Hyperbolic heat conduction in the semi-infinite body with a time-dependentlaser heat source

Authors
Citation
M. Lewandowska, Hyperbolic heat conduction in the semi-infinite body with a time-dependentlaser heat source, HEAT MASS T, 37(4-5), 2001, pp. 333-342
Citations number
21
Categorie Soggetti
Mechanical Engineering
Journal title
HEAT AND MASS TRANSFER
ISSN journal
09477411 → ACNP
Volume
37
Issue
4-5
Year of publication
2001
Pages
333 - 342
Database
ISI
SICI code
0947-7411(200107)37:4-5<333:HHCITS>2.0.ZU;2-7
Abstract
The Cattaneo hyperbolic and classical parabolic models of heat conduction i n the laser irradiated materials are compared. Laser heating is modelled as an internal heat source, whose capacity is given by g(x, t) = I(t)(1 - R)m u exp(-mux). Analytical solution for the one-dimensional, semi-infinite bod y with the insulated boundary is obtained using Laplace transforms and the discussion of solutions for different time characteristics of the heat sour ce capacity (constant, instantaneous, exponential, pulsed and periodic) is presented.