas dynamicznego przepływu w silosach

    Publication

    - Year 2014

    Monografia stanowi próbę połączenia analizy zagadnień powstawania zmian objętościowych oraz pomiaru zmian koncentracji materialu sypkiego podczas opróżniania silosu. W pracy przedstwiono wyniki pomiarów wykonanych z zastooswaneim metody Particle Image Velocimetry, Electrical Capacitance Toomography oraz promieniowania rentgenowskiego. Zamieszczono równeiz wyniki obliczeń wykoanaych z zastooswaniem metody DEM (Discrete Element...

  • Air flow phenomena in the model of the blind drift

    Publication

    - EPJ Web of Conferences - Year 2016

    In the presented paper, Particle Image Velocimetry (PIV) has been used to investigate flow pattern and turbulent structure in the model of blind drift. The presented model exist in mining, and has been analyzed to resolve ventilation issues. Blind region is particularly susceptible to unsafe methane accumulation. The measurement system allows us to evaluate all components of the velocity vector in channel cross-section simultaneously....

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  • Experimental and Numerical Investigation of Tensile and Flexural Behavior of Nanoclay Wood-Plastic Composite

    Publication

    - Materials - Year 2021

    In this study, the effect of wood powder and nanoclay particle content on composites’ mechanical behavior made with polyethylene matrix has been investigated. The wood flour as a reinforcer made of wood powder was at levels of 30, 40, and 50 wt.%, and additional reinforcement with nanoclay at 0, 1, 3, and 5 wt.%. Furthermore, to make a composite matrix, high-density polyethylene was used at levels of 70, 60, and 50% by weight....

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  • Comparative 3D DEM simulations of sand–structure interfaces with similarly shaped clumps versus spheres with contact moments.

    Three-dimensional simulations of a monotonic quasi-static interface behaviour between initially dense cohesionless sand and a rigid wall of different roughness during tests in a parallelly guided direct shear test under constant normal stress are presented. Numerical modelling was carried out by the discrete element method (DEM) using clumps in the form of convex non-symmetric irregularly shaped grains. The clumps had an aspect...

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  • An Experimental and Numerical Study of Tip Vortex Cavitation

    Publication

    - Polish Maritime Research - Year 2011

    Artykuł przedstawia eksperymentalne i numeryczne badanie kawitujacych wirów wierzchołkowych. Eksperymenty przeprowadzono w tunelu kawitacyjnym na modelu płata nośnego, wykonując pomiary pola prędkości wokół wiru przy pomocy metody Particle Image Velocimetry (PIV). Równolegle przeprowadzono numeryczne symulacje kawitującego wiru wierzchołkowego dla różnych parametrów przepływu. Symulacje wykonano programami Fluent i CFX, stosując...

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  • From flow to jamming: Lattice Gas Automaton simulations in granular materials

    Publication

    - POWDER TECHNOLOGY - Year 2024

    We introduce the first extension of a Lattice Gas Automaton (LGA) model to accurately replicate observed emergent phenomena in granular materials with a special focus on previously unexplored jamming transitions by incorporating gravitational effects, energy dissipation in particle collisions, and wall friction. We successfully reproduce flow rate evolution, density wave formation, and jamming transition observed in experiments....

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  • Combining X-ray tomogrpahy imaging and DEM simulations to investigate granular material flow during silo discharging

    Publication

    - Year 2018

    Even after few decades of research, the study of particle motion taking place during silo discharging hasn’t been fully addressed, both experimentally and numerically, because of nontrivial behaviors that occur during associated flow patterns. For instance, discrete element method (DEM) has shown good qualitative prediction potential of velocity profile, but, on the other hand, frequently failed to match quantitatively experimental...

  • Larmor diamagnetism and Van Vleck paramagnetism in relativistic quantumtheory: the Gordon decomposition approach

    Publication

    We consider a charged Dirac particle bound in a scalar potential perturbed by a classical magnetic field derivable from a vector potential A(r). Using a procedure based on the Gordon decomposition of a field-induced current, we identify diamagnetic and paramagnetic contributions to the second-order perturbationtheory correction to the particle's energy. In contradiction to earlier findings, based on the sum-over-states approach,...

