A convective heat transfer coefficient algorithm for thermal analysis of machine tools considering a temperature change

  • Xiaobo Mao
  • Kuanmin MaoEmail author
  • Fengyun Wang
  • Bo Yan
  • Sheng Lei


The convective heat transfer coefficient (CHTC) is a key parameter for thermal analysis. The calculation method of empirical equations cannot accurately reflect the real situation of an object, especially when the fluid temperature is a variable, making the CHTC calculation more difficult. Based on finite element (FE) thermal analysis, an iterative algorithm of FE thermal analysis combined with experimental data was proposed. Furthermore, in the thermal analysis process, the temperature of the object itself changes and the heat is not uniform. The adopted CHTCs dynamically varied with the uneven wall temperature and ambient temperature. A CHTC gradual change “dynamic boundary condition” application mode was used. The interactive iterative calculation was completed by the FE software ABAQUS 6.14 and MATLAB 2016b, and a program was written to improve the calculation accuracy of the CHTC using multiple iterations. Taking the machine tool ball screw feed system as an example, a large number of experiments were conducted over 1 year under different ambient temperatures to verify that the method described in this paper was accurate and feasible. In addition, the relationship between the CHTC and ambient temperature change was found determined, and an explanation was provided.


Convective heat transfer coefficient (CHTC) Thermal analysis Ball screw feed system FE simulation 


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This work is supported by the National High Technology Research and Development Program of China (863 Program) by the grant no. 2015AA043302.


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • Xiaobo Mao
    • 1
  • Kuanmin Mao
    • 1
    Email author
  • Fengyun Wang
    • 1
  • Bo Yan
    • 1
  • Sheng Lei
    • 2
  1. 1.School of Mechanical Science and EngineeringHuazhong University of Science and TechnologyWuhanChina
  2. 2.School of Electronic Information EngineeringSouth-Central University for NationalitiesWuhanChina

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