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Wyszukujesz frazę "Ciesielski, M" wg kryterium: Autor


Wyświetlanie 1-3 z 3
Tytuł:
Application of the Control Volume Method using the Voronoi polygons for numerical modeling of bio-heat transfer processes
Autorzy:
Ciesielski, M.
Mochnacki, B.
Powiązania:
https://bibliotekanauki.pl/articles/279675.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
bioheat transfer
numerical modeling
Control Volume Method
Voronoi’s diagram
Opis:
In the paper, the problem concerning the numerical modeling of thermal processes in the domain of a biological tissue being in thermal contact with the environment is discussed. The changing ambient temperature causes that the non-steady heat transfer process is con- sidered. The cross-section of the forearm (2D problem) is treated as a non-homogeneous domain in which the sub-domains of skin tissue, fat, muscle and bone are distinguished. From the mathematical point of view, the boundary-initial problem described by the system of energy equations (the Pennes equations), boundary conditions on the external surface of the system, boundary conditions on the surfaces limiting the successive sub-domains and the initial condition is analyzed. At the stage of numerical computations, the Control Volume Method using the Voronoi polygons is applied. In the final part of the paper, examples of computations are shown.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 4; 927-935
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Sturm-Liouville eigenvalue problem - a numerical solution using the control volume method
Autorzy:
Siedlecki, J.
Ciesielski, M
Błaszczyk, T.
Powiązania:
https://bibliotekanauki.pl/articles/122530.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Sturm-Liouville problem
eigenvalues
numerical methods
Control Volume Method
problem Sturm-Liouville
wartości własne
metody numeryczne
metoda kontroli głośności
Opis:
The solution of the 1D Sturm-Liouville problem using the Control Volume Method is discussed. The second order linear differential equation with homogeneous boundary conditions is discretized and converted to the system of linear algebraic equations. The matrix associated with this system is tridiagonal and eigenvalues of this system are an approximation of the real eigenvalues of the boundary value problem. The numerical results of the eigenvalues for various cases and the experimental rate of convergence are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 127-136
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Integro-differential form of the first-order dual phase lag heat transfer equation and its numerical solution using the Control Volume Method
Autorzy:
Ciesielski, M.
Mochnacki, B.
Majchrzak, E.
Powiązania:
https://bibliotekanauki.pl/articles/38606551.pdf
Data publikacji:
2020
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
micro-scale heat transfer
dual phase lag model
integro-differential equation
Control Volume Method
Opis:
The start point of the dual phase lag equation (DPLE) formulation is the generalized Fourier law in which two positive constants (the relaxation and thermalization times) appear. This type of equation can be used (among others) to describe the heat conduction processes proceeding in micro-scale. Depending on the number of components in the development of the generalized Fourier law into a power series, one can obtain both the first-order DPLE and the second-order one. In this paper the first-order dual phase lag equation is considered. The primary objective of this research is the transformation of DPLE differential form to the integro-differential one supplemented by the appropriate boundary-initial conditions. The obtained form of the differential equation is much simpler and more convenient at the stage of numerical computations – the numerical algorithm based on the three-time-level scheme reduces to the two-time-level one. To find the numerical solution, the Control Volume Method is used (the heating of thin metal film subjected to a laser beam is considered). The choice of the numerical method was not accidental. The method has a simple physical interpretation ensuring the preservation of the local and global energy balances. To our knowledge, it has not been used so far in this type of tasks. In the final part of the paper the examples of numerical simulations are presented and the conclusions are formulated.
Źródło:
Archives of Mechanics; 2020, 72, 5; 415-444
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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