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Wyświetlanie 1-15 z 97
Tytuł:
Phase features of several typical blood cells and their identification without unwrapping
Autorzy:
Wang, Y.
Chen, Y
Lü, C.
Shang, X.
Xu, Y.
Wu, H.
Zhu, X.
Jin, W.
Powiązania:
https://bibliotekanauki.pl/articles/173588.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
digital holographic phase
nucleated cell
phase model
wrapped phase features
identification
Opis:
The digital holographic phase microscopy (DHPM) technique which has been proposed for cellular morphology and dynamic analysis yielded highly desirable results. However, for nucleated cells (especially white blood cells (WBCs)), their submicroscopic structure has not yet been deconstructed through a phase unwrapping method due to the heterogeneity of an internal phase. By analyzing the phase heterogeneity of subclasses of WBCs, the typical phase models of them are built first in this paper; using the simulation method, the wrapped phase distributions of these models are obtained. However, by optimizing the wrapped phase maps and analyzing the relationships between them and typical blood cells, their features are selected and extracted. Then the models built are sorted out from each other successfully without unwrapping via analyzing these extracted features, which provides a valuable approach and technological base for the classification and identification of blood cells.
Źródło:
Optica Applicata; 2013, 43, 3; 505-514
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Model of the random phase of signal E6 of the Galileo Satellite Navigation System
Autorzy:
Džunda, M.
Čikovský, S.
Melniková, L.
Powiązania:
https://bibliotekanauki.pl/articles/24201441.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
model
simulation
random phase
signal E6
satellite navigation system
Galileo
random phase model
useful signal
Opis:
The aim of this paper was to describe the random phase of the E6 signal, the Galileo satellite navigation system. Based on the available information, mathematical models of the measurement signals of the Galileo system were created. The frequencies of individual signals were determined and their structure visualized. A block diagram of the generation of individual signals is also shown. The main contribution of the paper is the creation of a random phase model of the E6 signal from the Galileo system. In accordance with the technical data of the Galileo system, the parameters of the random phase model were determined. The simulation results confirmed that the frequency instability of the continuous signal E6 n received from the satellite is a stationary process. The short-term stability of the frequency ranges from 10-13 to 10-14. The simulation results confirmed that the Doppler effect significantly affects the random phase of the E6 signal. This phenomenon can affect the results of navigation measurements using the E6 signal. The modeling and simulation results of the random phase of the E6 signal presented in the paper can be used to evaluate the immunity of the Galileo navigation system to interference.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2023, 17, 1; 61--68
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical estimation of film thickness with an air-assisted spray gun
Autorzy:
Baytok, Yusuf Mert
Erek, Aytunc
Saf, Orcun
Powiązania:
https://bibliotekanauki.pl/articles/38901122.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
air-assisted spray gun
film thickness
discrete phase model
DPM
breakup
Opis:
The main goal of this study is to present the effects of spraying parameters on the numerical evaluations of the fundamental behaviors of an air-assisted spray gun during the formation of child droplets in the spray flow field and material deposition on the target surface. For this purpose, first of all, the air-assisted spray gun geometry was created using the Solidworks software. Then, a computational domain with a 3D, unstructured grid structure was generated using the ANSYS-Workbench meshing tool. Numerical calculations were conducted using ANSYS-Fluent 2020-R2 commercial software. Different breakup models and their effects on the child droplet size were investigated. By coupling the Taylor analogy breakup (TAB) model and discrete phase model (DPM), the droplet size, trajectory, and coating thickness calculations were made under different atomizing air pressures. Also, the effects of spraying distance and droplet size on coating thickness and the critical Weber (We) number on the atomized particle diameter and particle speed were investigated. The results show that with the increase in atomizing air pressure, droplet sizes decrease and the film thickness on the center of the target surface and droplet speeds increases. Also, increasing the critical Weber number makes it more difficult to atomize the droplets.
