Autor: Tuzikiewicz, W. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Sensitivity of transient temperature field in the casting domain with respect to latent heat perturbations
Autorzy:: Tuzikiewicz, W.
Powiązania:: https://bibliotekanauki.pl/articles/122844.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: alloys solidification
fixed domain approach
substitute thermal capacity
sensitivity analysis
numerical methods
krzepnięcie stopów
zastępcza pojemność cieplna
analiza wrażliwości
metody numeryczne
Opis:: The mathematical model of thermal processes in the casting domain can be formulated using the fixed domain approach. The energy equation corresponding to this model contains the parameter called a substitute thermal capacity (STC), in which the alloy latent heat appears. The aim of considerations is the application of sensitivity analysis methods for estimation of temperature field changes due to the perturbations of alloy latent heat. In this the analytical form of STC results from the consideration concerning the lever arm model and the Scheil model. The equations determining the sensitivity function are found using the so-called direct approach. At the stage of numerical modeling the finite difference method is used. In the final part of the paper the example of computations is shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 143-149
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:: Cattaneo-Vernotte bioheat transfer equation. Stability conditions of numerical algorithm based on the explicit scheme of the finite difference method
Autorzy:: Mochnacki, B.
Tuzikiewicz, W.
Powiązania:: https://bibliotekanauki.pl/articles/122475.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Cattaneo-Vernotte equation
finite difference method
stability conditions of FDM explicit scheme
przepływ biociepła
równanie Cattaneo-Vernotte
metoda różnic skończonych
Opis:: The Cattaneo-Vernotte (CVE) equation is considered. This equation belongs to the group of hyperbolic PDE. Supplementing this equation by two additional terms corresponding to perfusion and metabolic heat sources one can apply the CVE as a mathematical model describing the heat transfer processes proceeding in domain of the soft tissue. Such an approach is recently often preferred substituting the classical Pennes model. At the stage of numerical computations the different numerical methods of the PDE solving can be used. In this paper the problems of stability conditions for the explicit scheme of the finite difference method (FDM) are discussed. The appropriate condition limiting the admissible time step have been found using the von Neumann analysis.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 137-144
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:: Bioheat transfer equation : the problem of FDM explicit scheme stability
Autorzy:: Tuzikiewicz, W.
Duda, M.
Powiązania:: https://bibliotekanauki.pl/articles/122648.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bio-heat transfer
finite difference method
stability condition
von Neumann method
wymiana biociepła
metoda różnic skończonych
stan stateczności
Opis:: In the paper the problem of explicit FDM scheme stability for the bio-heat transfer equation (the Pennes equation) is discussed. To formulate the appropriate condition the von Neumann approach is applied. The first chapter contains the known derivation of FDM stability condition for the Fourier equation. In the second part, a similar condition is found for the case of the bio-heat transfer equation containing both the perfusion and metabolic heat sources.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 139-144
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:: Sensitivity analysis of the crystallization model with respect to cooling conditions
Autorzy:: Szopa, R.
Tuzikiewicz, W.
Siedlecki, J.
Powiązania:: https://bibliotekanauki.pl/articles/122352.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: moving boundary problems
crystallization of pure metals
sensitivity analysis
numerical methods
analiza wrażliwości
metody numeryczne
Opis:: In the paper the pure metal crystallization process is considered. The cooling conditions of the metal domain are determined by the mould dimensions and thermophysical parameters of the mould material (volumetric specific heat and thermal conductivity). The mathematical model of heat transfer processes proceeding in the system metal – mould is created by the system of heat diffusion partial differential equations corresponding to the sub-domains considered supplemented by the adequate geometrical, physical and boundary-initial conditions. The sensitivity model determining the perturbations of thermal processes due to the perturbations of cooling processes can be constructed using the direct approach (differentiation with respect to parameters analyzed) or using the differential quotients. Both approaches will be discussed in the paper presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 115-122
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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