Simulation 0f the Heat Transfer in the Nanocathode


The heat transfer processis simulated in a nano-sized cone-shaped cathode. A model of heat transfer is constructed using the phase field system and theNottingham effect. We considerinfluence of the free boundary curvature and the Nottingham effect on the heat balance in the cathode.

Share and Cite:

Daniov, V. , Rudnev, V. and Kretov, V. (2012) Simulation 0f the Heat Transfer in the Nanocathode. Open Journal of Applied Sciences, 2, 78-81. doi: 10.4236/ojapps.2012.24B019.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. Paulini, T. Klein, and G. Simon,“Thermo-field emission and the Nottingham effect,” J. Phys. D: Appl. Phys. 26 (1993) Printed In the UK, pp.1310-1315.
[2] G. Caginalp, “An analysis of a phase field model of afree boundary,” Arch. Rat. Mech. Anal. 92 (1986), pp.205-245.
[3] G. Gaginalp, Arc. Rational Mech. Anal., 92, 205 (1986).
[4] G. Gaginalp, in Applications of Field Phase Theory to Statistical Mech., v.216 of Lecture Notes in Physics, Springer, Berlin, p.216.
[5] V.G. Danilov, G.A. Omel’yanov, E.V. Radkevich,“Hugoniot type conditions and weak solutions to the phase field system,” Eur. Journ. Appl. Math. (1999), 10, pp.55-77.
[6] D.V. Glazanov, L.M. Baskin, G.N. Fursey, “Kinetics of pulse heating of sharp-shaped cathode with real geometry by emission current of a high density.”Journal of Tech. Phys., v. 59, n.5, (1989) pp. 60-68. English translation in Journal of Tech. Phys.
[7] P.I. Plotnikov and V.N.Starovoitov,“Stefan problem as the limit of the phase field system.” Differential Equations 29 (1993), 461–471.
[8] J.W. GribbsCollectedWorks, YaleUniversityPress, NewHaven, 1948.
[9] C.M. Elliot, J.R. Ockendon, “Weak and Variational Methods for Moving Boundary Problems,” Pitman, Boston, 1982.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.