Źródło:
Engineering Transactions; 2023, 71, 2; 241-263
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Model fazy dyskretnej przepływu powietrza z wykropleniem pary wodnej
Discrete phase model of air flow with the water vapor condensation
Autorzy:
Branny, M.
Nowak, B.
Ptaszyński, B.
Kuczera, Z.
Łuczak, R.
Życzkowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/349114.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
dwufazowy przepływ pionowy
model fazy dyskretnej
wentylacja kopalń
vertical two-phase flow
discrete phase model
mine ventilation
Opis:
W artykule opisano zastosowanie modelu fazy dyskretnej do opisu przepływu powietrza w pionowych szybach wentylacyjnych z kondensacją pary wodnej. Dokonano sprawdzenia warunków, w jakich można stosować model fazy dyskretnej i zaprezentowano wyniki obliczeń dla takich prędkości powietrza w szybach, że przy modelowanych wydatkach masowych monodyspersyjnych strumieni kropel wody, pochodzących z kondensacji, cała woda była wynoszona przez powietrze na powierzchnię.
The paper describes the use of the discrete phase model to describe the movement of air in the vertical ventilation shafts with condensation of water vapor. Conditions under which discrete phase model can be used were verified and the results of performed calculations were presented. The results were obtained fo vertical movement up to the drops of water in the shaft.
Źródło:
Górnictwo i Geoinżynieria; 2010, 34, 3/1; 13-21
1732-6702
Pojawia się w:
Górnictwo i Geoinżynieria
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A locally modified single-phase model for analyzing magnetohydrodynamic boundary layer flow and heat transfer of nanofluids over a nonlinearly stretching sheet with chemical reaction
Autorzy:
Akbarzadeh, P.
Powiązania:
https://bibliotekanauki.pl/articles/949119.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
nanofluid
magnetohydrodynamic
nonlinear stretching sheet
similarity transformation
locally modified single-phase model
Opis:
The problem of boundary layer flow and heat transfer of nanofluids over nonlinear stretching of a flat sheet in the presence of a magnetic field and chemical reaction is investigated numerically. In this paper, a new locally modified single-phase model for the analysis is introduced. In this model, the effective viscosity, density and thermal conductivity of the solid-liquid mixtures (nanofluids) which are commonly utilized in the homogenous single-phase model, are locally combined with the prevalent single-phase model. Similarity transformation is used to convert the governing equations into three coupled nonlinear ordinary differential equations. These equations depend on five local functions of the nanoparticle volume fraction viz., local viscosity ratio, magnetic, Prandtl, Brownian motion and thermophoresis functions. The equations are solved using Newton’s method and a block tridiagonal matrix solver. The results are compared to the prevalent single-phase model. In addition, the effect of important governing parameters on the velocity, temperature, volume fraction distribution and the heat and mass transfer rates are examined.
Źródło:
Journal of Theoretical and Applied Mechanics; 2018, 56, 1; 81-94
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Development of multi-phase models of blood flow for medium-sized vessels with stenosis
Autorzy:
Kopernik, Magdalena
Tokarczyk, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/306653.pdf
Data publikacji:
2019
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
dynamika płynów
krew
reologia
multi-phase model
fluid dynamics
blood rheology
non-Newtonian blood model
Opis:
The purpose of the work was to develop two-phase non-Newtonian blood models for medium-sized vessels with stenosis using power law and Herschel–Bulkley models. Methods: The blood flow was simulated in 3D models of blood vessels with 60% stenosis. The Ansys Fluent software was applied to implement the two-phase non-Newtonian blood models. In the present paper, the mixture model was selected to model the two phases of blood: plasma and red blood cells. Results: Simulations were carried out for four blood models: a) single-phase non-Newtonian, b) two-phase non-Newtonian, c) two-phase Herschel–Bulkley with yield stress 0 mPa, and d) two-phase Herschel–Bulkley with yield stress 10 mPa for blood plasma, while flow took place in vessel with stenosis 60%. Presentation of results in this paper shows that stenosis can substantially affect blood flow in the artery, causing variations of velocity and wall shear stress. Thus, the results in the present paper are maximum values of blood velocity and wall shear stress, profiles and distributions of blood velocity and wall shear stress computed for single- and two-phase blood models for medium-sized vessels with stenosis. Conclusions: For the two-phase blood models the influence of initial velocity on blood flow in the stenosis zone is not observed, the velocity profiles are symmetric and parabolic. Contrary, for the single phase non-Newtonian blood model, the velocity profile is flat in the stenosis zone and distribution of velocity is disturbed just behind the stenosis zone. The shapes of wall shear stress profiles for twophase blood models are similar and symmetric in the center of stenosis. The biggest differences in maximum values of velocities and wall shear stress are observed between single phase non-Newtonian power law and Herschel–Bulkley blood models. The comparison of the obtained results with the literature indicates that the two-phase Herschel–Bulkley model is the most suitable for describing flow in medium-sized vessels with stenosis.
