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ISSN Online: 2377-424X

ISBN Print: 978-1-56700-421-2

International Heat Transfer Conference 15
August, 10-15, 2014, Kyoto, Japan

Two-Region Fin Model Adjacent Temperature Profile Interactions

Get access (open in a dialog) DOI: 10.1615/IHTC15.cnd.008887
pages 1491-1505

Sinopsis

Recent theoretical developments in steady-state heat conduction modeling of multilayer composite materials (i.e., laminates) subject to non-uniform heating from constant temperature and constant heat flux heat sources have revealed the importance of detailed modeling in the heat spreading, inner high-thermal conductivity layer only. The two-region fin model has already demonstrated this behaviour with experimental and numerical validation in Cartesian and cylindrical coordinates and both kinds of heat sources, but the heat spreading region (i.e., fin region) was considered as an infinite domain. Important applications of laminate heat spreading do not conform to this condition, and therefore further development has been undertaken to model the behaviour in Cartesian coordinates with an insulated boundary condition in the fin region. The new heat conduction and temperature profile equations show that the proximity of the insulated boundary in the fin region enhances temperature uniformity over the laminate system’s surface. An insulated boundary in the fin region can either arise from a physical boundary (with known location) or from the interference of an adjacent two-region fin region domain (location inferred). A technique of superposition is proven and demonstrated to determine the location of the insulated boundary in the fin region caused by an adjacent domain, and a new temperature uniformity parameter is derived and its use is demonstrated in the design and modeling of laminateencapsulated phase change material heat exchangers.