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General temperature computational method of linear heat conduction multilayer cylinder

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Abstract

According to the axisymmetric heat conduction of monolayer cylinder, a general method was deduced to calculate the axisymmetric temperature of linear heat conduction multilayer cylinder. Four types of boundary conditions were summarized and formulas for each type were derived. Then, a general calculating program was developed. Four temperature formulas could be expressed by a uniform equation, and the intermediate interface temperatures of axisymmetrical linear conduction multilayer cylinder satisfied tridiagonal linear and nonlinear systems of equations, which could be solved with the pursuit method and the Newton’s method, respectively. With the calculating program, the temperature at any point of linear heat conduction multilayer cylinder could be obtained.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, 110004, Shenyang, Liaoning, China

    Liang-yu Chen (Professor), Yu Li & Ran Xue

  2. School of Materials and Metallurgy, Northeastern University, 110004, Shenyang, Liaoning, China

    Feng-man Shen

Authors
  1. Liang-yu Chen
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  2. Yu Li
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  3. Feng-man Shen
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  4. Ran Xue
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Corresponding author

Correspondence to Liang-yu Chen.

Additional information

Foundation Item: Item Sponsored by National Natural Science Foundation of China (50474014) ; Provincial Key Technologies Research and Development Program of Liaoning of China (2008216005)

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Chen, Ly., Li, Y., Shen, Fm. et al. General temperature computational method of linear heat conduction multilayer cylinder. J. Iron Steel Res. Int. 17, 33–37 (2010). https://doi.org/10.1016/S1006-706X(10)60041-6

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  • DOI: https://doi.org/10.1016/S1006-706X(10)60041-6

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