Źródło:
Acta of Bioengineering and Biomechanics; 2019, 21, 2; 63-70
1509-409X
2450-6303
Pojawia się w:
Acta of Bioengineering and Biomechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical Simulations of the Effects of Droplet Size and Concentration on Vapour-Droplet JP-10/Air Detonations
Autorzy:
Liu, L.
Zhang, Q.
Powiązania:
https://bibliotekanauki.pl/articles/358150.pdf
Data publikacji:
2018
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Przemysłu Organicznego
Tematy:
multiphase detonation
discrete phase model
evaporation and breakup model
droplet size effect
initial concentration effect
Opis:
Two-dimensional simulations were conducted for JP-10 mono-dispersed vapour-droplet detonation in air, based on the detonation mechanism for clouds and validation of the extending critical droplet size limits in previous tests. In the simulations, the discrete phase model combined with the droplet evaporation and droplet breakup models was used. Utilizing a wide range of mono-dispersed droplet sizes and initial droplet concentrations, all cases of JP-10 droplets with a certain amount of pre-vaporized fuel can successfully achieve the deflagration to detonation transition. Detonation velocities at the equivalent concentration with droplet diameters no larger than 50 μm are in good agreement with the theoretical detonation velocities. The effects of droplet size and initial droplet concentration on the detonation behaviour were also investigated. Detonation velocities attained with droplet diameters below 50 μm appear to decrease very slightly with droplet size, but are almost equal to the velocity in gases. When the droplet diameter is above 50 μm, there is a decrease in simulated detonation velocity compared with fine droplets, and no secondary pressure peak was observed. For fuel-rich combustion, detonation velocities decrease rapidly with an increase in initial droplet concentration, and post-wave pressure fluctuation was obviously irregular, caused by the secondary local explosion of the droplets.
Źródło:
Central European Journal of Energetic Materials; 2018, 15, 1; 175-190
1733-7178
Pojawia się w:
Central European Journal of Energetic Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Badania numeryczne spalania paliwa lotniczego w silniku turbinowym GTM-140
Numerical investigations of aviation fuel combustion in the turbine engine GTM-140
Autorzy:
Suchocki, T.
Lampart, P.
Powiązania:
https://bibliotekanauki.pl/articles/404320.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Symulacji Komputerowej
Tematy:
GTM-140
silnik turbinowy
CFD
model fazy dyskretnej (DPM)
spalanie
turbine engine
Discrete Phase Model
combustion
Opis:
Artykuł przedstawia trójwymiarowe obliczenia numeryczne spalania w miniaturowym silniku turbinowym GTM-140. Głównym celem pracy jest zrozumienie procesów zachodzących w zastosowanej komorze spalania. Została przeprowadzona analiza strat przepływu w silniku turbinowym. Przedstawiono wyniki w postaci pól temperatury, ciśnienia oraz prędkości z uwzględnieniem przepływu cold flow oraz przepływu reakcyjnego. Został użyty model turbulencji k-s (RANS), jako model spalania posłużył Non-Premixed Equilibrium Model oraz Dicrete Phase Model jako model z odparowaniem kropel paliwa.