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  • Particle Image Velocimetry Measurements of Airflow in Electrohydrodynamic Device for Dust Particle Collection

    Publication

    In this paper the pumping effect of air in the electrohydrodynamic (EHD) device for dust particle collection is presented. To induce an airflow in this EHD device corona discharge was used. The discharge was generated between the one-sided spike electrodes and the plate electrodes. The asymmetric electric field and generated discharge resulted in a unidirectional airflow through the EHD device. The current-voltage characteristics...

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  • Smooth Particle Hydrodynamics (SPH) approach in simulating large penetration into soil

    Publication

    - Year 2012

    A study of Smooth Particle Hydrodynamics (SPH) approach for predicting large soil deformation is presented. Theoretical basics of SPH method, including the equations governing, discussion of the importance of smoothing function length, contact formulation, boundary treatment and finally utilization in hydrocodes simulations are presented. An application of SPH to a real case of large penetrations (crater creating) into soil caused...

  • ESTYMACJA WSPÓŁCZYNNIKÓW SZTYWNOŚCI ZAMOCOWANIA PODATNEGO PRZEDMIOTU OBRABIANEGO NA STOLE FREZARKI

    Publication

    W pracy przedstawiono metodę estymacji współczynników sztywności Elementów Sprężystych (ES) modelujących zamocowanie podatnego wielkogabarytowego przedmiotu obrabianego na stole frezarki. Proponowana metoda bazuje na algorytmie optymizacji za pomocą roju cząstek (ang. Particle Swarm Optimization), który pozwala na uzyskanie dobrej zgodności (aktualizacji) modelu Metody Elementów Skończonych (MES) z modelem pochodzącym z identyfikacji...

  • Mixed, quantum-classical description of electron density transfer in the collision process

    Publication

    - MOLECULAR PHYSICS - Year 2024

    In this work, we investigate an ion-atom model describing the time-dependent evolution of electron density during the collision. For a S3+- H system, numerical simulations are based on classical trajectory calculations, and the electron density behaviour is described with the time-dependent Schrödinger equation. We apply the finite difference method to obtain quantitative insights into the charge transfer dynamics, providing detailed...

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  • A Numerical Model Study on Ice Boom in a Coastal Lake

    Publication

    - JOURNAL OF COASTAL RESEARCH - Year 2013

    A numerical study on the effectiveness of the proposed ice boom to be installed near the entrance of Lake Notoro, Hokkaido, Japan to prevent sea ice moving into the lake is presented. A two-dimensional hydro–ice dynamics model was modified to allow for the treatment of ice-boom interaction with the effect of tidal current. The numerical model is a coupled hydrodynamic and ice dynamic model. The ice dynamic component uses a Lagrangian...

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  • Pumping effect measured by PIV method in multi-layer spike electrode EHD device for air cleaning

    Publication

    - Year 2012

    Dust particles can be harmful for human health when inhaled. Especially dangerous are submicron dust particles, which can contain traces of toxic elements and can easily penetrate into human respiratory system. Thus, new devices for air cleaning are needed. In this work the flow velocity field patterns measured by Particle Image Velocimetry (PIV) method in an electrohydrodynamic (EHD) device for air cleaning are presented. The...

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  • Zarządzanie opóźnieniami w ruchu kolejowym

    Publication

    - Year 2012

    Zarządzanie opóźnieniami w ruchu kolejowym zostało przedstawione jako wielokryterialny problem optymalizacyjny, do rozwiązania którego został użyty model ogólny (job-shop) szeregowania zadań. W artykule przedstawiono sposób zastosowania trzech algorytmów metaheurystycznych: algorytmu genetycznego (Genetic Algorithm), algorytmu roju (Particle Swarm Optimization) i algorytmu mrówkowego (Ant Colony Optimization) do znalezienia optymalnego...

  • Yade-open DEM: an open-source software using a discrete element methodto simulate granular material

    Publication

    - ENGINEERING COMPUTATIONS - Year 2008

    Purpose - YADE-OPEN DEM is an open source software based on the Discrete Element Method which uses object oriented programming techniques. The paper describes the softwarearchitecture.Design/methodology/approach - The DEM chosen uses position, orientation, velocity and angular velocity as independent variables of simulated particles which are subject to explicit leapfrog time-integration scheme (Lagrangian method). The three-dimensional...

