A novel Hamiltonian-based method for two-dimensional transient heat conduction in a rectangle with specific mixed boundary conditions

Author:

XU Chenghui1,RONG Dalun2,ZHOU Zhenhuan2,XU Xinsheng2

Affiliation:

1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University

2. State Key Laboratory of Structure Analysis of Industrial Equipment, Department of Engineering Mechanics, International Center for Computational Mechanics, Dalian University of Technology

Publisher

Japan Society of Mechanical Engineers

Subject

Engineering (miscellaneous),Instrumentation,General Materials Science,Atomic and Molecular Physics, and Optics

Reference31 articles.

1. Beck, J. V., Wright, N. T., Haji-Sheikh, A., Cole, K. D. and Amos, D. E., Conduction in rectangular plates with boundary temperatures specified, International Journal of Heat and Mass Transfer, Vol.51, No.19 (2008), pp.4676-4690.

2. Belghazi, H., El Ganaoui, M. and Labbe, J. C., Analytical solution of unsteady heat conduction in a two-layered material in imperfect contact subjected to a moving heat source, International Journal of Thermal Sciences, Vol.49, No.2 (2010), pp.311-318.

3. Carslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids (1959), Oxford at the Clarendon Press.

4. Cole, K. D., Beck, J. V., Haji-Sheikh, A. and Litkouhi, B., Heat Conduction Using Green’s Functions (2010), Taylor & Francis.

5. Dai, B. D., Zheng, B. J., Liang, Q. X. and Wang, L.H., Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method, Applied Mathematics and Computation, Vol.219, No.19 (2013), pp.10044-10052.

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