This article presents three-dimensional numerical calculations of combustion in the GTM-140 miniature turbine engine. The main aim of this work is to understand the processes occurring in the combustion chamber. Flow losses analysis in the turbine engine was conducted. The paper shows the results as the fields of temperature, pressure and velocity including the "coldflow" and the flow with reaction. The k-s (RANS) Turbulence Model and Non-Premixed Equilibrium Model for combustion was used. The particles of fluid droplets were described by the Discrete Phase Model.
Źródło:
Symulacja w Badaniach i Rozwoju; 2014, 5, 3; 199-208
2081-6154
Pojawia się w:
Symulacja w Badaniach i Rozwoju
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A generalized thermoelastic dual-phase-lagging response of thick beams subjected to harmonically varying heat and pressure
Autorzy:
Zenkour, A. M.
Powiązania:
https://bibliotekanauki.pl/articles/949122.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
thermoelasticity
dual-phase-lag model
two-dimensional elasticity solution
Opis:
The generalized thermoelastic problem of a thermo-mechanically loaded beam is studied. The upper surface of the beam is thermally isolated and subjected to a mechanical load while the bottom surface is traction free and subjected to a heating source. Based on the heat conduction equation containing the thermoelastic coupling term and the two-dimensional elasticity theory, thermoelastic coupling differential equations of motion are established. The generalized thermoelasticity theory with the dual-phase-laggings (DPLs) model is used to solve this problem. A closed-form analytical technique is used to calculate vibration of displacements and temperature. The effects of the phase-laggings (PLs), the intensity of the applied load and heat parameters on the field quantities of the beam are discussed. The variation along the axial direction and through-the-thickness distributions of all fields are investigated. Some comparisons have been also shown graphically to estimate the effects of the time on all the studied fields.
Źródło:
Journal of Theoretical and Applied Mechanics; 2018, 56, 1; 15-30
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling of Eutectic Formation in Al-Si Alloy Using A Phase-Field Method
Autorzy:
Ebrahimi, Z.
Powiązania:
https://bibliotekanauki.pl/articles/353792.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
phase-field model
Al-Si alloy
eutectic growth
fluctuations
Opis:
We have utilized a phase-field model to investigate the evolution of eutectic silicon in Al-Si alloy. The interfacial fluctuations are included into a phase-field model of two-phase solidification, as stochastic noise terms and their dominant role in eutectic silicon formation is discussed. We have observed that silicon spherical particles nucleate on the foundation of primary aluminum phase and their nucleation continues on concentric rings, through the Al matrix. The nucleation of silicon particles is attributed to the inclusion of fluctuations into the phase-field equations. The simulation results have shown needle-like, fish-bone like and flakes of silicon phase by adjusting the noise coefficients to larger values. Moreover, the role of primary Al phase on nucleation of silicon particles in Al-Si alloy is elaborated. We have found that the addition of fluctuations plays the role of modifiers in our simulations and is essential for phase-field modeling of eutectic growth in Al-Si system. The simulated finger-like Al phases and spherical Si particles are very similar to those of experimental eutectic growth in modified Al-Si alloy.
Źródło:
Archives of Metallurgy and Materials; 2017, 62, 4; 1969-1981
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extension of a phase transformation model for partial hardening in hot stamping
Autorzy:
Hart-Rawung, T.
Buhl, J.
Bambach, M.
