Hyperbolic Temperature Profiles In An Elastic Half-Space By Laser Pulses

  K. Venkateswara Reddy1 and D. Rama Murthy2

1 Department of Mathematics, MLR Institute of Technology, Dundigal, R.R District, Hyderabad – 500 043, Andhra Pradesh, INDIA.

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2Retired Professor of Mathematics, Academic Director, Vasundara Group of Colleges, Hyderabad – 500 007, Andhra Pradesh, INDIA.




The discovery of Lasers in the early sixties has opened up new era in the field of science and technology, in particular in the field of heat transfer. Most Lasers are heat producing devices converting Electro-magnetic energy   into thermal energy. Hyperbolic heat conduction is gaining importance not only in engineering sciences but also in geological and biological sciences.  It is necessary to consider hyperbolic heat conduction in problems involving short time intervals, and for very high heat fluxes. In this paper we determined the temperature distribution in an elastic half space produced by a flux of radiation energy incident on its boundary by using the modified hyperbolic heat conduction equation which includes the effect of the finiteness of heat propagation velocity. The results are obtained using the General Inverse method which is also known as Fourier’s series technique, evaluated the results numerically and represented graphically.

Key words:
Heat transfer, Hyperbolic heat conduction, Temperature profile, Laser radiation, Heat flux.

AMS Classification: 34B07, 34B40




International eJournal of Mathematics and Engineering

Volume 3, Issue 4, Pages:  1819 - 1829