Skip to main content
SpringerLink
Log in

Heat transfer characteristics of conductive material under inner non-uniform electromagnetic fields

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

Electronic transport properties can be influenced by the applied electromagnetic fields in conductive materials. The change of the electron distribution function evoked by outfields obeys the Boltzmann equation. In this paper, a general law of heat conduction considering the non-uniform electromagnetic effect is developed from the Boltzmann equation. An analysis of the equation leads to the result that the electric field gradient and the magnetic gradient in the conductive material are responsible for the influences of electromagnetic fields on the heat conduction process. A physical model is established and finite element numerical simulation reveals that heat conduction can be increased or delayed by the different directions of the electric field gradient, and the existence of the magnetic gradient always hinders heat conduction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Friedberg, J.P., Mitchell, R.W., Morse, R.L. and Rudsinski, L.I., Resonant absorption of laser light by plasma targets. Physics Review Letters, 1972, 28(13): 795–798.

    Article  Google Scholar 

  2. Muhammad, S.A., Latif, A. and Iqbal, M., Theoretial model for heat conduction in metals during interaction with ultra short laser pulse. Laser and Particle Beams, 2006, 24(3): 347–353.

    Google Scholar 

  3. Liu, F., Shi, Y. and Lei, X., Numerical investigation of the temperature field of a metal plate during high-frequency induction heat forming. Journal of Mechanical Engineering Science, 2009, 223(4): 979–986.

    Article  Google Scholar 

  4. Thomson, G. and Mark, S.P., Controlled laser forming for rapid prototyping. Rapid Prototyping Journal, 1997, 3(4): 137–143.

    Article  Google Scholar 

  5. Shi, Y.J., Yao, Z.Q., Shen, H. and Hu, J., Research on the mechanisms of laser forming for the metal plate. International Journal of Machine Tools & Manufacture, 2006, 46(12–13): 1689–1697.

    Article  Google Scholar 

  6. Adrian, L., Andreas, C. and Eckhard, B., Thermoelectric currents in laser induced melts pools. Journal of Laser Applications, 2009, 21(2): 82–87.

    Article  Google Scholar 

  7. Wang, X.Z. and Zheng, X.J., Analyses on nonlinear coupling of magneto-thermo-elasticity of ferromagnetic thin shell—II: Finite element modeling and application. Acta Mechanica Solida Sinica, 2009, 22(3): 197–205.

    Article  Google Scholar 

  8. Tian, X.G. and Shen, Y.P., Study on generalized magneto-thermoelastic problems by FEM in time domain. Acta Mechanica Sinica, 2005, 21(4): 380–387.

    Article  Google Scholar 

  9. Asakawa, Y., Promotion and retardation of heat transfer by electric fields. Nature, 1976, 261(5557): 220–221.

    Article  Google Scholar 

  10. Ryde, T., Arajs, S. and Nunge, R.J., Heat transfer from a wire to hexane in a nonuniform electric field. Journal of Applied Physics, 1991, 69(2): 606–609.

    Article  Google Scholar 

  11. Srivastava, J.P., Elements of Solid State Physics. New Dehil: Prentice-Hall of India Pvt. Ltd, 2003.

    Google Scholar 

  12. Ziman, J.M., Electrons and Phonons. Landon: Oxford University Press, 1960.

    MATH  Google Scholar 

  13. Guan, Y.H., Fan, G., Zhang, J.T. and Wang, H.G., A study of heat conduction equation under electromagnetic field condition during laser heat treatment. In: Laser Processing of Materials and Industrial Applications II, Proceedings SPIE, 1998, 3550: 372–377.

  14. Kalkan, A.K. and Talmage, G., Heat transfer in liquid metals with electric currents and magnetic fields: the conduction case. International Journal of Heat and Mass Transfer, 1994, 37(3): 511–521.

    Article  Google Scholar 

  15. Zhu, L.L. and Zheng, X.J., A theory for electromagnetic heat conduction and a numerical model based on Boltzmann equation. International Journal of Nonlinear Sciences and Numerical Simulation, 2006, 7(3): 339–344.

    Article  Google Scholar 

  16. Chapman, S. and Cowling, T.G., The Mathematical Theory of Non-Uniform Gases. Great Britain: Cambridge University Press, 1970.

    MATH  Google Scholar 

  17. Tien, C.L., Majumdar, A. and Gerner, F.M., Microscale energy transport. Washington DC: Taylor & Francis, 1998.

    Google Scholar 

  18. Yan, S.S., Fundamentals of Solid State Physics. Beijing: Peking University Press, 2000.

    Google Scholar 

  19. Hashizume, H., Kurusu, T. and Toda, S., Numerical analysis of current distribution in type-II superconductors based on T-method. International Journal of Applied Electromagnetics in Materials, 1992, 3(3): 205–213.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key Laboratory of Mechanics on Western Disaster and Environment, Ministry of Education, PRC, Department of Mechanics and Engineering Science, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, 730000, China

    Huijuan Bai & Xiaojing Zheng

Authors
  1. Huijuan Bai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiaojing Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiaojing Zheng.

Additional information

Project supported by the National Basic Research Program of China (No. 2007CB607506) and in part by the National Natural Science Foundation of China (No. 90405005).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bai, H., Zheng, X. Heat transfer characteristics of conductive material under inner non-uniform electromagnetic fields. Acta Mech. Solida Sin. 24, 117–124 (2011). https://doi.org/10.1016/S0894-9166(11)60013-X

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(11)60013-X

Key words

Search

Navigation