Powiązania:
https://bibliotekanauki.pl/articles/99913.pdf
Data publikacji:
2018
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
coefficient of thermal expansion
phase transformation model
hot stamping
Opis:
The quality of predicted microstructural and mechanical properties in hot stamping simulations relies considerably on the material model. Many researchers studied the effect of the plastic deformation on the phase transformation of the most commonly used hot stamping steel 22MnB5, and proved that the deformation applied at high temperature promotes the formation of ferrite, pearlite and bainite. This behaviour has to be integrated into materials modelling. In this study, the effect of pre-strain on the phase transformation of the material is considered. The specimens are heated to austenitization temperature, isothermally deformed at 700°C, and quenched down to room temperature. The phase fractions and the temperature-dilatation behaviour obtained from the experiments are used to calibrate the material model. By using the experimental data obtained from dilatometer testing, the accuracy of the material model is evaluated. Additionally, an attempt to predict the results between the tested data points by using interpolation was made and compared with the simulation results.
Źródło:
Journal of Machine Engineering; 2018, 18, 3; 87-97
1895-7595
2391-8071
Pojawia się w:
Journal of Machine Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulation of Xe redistribution in UO2
Autorzy:
Trujillo, L.
Powiązania:
https://bibliotekanauki.pl/articles/1934014.pdf
Data publikacji:
2011
Wydawca:
Politechnika Gdańska
Tematy:
UO2
grain boundaries
finite element method
phase field model
Opis:
The transport of fission gases in UO2 based nuclear fuels has a significant effect on the fuel performance. They can induce swelling of the fuel by the nucleation of gas bubbles within the fuel, and increase the mechanical interaction between the UO2 pellet and the cladding; also these bubbles can escape through the grain boundaries and contribute to the gaseous atmosphere in the fuel pin. We propose a model for the redistribution of xenon in the presence of different sinks, including nucleation and growth of gas bubbles. The finite element method has been implemented for the numerical solution of the model.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2011, 15, 2; 157-190
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of temperature distribution in nanosized transistors using modern heat transfer thermal model
Porównanie rozkładów temperatury w nanotranzystorach przy użyciu nowoczesnego modelu termicznego
Autorzy:
Raszkowski, Tomasz
Raszkowska, Agnieszka
Zubert, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/1837636.pdf
Data publikacji:
2021-08-12
Wydawca:
Łódzkie Towarzystwo Naukowe
Tematy:
Dual-Phase-Lag model
nanosized structures
FinFETs
temperaturę distribution
Fourier-Kirchhoff model
model Dual-Phase-Lag
struktury nanometryczne
tranzystor FinFET
rozkład temperatury
model Fouriera-Kirchhoffa
Opis:
In this paper two modern electronic structures have been presented. The structures are prototypical Fin Field Effect Transistors. One of them is design in 5 nm technology node while the second one is manufactured by the 12 nm technology node. The temperaturę distribution in these nanosized structures has been determined and compared between each other. Furthermore, to obtain the temperature distribution in considered electronic structures, the Dual-Phase-Lag model has been applied. This methodology is appropriate for electronic structures produced in nanometric. Apart from that, the comparison to the Fourier-Kirchhoff model has also been prepared. All results have been described and final conclusions have also been presented
W pracy przedstawiono porównanie rozkładów temperatur w dwóch nanometrycznych strukturach elektronicznych. Pierwszą z nich jest prototypowy tranzystor FinFET zaprojektowany w procesie technologicznym 5nm. Drugą rozważaną strukturą jest tranzystor FinFET wykonany w procesie technologicznym 12 nm. W celu wyznaczenia rozkładu temperatury w analizowanych strukturach wykorzystano nowoczesny model termiczny Dual-Phase-Lag. Dodatkowo, wszystkie otrzymane wyniki porównane zostały z temperaturami uzyskanymi przy użyciu klasycznego modelu Fouriera-Kirchhoffa. Zaprezentowane wyniki zostały szczegółowo opisane w artykule. Przedstawiono ponadto najważniejsze wnioski w formie krótkiego podsumowania
Źródło:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations; 2020, 70, 1; 115-127
1895-7838
2450-9329
Pojawia się w:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of relaxation and thermalization times in microscale heat transfer model
Autorzy:
Mochnacki, B.
