Heat transfer characteristics of conductive material under inner non-uniform electromagnetic fields
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.
Key wordsheat conduction non-uniform electromagnetic field Boltzmann equation
Unable to display preview. Download preview PDF.
- 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
- Srivastava, J.P., Elements of Solid State Physics. New Dehil: Prentice-Hall of India Pvt. Ltd, 2003.Google Scholar
- 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.Google Scholar
- Tien, C.L., Majumdar, A. and Gerner, F.M., Microscale energy transport. Washington DC: Taylor & Francis, 1998.Google Scholar
- Yan, S.S., Fundamentals of Solid State Physics. Beijing: Peking University Press, 2000.Google Scholar
- 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