Temat: phase difference - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Heat flux formulation for 1D dual-phase lag equation
Autorzy:: Majchrzak, E.
Kałuża, G.
Powiązania:: https://bibliotekanauki.pl/articles/122784.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: dual phase lag equation
finite difference method
thin metal film
Opis:: The thin metal film subjected to the ultra-short laser pulse is analyzed. Heat transfer processes occurring in the domain considered are described by the dual-phase lag model in which the unknown is the heat flux, not, as usual, temperature. This approach is especially convenient in the case of Neumann boundary conditions, which are taken into account here. The mathematical model supplemented by initial conditions is solved using the explicit scheme of finite difference method. In the final part of the paper the examples of computations are shown and the conclusions are formulated.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 1; 71-78
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: 1D generalized dual-phase lag equation. Sensitivity analysis with respect to the porosity
Autorzy:: Kałuża, G.
Majchrzak, E.
Turchan, Ł.
Powiązania:: https://bibliotekanauki.pl/articles/123000.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
generalized dual-phase lag model
sensitivity analysis
finite difference method
przepływ biociepła
metoda różnic skończonych
analiza wrażliwości
Opis:: Thermal processes occurring in the heated tissue are described by the 1D generalized dual-phase lag equation supplemented by appropriate boundary and initial conditions. Using the sensitivity analysis method, the additional problem connected with the porosity is formulated. Both problems are solved by means of the explicit scheme of the finite difference method. In this way it is possible to estimate the temperature changes due to the perturbation of porosity. In the final part of the paper, the example of computation is shown and the conclusions are formulated.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 49-58
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Numerical analysis of biological tissue heating using the dual-phase lag equation with temperature – dependent parameters
Autorzy:: Majchrzak, Ewa
Stryczyński, Mikołaj
Powiązania:: https://bibliotekanauki.pl/articles/2202034.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
dual-phase lag model
temperature-dependent parameter
finite difference method
przepływ biociepła
model dwufazowego opóźnienia
metoda różnic skończonych
Opis:: The dual-phase lag equation is formulated for the case when the thermophysical parameters occurring in this equation are temperature-dependent. The axial-symmetrical domain of biological tissue heated by an external heat source is considered. The problem is solved using the implicit scheme of the finite difference method. At the stage of numerical computations, the analytical relationships taken from the literature describing changes in parameters are taken into account.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 85--98
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Dual-phase lag equation. Stability conditions of a numerical algorithm based on the explicit scheme of the finite difference method
Autorzy:: Majchrzak, E.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/122742.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat conduction
dual-phase lag equation
finite difference method
stability conditions of FDM explicit scheme
przewodzenie ciepła
metoda różnic skończonych
Opis:: The dual-phase lag equation (DPLE) is considered. This equation belongs to the group of hyperbolic PDE, contains a second order time derivative and higher order mixed derivative in both time and space. From the engineer’s point of view, the DPLE results from the generalized form of the Fourier law. It is applied as a mathematical model of thermal processes proceeding in the micro-scale and also in the case of bio-heat transfer problem analysis. At the stage of numerical computations the different approximate methods of the PDE solving can be used. In this paper, the authors present the considerations concerning the stability conditions of the explicit scheme of finite difference method (FDM). The appropriate conditions have been found using the von Neumann analysis. In the final part of the paper, the results of testing computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 89-96
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Comparison of heat transfer phenomena for two different cryopreservation methods : slow freezing and vitrification
Autorzy:: Skorupa, Anna
Piasecka-Belkhayat, Alicja
Powiązania:: https://bibliotekanauki.pl/articles/2202057.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: cryopreservation
slow freezing
vitrification
phase change
finite difference method
directed interval arithmetic
kriokonserwacja
powolne zamrażanie
witryfikacja
przemiana fazowa
metoda różnic skończonych
arytmetyka przedziałów skierowanych
Opis:: The purpose of the research is to prepare a mathematical and numerical model for the phenomenon of heat transfer during cryopreservation. In the paper, two popular methods, slow freezing and vitrification, are compared. Furthermore, the basic model of thermal processes is supplemented by the phenomenon of phase transitions. To determine the temperature distribution during cryopreservation processes, one uses the heat transfer equation proposed by Pennes. An integral part of the energy equation is the substitute thermal capacity (STC) performed according to the concept named one domain method (fixed domain method), The numerical model is developed using the finite difference method (FDM) connected with directed interval arithmetic. The final part of the article contains the results of numerical simulations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 57--69
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Implicit scheme of the finite difference method for 1D dual-phase lag equation
Autorzy:: Majchrzak, E.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/973620.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: micro-scale heat conduction
dual-phase lag equation
finite difference method
stability of FDM implicit scheme
równanie z dwoma czasami opóźnień
metoda różnic skończonych
DPLE
schemat FDM
Opis:: The 1D dual-phase lag equation (DPLE) is solved using the implicit FDM scheme. The dual phase lag equation is the hyperbolic PDE and contains a second order time derivative and higher order mixed derivative in both time and space. The DPLE results from the generalization of the well known Fourier law in which the delay times are taken into account. So, in the equation discussed, two positive parameters appear. They correspond to the relaxation time τ_q and the thermalization time τ _T. The DPLE finds, among others, the application as the mathematical description of the thermal processes proceeding in the micro-scale. In the paper, the numerical solution of DPLE based on the implicit scheme of the FDM is presented. The authors show that a such an approach in the case of DPLE leads to the unconditionally stable differential scheme.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 37-46
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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