Paruch, M.
Powiązania:
https://bibliotekanauki.pl/articles/279599.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
microscale heat transfer
laser heating
dual phase lag model
inverse problem
Opis:
The energy equation corresponding to the dual phase lag model (DPLM) results from the generalized form of the Fourier law, in which the two ‘delay times’ (relaxation and thermalization time) are introduced. The DPLM should be used in the case of microscale heat transfer analysis, in particular when thermal processes are characterized by extremely short duration (e.g. ultrafast laser pulse), considerable temperature gradients and very small dimensions (e.g. thin metal film). In this paper, the problem of relaxation and thermalization time identification is discussed, at the same time the heat transfer processes proceeding in the domain of a thin metal film subjected to a laser beam are analyzed. The solution presented bases on the application of evolutionary algorithms. The additional information concerning the transient temperature distribution on a metal film surface is assumed to be known. At the stage of numerical realization, the finite difference method (FDM) is used. In the final part of the paper, an example of computations is presented.
Źródło:
Journal of Theoretical and Applied Mechanics; 2013, 51, 4; 837-845
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Temperature distribution changes analysis based on Gr¨unwald-Letnikov space derivative
Analiza zmian rozkładu temperatur w oparciu o definicje¸ pochodnej Grünvalda-Letnikova w przestrzeni
Autorzy:
Raszkowski, Tomasz
Samson, Agnieszka
Zubert, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/699888.pdf
Data publikacji:
2018
Wydawca:
Łódzkie Towarzystwo Naukowe
Tematy:
Dual-Phase-Lag model, approximation, Grünwald-Letnikov, fractional derivatives, temperature distribution, numerical computation
Opis:
https://doi.org/10.26485/0459-6854/2018/68.3/10 W pracy zaprezentowano numeryczne przybliżenie modelu Dual-Phase-Lag. Schemat aproksymacyjny bazuje na wykorzystaniu definicji pochodnej temperatury niecałkowitego rzędu Grünvalda-Letnikova. Definicja ta została zastosowana do pochodnej przestrzennej temperatury w klasycznym modelu Fouriera-Kirchhoffa w celu wyznaczenia aproksymacji modelu Dual-Phase-Lag. W celu uzyskania numerycznej postaci rozwiązania, wykorzystano metodę różnic skończonych. Wszystkie otrzymane wzory aproksymacyjne zostały zaprezentowane i dokładnie opisane w niniejszym artykule. Dodatkowo zamieszczono przykłady rozkładu temperatury otrzymane za pomocą nowoskonstruowanego modelu. Wyznaczono ponadto wzór aproksymujący model Dual-Phase-Lag za pomocą zmodyfikowanego modelu Fouriera-Kirchhoffa uwzględniającego zamianę klasycznej pochodnej przestrzennej definicję pochodnej Grünvalda-Letnikova.
https://doi.org/10.26485/0459-6854/2018/68.3/10 In this paper, the numerical approximation of the Dual-Phase-Lag (DPL) model has been presented. The approximation scheme is based on the Gr¨unwald-Letnikov (GL) definition of fractional derivatives. Moreover, that definition has been applied to the space derivative of the temperature in Fourier-Kirchhoff (FK) model. Then, the Dual-Phase-Lag model has been approximated based on the prepared modification of FK model, which has been called the space GL FK model. Furthermore, the finite difference method methodology for the approximation of the considered thermal model has also been employed. All mathematical formulas obtained during the determination of the approximation scheme are presented in the paper. Numerical examples of temperature distributions obtained in the case of new space GL FK model are also included in the paper. Moreover, the behavior of the model based on order parameter values has also been investigated.
Źródło:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations; 2018, 68, 3
1895-7838
2450-9329
Pojawia się w:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 97

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