Publication Type : Journal Article
Publisher : Applied Mathematics and Mechanics
Source : Applied Mathematics and Mechanics 45, no. 9 (2024): 1613-1632
Url : https://link.springer.com/article/10.1007/s10483-024-3143-6
Campus : Bengaluru
School : School of Engineering
Department : Mathematics
Year : 2024
Abstract : The heat transfer through a concave permeable fin is analyzed by the local thermal non-equilibrium (LTNE) model. The governing dimensional temperature equations for the solid and fluid phases of the porous extended surface are modeled, and then are nondimensionalized by suitable dimensionless terms. Further, the obtained non-dimensional equations are solved by the clique polynomial method (CPM). The effects of several dimensionless parameters on the fins thermal profiles are shown by graphical illustrations. Additionally, the current study implements deep neural structures to solve physics-governed coupled equations, and the best-suited hyperparameters are attained by comparison with various network combinations. The results of the CPM and physics-informed neural network (PINN) exhibit good agreement, signifying that both methods effectively solve the thermal modeling problem.
Cite this Research Publication : Chandan, K., K. Karthik, K. V. Nagaraja, B. C. Prasannakumara, R. S. Varun Kumar, and T. Muhammad. "Radiative heat transfer analysis of a concave porous fin under the local thermal non-equilibrium condition: application of the clique polynomial method and physics-informed neural networks." Applied Mathematics and Mechanics 45, no. 9 (2024): 1613-1632.Impact Factor: 4.5