**InternationaleJournals**

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

** ****K. Venkateswara Reddy ^{1} and D. Rama Murthy^{2}**

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

Email: drkvreddy2k3@rediffmail.com and drkvreddy@mlrinstitutions.ac.in

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

Email: drmurthy2k1@yahoo.co.in

**Abstract**

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