Estimation of spatially varying thermal contact resistance from finite element solutions of boundary inverse heat conduction problems split along material interface.pdfVIP
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Applied Thermal Engineering 106 (2016) 731–742
Contents lists available at ScienceDirect
Applied Thermal Engineering
journal homepage: /locate/apthermeng
Research Paper
Estimation of spatially varying thermal contact resistance from ?nite element solutions of boundary inverse heat conduction problems split along material interface
Worasit Kanjanakijkasem
Department of Mechanical Engineering, Faculty of Engineering, Burapha University, 169 Long-Hard Bangsaen Rd., Saen Sook Sub-district, Mueang District, Chonburi 20131, Thailand
highlights
A simple method for estimating thermal contact resistance is presented. Thermal contact resistance as constant, sinusoidal and triangle functions are tested. Quantifying the uncertainty of estimated thermal contact resistance is demonstrated.
article info
Article history: Received 19 March 2016 Revised 31 May 2016 Accepted 9 June 2016 Available online 11 June 2016
Keywords: Inverse heat conduction problem (IHCP) Thermal contact resistance Finite element method Modi?ed cubic spline
abstract
This paper presents a method for estimating spatially varying thermal contact resistance from a computational point of view. The method starts by splitting the computational domain along material interface to yield two boundary inverse heat conduction problems. Temperatures computed from analytical solutions are speci?ed at only three interior points of each material instead of temperatures available from experiments. A number of equations constructed from modi?ed cubic spline speci?ed along the interface are incorporated into ?nite element equations during the solution process. After extracting temperatures and heat transfer rates from both ?nite element solutions, which are solved separately, thermal contact resistance at each pair of coincident nodes on the interface are calculated.
Constant, sinusoidal, and triangle functions are selected as spatial functions of thermal contact resistance along material interface to test the method. Cons
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