The heat conduction in a two-dimensional square plate at nano/micro scales is investigated using numerical and semi-analytical methodologies which are energy conserving dissipative particle dynamics (DPDe) and Boltzmann transport equation (BTE) with the gray relaxation time approximation. The solution domain was considered to be a two-dimensional square plate surrounded by walls having constant temperatures. The numerical and semi-analytical results for different Knudsen numbers ranging from 0.1 to 10 are presented in form of temperature distributions in the solution domain. These results are compared with each other and the applicability of the DPDe model to two-dimensional structures is discussed.
Numerical Study on the Diffusive-Ballistic Heat Transport in a Two-Dimensional Square Plate
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Yamada, T, Park, K, Asako, Y, Faghri, M, & Sundén, B. "Numerical Study on the Diffusive-Ballistic Heat Transport in a Two-Dimensional Square Plate." Proceedings of the ASME 2013 International Mechanical Engineering Congress and Exposition. Volume 8C: Heat Transfer and Thermal Engineering. San Diego, California, USA. November 15–21, 2013. V08CT09A015. ASME. https://doi.org/10.1115/IMECE2013-64360
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