LI Xixia, DAI Haiyan, LI Changyu. A New Method for Solving Heat Transfer Problems of Laminate Materials Based on the Differential Theory[J]. Applied Mathematics and Mechanics, 2018, 39(6): 728-736. doi: 10.21656/1000-0887.380116
Citation: LI Xixia, DAI Haiyan, LI Changyu. A New Method for Solving Heat Transfer Problems of Laminate Materials Based on the Differential Theory[J]. Applied Mathematics and Mechanics, 2018, 39(6): 728-736. doi: 10.21656/1000-0887.380116

A New Method for Solving Heat Transfer Problems of Laminate Materials Based on the Differential Theory

doi: 10.21656/1000-0887.380116
  • Received Date: 2017-05-02
  • Rev Recd Date: 2017-07-17
  • Publish Date: 2018-06-15
  • A new analytical method for solving heat transfer problems of laminate materials was proposed based on the differential theory. The curves of temperature variation at the interface of the laminate material were approximately linear in a small time interval. With the method of separation of variables, the analytical solution containing unknown coefficients of each layer in a small time interval was obtained. According to the continuous condition of energy at the interface, the unknown coefficients of each layer were determined. Then the temperature field in the whole time domain was obtained. Finally, the analytical method was used to solve the heat transfer problem of a 3-layer structure. The analytical results were compared with those of the finite element method, and the influences of several parameters on the temperature field were discussed, with the correctness of the proposed method verified.
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