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    Wyświetlanie 1-6 z 6
    Tytuł:
    Application of the Alternating Direction Implicit Method for numerical solution of the dual phase lag equation
    Autorzy:
    Ciesielski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/281757.pdf
    Data publikacji:
    2017
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    micro-scale heat transfer
    dual phase lag model
    control volume method
    alternating direction implicit method
    numerical simulation
    Opis:
    The problem discussed in the paper concerns the numerical modeling of thermal processes proceeding in micro-scale described using the Dual Phase Lag Model (DPLM) in which the relaxation and thermalization time appear. The cylindrical domain of a thin metal film subjected to a strong laser pulse beam is considered. The laser action is taken into account by the introduction of an internal heat source in the energy equation. At the stage of numerical modeling, the Control Volume Method is used and adapted to resolve the hyperbolic partial differential equation. In particular, the Alternating Direction Implicit (ADI) method for DPLM is presented and discussed. The examples of computations are also presented.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 839-852
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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:
    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
    Tytuł:
    Dual Phase Lag Model of Melting Process in Domain of Metal Film Subjected to an External Heat Flux
    Autorzy:
    Mochnacki, B.
    Ciesielski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/382640.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    theoretical basis
    foundry process
    solidification process
    microscale heat transfer
    dual phase lag model
    control volume method
    podstawy teoretyczne
    proces odlewania
    proces krzepnięcia
    wymiana ciepła
    model dwufazowy
    Opis:
    Heating process in the domain of thin metal film subjected to a strong laser pulse are discussed. The mathematical model of the process considered is based on the dual-phase-lag equation (DPLE) which results from the generalized form of the Fourier law. This approach is, first of all, used in the case of micro-scale heat transfer problems (the extremely short duration, extreme temperature gradients and very small geometrical dimensions of the domain considered). The external heating (a laser action) is substituted by the introduction of internal heat source to the DPLE. To model the melting process in domain of pure metal (chromium) the approach basing on the artificial mushy zone introduction is used and the main goal of investigation is the verification of influence of the artificial mushy zone ‘width’ on the results of melting modeling. At the stage of numerical modeling the author’s version of the Control Volume Method is used. In the final part of the paper the examples of computations and conclusions are presented.
    Źródło:
    Archives of Foundry Engineering; 2016, 16, 4; 85-90
    1897-3310
    2299-2944
    Pojawia się w:
    Archives of Foundry Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sensitivity of transient temperature field in domain of forearm insulated by protective clothing with respect to perturbations of external boundary heat flux
    Autorzy:
    Mochnacki, B.
    Ciesielski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/201448.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    bioheat transfer
    sensitivity analysis
    numerical modeling
    control volume method
    Voronoi diagram
    analiza wrażliwości
    modelowanie numeryczne
    metoda regulacji głośności
    diagram Voronoi
    Opis:
    The problem discussed in the paper is numerical modeling of thermal processes in the domain of biological tissue secured by a layer of protective clothing being in thermal contact with the environment. The cross-section of the forearm (2D problem) is treated as non-homogeneous domain in which the sub-domains of skin tissue, fat, muscle and bone are distinguished. The air gap between skin tissue and protective clothing is taken into account. The process of external heating is determined by Robin boundary condition and sensitivity analysis with respect to the perturbations of heat transfer coefficient and ambient temperature is also discussed. Both the basic boundary-initial problem and the sensitivity problems are solved by means of control volume method using Voronoi polygons.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 3; 591-598
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations
    Autorzy:
    Ciesielski, M.
    Duda, M.
    Mochnacki, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/122908.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    bioheat transfer
    Pennes equation
    Cattaneo-Vernotte equation
    numerical modeling of heating process
    finite difference method
    przepływ biociepła
    równanie Pennesa
    równanie Cattaneo-Vernotte
    metoda różnic skończonych
    modelowanie numeryczne
    Opis:
    The homogeneous soft tissue domain subjected to an external heat source is considered. Thermal processes in this domain are described using the well known Pennes equation and next the Cattaneo-Vernotte one. Within recent years the prevailing view is that the Cattaneo-Vernotte equation better describes the thermal processes proceeding in the biological tissue (it results from the specific internal tissue structure). Appearing in this equation the delay time of heat flux with respect to the temperature gradient (τq) is of the order of several seconds and the different values of τq are taken into account. At the stage of numerical modeling the finite difference method is used. In the final part of the paper, the examples of computations are shown.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 33-38
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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