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  • NUMERICAL SIMULATION OF CRATER CREATING PROCESS IN DYNAMIC REPLACEMENT METHOD BY SMOOTH PARTICLE HYDRODYNAMICS

    A theoretical base of SPH method, including the governing equations, discussion of importance of the smoothing function length, contact formulation, boundary treatment and finally utilization in hydrocode simulations are presented. An application of SPH to a real case of large penetrations (crater creating) into the soil caused by falling mass in Dynamic Replacement Method is discussed. An influence of particles spacing on method...

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  • Silniki elektryczne w kosmonautyce

    Publication

    - Year 2012

    Artykuł jest pracą przeglądową dotyczącą silników elektrycznych (EP - Electric Propulsion)wykorzystywanych w kosmonautyce. Bardziej szczegółowo opisano działanie silnika elektrostatycznego działającego w oparciu o efekt Halla (HET - Hall Effect Thruster). Silnik ten jest powszechnie wykorzystywany w pozycjonowaniu satelitów, potencjalnie może być wykorzystany do dalekich misji planetarnych. HET jest obiektem wielu badań doświadczalnych...

  • Wearable system supporting navigation of the blind

    Improving blind people comfort of life is a problem ofgreat importance. Fortunately, new technolgies provide us withadditional methods to improve everyday life of the blind and visuallyimpaired. The paper presents experimental system made byresearchers from Department of Geoinformatics of Gdansk Universityof Technology, which is capable of finding the route from theindicated source to chosen destination, using dedicated digital...

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  • Role of nitrogen in optical and electrical band gaps of hydrogenated/hydrogen free carbon nitride film

    Publication

    - THIN SOLID FILMS - Year 2013

    We report the optical and electrical band gap energy of amorphous hydrogenated carbon nitride (a-HCNx) and carbon nitride (a-CNx) as a function of nitrogen concentration (N/C). The optical band gap of a-HCNx and a-CNx films has been determined by means of Ellipsometry and UV-VIS. Both optical and electrical band gaps increase with elevated nitrogen concentration. Experimentally obtained electrical band gap is compared with the...

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  • INFLUENCE OF SOLID PARTICLE CONTAMINATION ON THE WEAR PROCESS IN WATER LUBRICATED MARINE STRUT BEARINGS WITH NBR AND PTFE BUSHES

    Publication

    This paper reports on a study of the influence of solid particle contamination on the wear process in water-lubricated slide bearings (steel-acrylonitrile-butadiene rubber (NBR) and steel- polytetrafluoroethylene (PTFE)). To compare the wear of the shaft journal and bushes (NBR and PTFE) when lubricated with fresh water and contaminated water, an experiment was carried out to identify key factors that influence the state of wear...

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  • Mesoscopic simulations of crack propagation in concrete using cohesive elements

    Publication

    The paper presents results of two-and three-dimensional meso-scale simulations of fracture in notched concrete beams subjected to three-point bending test. Concrete was assumed as a 3-phase material composed of aggregate grains placed in the cement matrix with Interfacial Transitional Zones (ITZs) between then. In 2D simulations macro-voids were also taken into account. The particle distribution was taken from real concrete beams...

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  • Reconstruction of 3D structure of positive corona streamer by local methods

    Publication
    • M. Kocik
    • M. Tański
    • J. Mizeraczyk
    • R. Ichiki
    • S. Kanazawa
    • J. Dembski

    - Year 2009

    The computer algorithms were used for reconstruction of streamer 3D structure. We propose the 3D tree structure model of corona discharge streamer composed with nodes and edges between chosen couples of nodes, which enables easy computation of some important parameters ofstreamers. The 3D model can be derived directly from two projection images by global methods like evolutionary searching or particle simulations. In this paper...

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  • Measuring the density of DNA films using ultraviolet-visible interferometry

    Publication

    - PHYSICAL REVIEW E - Year 2013

    In order to determine a proper value for the density of dry DNA films we have used a method based upon the measurement of interference effects in transmission spectra of thin DNA layers. Our results show that the methodology is effective and the density of DNA in this state, 1.407 g/cm3, is much lower than the commonly used 1.7 g/cm3. Obtaining accurate values for the DNA film density will allow the optical constants for DNA to...

