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International Journal for Multiscale Computational Engineering

年間 6 号発行

ISSN 印刷: 1543-1649

ISSN オンライン: 1940-4352

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Indexed in

SENSITIVITY ANALYSIS OF TRANSIENT TEMPERATURE FIELD IN MICRODOMAINS WITH RESPECT TO THE DUAL-PHASE-LAG MODEL PARAMETERS

巻 12, 発行 1, 2014, pp. 65-77
DOI: 10.1615/IntJMultCompEng.2014007815
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要約

In the paper selected problems concerning microscale heat-transfer modeling are presented. In particular, the dual-phase-lag model (DPLM) containing two time lags, the relaxation and thermalization times, is considered. The aim of this research is to estimate the changes in the transient temperature field due to the perturbations of the DPLM thermophysical parameters (volumetric specific heat, thermal conductivity, and relaxation and thermalization times). To solve the problem methods of sensitivity analysis (direct approach) are applied. At the stage of numerical modeling, the axially symmetrical object subjected to an external heat flux is considered. Numerical computations are realized 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.

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によって引用された
  1. Majchrzak E., Mochnacki B., Mendakiewicz J., Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models, Archives of Metallurgy and Materials, 60, 3, 2015. Crossref

  2. Majchrzak E., Turchan L., Modeling of phase changes in the metal micro-domains subjected to ultrafast laser heating using dual-phase lag equation, Materialwissenschaft und Werkstofftechnik, 47, 5-6, 2016. Crossref

  3. Mochnacki B., Szopa R., Sensitivity Analysis of Micro Models for Solidification of Pure Metals, in Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials, 49, 2016. Crossref

  4. Mochnacki Bohdan, Majchrzak Ewa, Numerical model of thermal interactions between cylindrical cryoprobe and biological tissue using the dual-phase lag equation, International Journal of Heat and Mass Transfer, 108, 2017. Crossref

  5. Mochnacki Bohdan, Majchrzak Ewa, Sensitivity Analysis of Temperature Field in Domain of Skin Tissue with Respect to Perturbations of Protective Clothing Parameters, Defect and Diffusion Forum, 362, 2015. Crossref

  6. Majchrzak Ewa, Dziatkiewicz Jolanta, Turchan Łukasz, Sensitivity Analysis and Inverse Problems in Microscale Heat Transfer, Defect and Diffusion Forum, 362, 2015. Crossref

  7. Piasecka-Belkhayat Alicja, Korczak Anna, Modeling of thermal processes proceeding in a thin gold film using the lattice Boltzmann method with interval source function, 1922, 2018. Crossref

  8. Majchrzak Ewa, Mochnacki Bohdan, Grądziel S., Łopata S., Sobota T., Zima W., First and second order dual phase lag equation. Numerical solution using the explicit and implicit schemes of the finite difference method, MATEC Web of Conferences, 240, 2018. Crossref

  9. Majchrzak Ewa, Turchan Lukasz, Jasiński Marek, Identification of Laser Intensity Assuring the Destruction of Target Region of Biological Tissue Using the Gradient Method and Generalized Dual-Phase Lag Equation, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 43, 3, 2019. Crossref

  10. Majchrzak Ewa, Mochnacki Bohdan, Numerical solutions of the second-order dual-phase-lag equation using the explicit and implicit schemes of the finite difference method, International Journal of Numerical Methods for Heat & Fluid Flow, 30, 4, 2019. Crossref

  11. Piasecka-Belkhayat A., Korczak A., Numerical modeling of thermal processes in heated metal films with imprecise parameters and periodic boundary conditions, 3RD NATIONAL CONFERENCE ON CURRENT AND EMERGING PROCESS TECHNOLOGIES – CONCEPT 2020, 2240, 2020. Crossref

  12. Kałuża Grażyna, Majchrzak Ewa, Turchan Łukasz, Sensitivity analysis of temperature field in the heated soft tissue with respect to the perturbations of porosity, Applied Mathematical Modelling, 49, 2017. Crossref

  13. Lyu Chen-yang, Zhan Ren-jun, Constitutive Equations Developed for Modeling of Heat Conduction in Bio-tissues: A Review, International Journal of Thermophysics, 42, 2, 2021. Crossref

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