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Volume 41 Issue 8
Aug.  2015
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Journal of Beijing University of Aeronautics and Astronautics  > 2015  >  41(8): 1526-1531.
JIN Jing, XING Yufeng, LIAO Xuanping, et al. Application of differential quadrature and precise integration methods in analysis of transient heat transfer[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(8): 1526-1531. doi: 10.13700/j.bh.1001-5965.2014.0626(in Chinese)
Citation: JIN Jing, XING Yufeng, LIAO Xuanping, et al. Application of differential quadrature and precise integration methods in analysis of transient heat transfer[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(8): 1526-1531. doi: 10.13700/j.bh.1001-5965.2014.0626(in Chinese)
shu

Application of differential quadrature and precise integration methods in analysis of transient heat transfer

doi: 10.13700/j.bh.1001-5965.2014.0626
  • 1.

    China Academy of Launch Vehicle Technology, Beijing 100076, China

  • 2. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • 3. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China

  • Received Date: 13 Oct 2014
  • Publish Date: 20 Aug 2015
    Abstract
  • An accurate and efficient solution method of the governing equation of transient heat transfer was proposed based on the differential quadrature method (DQM) and precise integration method (PIM). DQM was applied to discretize spatial domain while PIM to temporal domain. It has been shown that DQM, with high accuracy and efficiency, also had higher flexibility than the finite element method (FEM) while dealing with complicated boundary conditions. The transient heat transfer is governed by the first-order differential equation with respect to time,while applying precise integration method in temporal domain,the same accuracy as computer can be achieved without increasing additional degrees of freedom. Numerical results were given for four kinds of boundary conditions of thermal protection structure. Then, the numerical result of the structure with constant temperature on top surface and heat insulation on other surfaces was compared with the result using the FEM. The numerical examples analysis shows that the higher precision can be achieved with fewer nodes by DQM and PIM.

     

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