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  • Possible effects of the 1984 St. Clair River ice jam on bed changes

    Publication

    This study examines the possible effect of the record ice jam of 1984 in the St. Clair River on river bed changes and conveyance. Numerical simulations were made to examine the flow and bed shear stresses during the jam formation and release periods. Simulation results indicate that the ice jam in the river did not cause a significant increase in bed shear stress compared to pre- and post-jam open water conditions. The insignificant...

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  • Hierarchical Estimation of Human Upper Body Based on 2D Observation Utilizing Evolutionary Programming and 'Genetic Memory'

    New method of the human body pose estimation based on single camera 2D observation is presented. It employs 3D model of the human body, and genetic algorithm combined with annealed particle filter for searching the global optimum of model state, best matching the object's 2D observation. Additionally, motion cost metric is employed, considering current pose and history of the body movement, favouring the estimates with the lowest...

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  • Designing Particle Kalman Filter for Dynamic Positioning

    Publication

    The article presents a comparative analysis of two variants of the Particle Kalman Filter designed by using two different ship motion models. The first filter bases only on the kinematic model of the ship and can be used in many types of vehicles, regardless of the vehicle dynamics model. The input value to the filter is the noisy position of the ship. The second filter makes use of the kinematic and dynamic models of the moving...

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  • Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate

    Publication

    - Scientific Reports - Year 2022

    In the current study, a vertical, 3D-heated plate is used to replicate the generation of heat energy and concentration into Prandtl liquid. We discuss how Dufour and Soret theories relate to the equations for concentration and energy. In order to see how efectively particles, interact with heat and a solvent, hybrid nanoparticles are used. It does away with the phenomena of viscous dissipation and changing magnetic felds. The motivation...

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  • Particle Shape Effect on Macroscopic Behaviour of Underground Structures: Numerical and Experimental Study

    Publication

    - Year 2013

    The mechanical performance of underground flexible structures such as buried pipes or culverts made of plastics depend not only on the properties of the structure, but also the material surrounding it. Flexible drains can deflect by 30% with the joints staying tight, or even invert. Large deformations of the structure are difficult to model in the framework of Finite Element Method, but straightforward in Discrete Element Methods....

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  • Influence of sludge treatment processes on heavy metal speciation

    Publication

    Sludge composition is depending on sewage quality and also affected by processing methods such as thickening, stabilization and dewatering. During those processes some of sludge's undesirable properties might be reduced or enhanced.The objective of the study is the assessment of the influence of sludge processing on selected heavy metals partitioning between phases (aqueous and particle) and sludge. Sludge from the WWTP in Gdansk...

  • Particle Shape Effect on Macroscopic Behaviour of Underground Structures: Numerical and Experimental Study

    Publication

    - Studia Geotechnica et Mechanica - Year 2014

    Abstract: The mechanical performance of underground flexible structures such as buried pipes or culverts made of plastics depend not only on the properties of the structure, but also on the material surrounding it. Flexible drains can deflect by 30% with the joints staying tight, or even invert. Large deformations of the structure are difficult to model in the framework of Finite Element Method, but straightforward in Discrete...

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  • Pumping effect measured by PIV method in a multilayer spike electrode EHD device for air cleaning

    Publication

    - IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS - Year 2013

    Dust particles can be harmful for human health when inhaled. Particularly dangerous are submicrometer dust particles, which can contain traces of toxic elements and can easily penetrate into the human respiratory system. Thus, efficient devices for the air cleaning from submicrometer dust particles are needed. Recently, Katatani and Mizuno have proposed an electrohydrody- namic (EHD) device for air cleaning for submicrometer particles....

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  • COMPARISON OF TWO MODELS OF CONDENSATION

    Publication

    - Year 2014

    In the low-pressure part of steam turbine, the state path usually crosses the saturation line in penultimate stages. At least last two stages of this part of turbines operate in two –phase region. The liquid phase in this region in mainly created in the process of homogeneous and heterogeneous condensation. Several observations confirm however, that condensation often occurs earlier than it is predicted by theory i.e. before the...