An analytical approach based on Green's function to thermal response factors for composite planar structure with experimental validation
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The unsteady heat conduction in composite planar structure, with arbitrary number of layers, using analytical approach based on Green's Functions (GF) is analyzed. The analytical solution for spatial and temporal temperature distribution is evaluated in the general form and expressed in the terms of the convolution integrals.
The GF are employed in the novel approach for calculation of Thermal Response Factors (TRF) with arbitrary shape functions for unsteady heat conduction in composite planar structure. The two pairs of TRF for spatial and temporal distribution of the temperature and the thermal flux are obtained. The whole analysis is performed in the time domain. A numerical scheme for efficient evaluation of convolution integral suitable for practical application in the case of the long term measurements with lower sampling rates is developed. The in-situ measurements of inside and outside surface temperatures and outside heat flux for a building wall under real
dynamical enviro...nmental conditions during the period of then days are used for validation of the presented results and to demonstrate the possible practical application. Using developed approach and recorded surface temperatures as inputs the temporal and spatial distributions of the temperature and the thermal flux are obtained.
These results are compared with experimental data and numerical simulations obtained by the Finite Volume Method (FVM).
Кључне речи:
Green's functions / Heat conduction / Composite structure / Thermal response factorsИзвор:
International Journal of Thermal Sciences, 2019, 139, 129-143, 2019, 139, 129-143Издавач:
- Elsevier Sci Ltd, Oxford
Институција/група
Institut za ispitivanje materijalaTY - JOUR AU - Mirković-Marjanović, Milica AU - Gospavić, Radovan AU - Todorović, Goran PY - 2019 UR - http://rims.institutims.rs/handle/123456789/431 AB - The unsteady heat conduction in composite planar structure, with arbitrary number of layers, using analytical approach based on Green's Functions (GF) is analyzed. The analytical solution for spatial and temporal temperature distribution is evaluated in the general form and expressed in the terms of the convolution integrals. The GF are employed in the novel approach for calculation of Thermal Response Factors (TRF) with arbitrary shape functions for unsteady heat conduction in composite planar structure. The two pairs of TRF for spatial and temporal distribution of the temperature and the thermal flux are obtained. The whole analysis is performed in the time domain. A numerical scheme for efficient evaluation of convolution integral suitable for practical application in the case of the long term measurements with lower sampling rates is developed. The in-situ measurements of inside and outside surface temperatures and outside heat flux for a building wall under real dynamical environmental conditions during the period of then days are used for validation of the presented results and to demonstrate the possible practical application. Using developed approach and recorded surface temperatures as inputs the temporal and spatial distributions of the temperature and the thermal flux are obtained. These results are compared with experimental data and numerical simulations obtained by the Finite Volume Method (FVM). PB - Elsevier Sci Ltd, Oxford T2 - International Journal of Thermal Sciences, 2019, 139, 129-143 T1 - An analytical approach based on Green's function to thermal response factors for composite planar structure with experimental validation EP - 143 SP - 129 VL - 139 DO - 10.1016/j.ijthermalsci.2019.01.020 ER -
@article{ author = "Mirković-Marjanović, Milica and Gospavić, Radovan and Todorović, Goran", year = "2019", abstract = "The unsteady heat conduction in composite planar structure, with arbitrary number of layers, using analytical approach based on Green's Functions (GF) is analyzed. The analytical solution for spatial and temporal temperature distribution is evaluated in the general form and expressed in the terms of the convolution integrals. The GF are employed in the novel approach for calculation of Thermal Response Factors (TRF) with arbitrary shape functions for unsteady heat conduction in composite planar structure. The two pairs of TRF for spatial and temporal distribution of the temperature and the thermal flux are obtained. The whole analysis is performed in the time domain. A numerical scheme for efficient evaluation of convolution integral suitable for practical application in the case of the long term measurements with lower sampling rates is developed. The in-situ measurements of inside and outside surface temperatures and outside heat flux for a building wall under real dynamical environmental conditions during the period of then days are used for validation of the presented results and to demonstrate the possible practical application. Using developed approach and recorded surface temperatures as inputs the temporal and spatial distributions of the temperature and the thermal flux are obtained. These results are compared with experimental data and numerical simulations obtained by the Finite Volume Method (FVM).", publisher = "Elsevier Sci Ltd, Oxford", journal = "International Journal of Thermal Sciences, 2019, 139, 129-143", title = "An analytical approach based on Green's function to thermal response factors for composite planar structure with experimental validation", pages = "143-129", volume = "139", doi = "10.1016/j.ijthermalsci.2019.01.020" }
Mirković-Marjanović, M., Gospavić, R.,& Todorović, G.. (2019). An analytical approach based on Green's function to thermal response factors for composite planar structure with experimental validation. in International Journal of Thermal Sciences, 2019, 139, 129-143 Elsevier Sci Ltd, Oxford., 139, 129-143. https://doi.org/10.1016/j.ijthermalsci.2019.01.020
Mirković-Marjanović M, Gospavić R, Todorović G. An analytical approach based on Green's function to thermal response factors for composite planar structure with experimental validation. in International Journal of Thermal Sciences, 2019, 139, 129-143. 2019;139:129-143. doi:10.1016/j.ijthermalsci.2019.01.020 .
Mirković-Marjanović, Milica, Gospavić, Radovan, Todorović, Goran, "An analytical approach based on Green's function to thermal response factors for composite planar structure with experimental validation" in International Journal of Thermal Sciences, 2019, 139, 129-143, 139 (2019):129-143, https://doi.org/10.1016/j.ijthermalsci.2019.01.020 . .