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Heating of metals at a free surface by laser irradiation—an electron kinetic theory approach

Published online by Cambridge University Press:  09 March 2009

Bekir Sami Yilbas
Bekir Sami Yilbas
Affiliation:
Mechanical Engineering Department, Birmingham University, Birmingham (U.K.).
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Abstract

Application of Fourier theory to heat conduction due to laser irradiation at high power intensities (i.e. 1010 W/m2) gives errors of the order of 30 per cent at the upper end of the temperature rise time. This is caused by the assumptions made in the Fourier theory, since the heat flux through a given plane depends on the electron energy distribution through the material. On the scale of distance required to examine the problem, the material can no longer be considered as being a homogeneous continuum and when the power intensities of interest are concerned, the higher order terms in the heat transfer equation become important. Therefore, the problem requires to be examined in the quantum field. Application of electron kinetic theory to the problem enhances the solution within an accuracy greater than 90 per cent. The present theory introduces a new model for the conduction mechanism.

Type
Research Article
Information
Laser and Particle Beams , Volume 4 , Issue 2 , May 1986 , pp. 275 - 286
Copyright
Copyright © Cambridge University Press 1986

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References

Bakewell, B. A. 1973 Performance of pulsed laser systems in relation to machining mechanisms. Ph.D. Thesis, University of Birmingham, Birmingham.Google Scholar
Bloch, F. 1928 Z. Physik, 52, 555; 1929, 53, 216; 1930, 59, 208.CrossRefGoogle Scholar
Conte, S. D. & de Boor, C. 1972 Elementary numerical analysis. International student edition.Google Scholar
Croft, T. & Lilley, W. 1977 Heat transfer calculations using finite difference equations. Applied Science Publishers Ltd., London.Google Scholar
Dekker, A. J. 1975 Solid state physics, Macmillan student edition.Google Scholar
Harrington, R. E. 1968 J. Appl. Phys. Vol. 39, No. 8, p. 3699.CrossRefGoogle Scholar
Kittel, C. 1966 Introduction to solid state physics. John Wiley and Sons Company, 3rd edition.Google Scholar
Mott, N. F. & Jones, H. 1978 Theory of the properties of metals and alloys. Dover.Google Scholar
Palamutoglu, M. 1976 Instanbul Tek. Univ. Bül. Vol. 29, p. 101.Google Scholar
Riley, K. 1974 Thermodynamics of laser induced interaction processes in solids. Ph.D. Thesis, Mechanical Engineering Department, University of Birmingham, Birmingham.Google Scholar
Wilson, A. H. 1953 The theory of metals, 2nd editionCambridge, London pp. 8, 264.Google Scholar
Yilbas, B. S. 1982 Heat transfer mechanisms initiating the laser drilling of metals. Ph.D. Thesis, Mechanical Engineering Department, University of Birmingham, Birmingham.Google Scholar