Analytical solution of transient heat conduction in a two-layer anisotropic cylindrical slab excited superficially by a short laser pulse
Апстракт
This paper presents an exact analytical solution of 2D transient temperature, caused by a non-periodical pulse heating of a cylindrical two-layer slab. The corresponding partial differential equations are solved step-by-step, using the separation of variables technique. Analytical/computational procedure for eigenvalue derivation is considered separately. General initial assumptions, such as existence of thermal contact resistance, thermal conduction and diffusion anisotropy, radiative heat losses, non-uniform heating, and finite absorption depth are accounted in the solution. Numerical simulations of temperature distribution throughout the sample are given at the end of the paper. (C) 2003 Elsevier Ltd. All rights reserved.
Кључне речи:
anisotropic materials / pulse heating / two-dimensional heat conduction / two-layer structuresИзвор:
International Journal of Heat and Mass Transfer, 2004, 47, 8-9, 1627-1641
DOI: 10.1016/j.ijheatmasstransfer.2003.10.023
ISSN: 0017-9310
WoS: 000220256900006
Scopus: 2-s2.0-1642521607
Колекције
Институција/група
VinčaTY - JOUR AU - Milošević, Nenad D. AU - Raynaud, M PY - 2004 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2756 AB - This paper presents an exact analytical solution of 2D transient temperature, caused by a non-periodical pulse heating of a cylindrical two-layer slab. The corresponding partial differential equations are solved step-by-step, using the separation of variables technique. Analytical/computational procedure for eigenvalue derivation is considered separately. General initial assumptions, such as existence of thermal contact resistance, thermal conduction and diffusion anisotropy, radiative heat losses, non-uniform heating, and finite absorption depth are accounted in the solution. Numerical simulations of temperature distribution throughout the sample are given at the end of the paper. (C) 2003 Elsevier Ltd. All rights reserved. T2 - International Journal of Heat and Mass Transfer T1 - Analytical solution of transient heat conduction in a two-layer anisotropic cylindrical slab excited superficially by a short laser pulse VL - 47 IS - 8-9 SP - 1627 EP - 1641 DO - 10.1016/j.ijheatmasstransfer.2003.10.023 ER -
@article{ author = "Milošević, Nenad D. and Raynaud, M", year = "2004", abstract = "This paper presents an exact analytical solution of 2D transient temperature, caused by a non-periodical pulse heating of a cylindrical two-layer slab. The corresponding partial differential equations are solved step-by-step, using the separation of variables technique. Analytical/computational procedure for eigenvalue derivation is considered separately. General initial assumptions, such as existence of thermal contact resistance, thermal conduction and diffusion anisotropy, radiative heat losses, non-uniform heating, and finite absorption depth are accounted in the solution. Numerical simulations of temperature distribution throughout the sample are given at the end of the paper. (C) 2003 Elsevier Ltd. All rights reserved.", journal = "International Journal of Heat and Mass Transfer", title = "Analytical solution of transient heat conduction in a two-layer anisotropic cylindrical slab excited superficially by a short laser pulse", volume = "47", number = "8-9", pages = "1627-1641", doi = "10.1016/j.ijheatmasstransfer.2003.10.023" }
Milošević, N. D.,& Raynaud, M.. (2004). Analytical solution of transient heat conduction in a two-layer anisotropic cylindrical slab excited superficially by a short laser pulse. in International Journal of Heat and Mass Transfer, 47(8-9), 1627-1641. https://doi.org/10.1016/j.ijheatmasstransfer.2003.10.023
Milošević ND, Raynaud M. Analytical solution of transient heat conduction in a two-layer anisotropic cylindrical slab excited superficially by a short laser pulse. in International Journal of Heat and Mass Transfer. 2004;47(8-9):1627-1641. doi:10.1016/j.ijheatmasstransfer.2003.10.023 .
Milošević, Nenad D., Raynaud, M, "Analytical solution of transient heat conduction in a two-layer anisotropic cylindrical slab excited superficially by a short laser pulse" in International Journal of Heat and Mass Transfer, 47, no. 8-9 (2004):1627-1641, https://doi.org/10.1016/j.ijheatmasstransfer.2003.10.023 . .