Analytical Solution of the Hyperbolic Heat Conduction Equation for Moving Semi-Infinite Medium under the Effect of Time-Dependent Laser Heat Source
Joint Authors
al-Ofey, Z. M.
al-Khairy, R. T.
Source
Journal of Applied Mathematics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-06
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper presents an analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time dependent laser heat source.
Laser heating is modeled as an internal heat source, whose capacity is given by g(x,t)=I(t)(1−R)μe−μx while the semi-infinite body has insulated boundary.
The solution is obtained by Laplace transforms method, and the discussion of solutions for different time characteristics of heat sources capacity (constant, instantaneous, and exponential) is presented.
The effect of absorption coefficients on the temperature profiles is examined in detail.
It is found that the closed form solution derived from the present study reduces to the previously obtained analytical solution when the medium velocity is set to zero in the closed form solution.
American Psychological Association (APA)
al-Khairy, R. T.& al-Ofey, Z. M.. 2009. Analytical Solution of the Hyperbolic Heat Conduction Equation for Moving Semi-Infinite Medium under the Effect of Time-Dependent Laser Heat Source. Journal of Applied Mathematics،Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-484414
Modern Language Association (MLA)
al-Khairy, R. T.& al-Ofey, Z. M.. Analytical Solution of the Hyperbolic Heat Conduction Equation for Moving Semi-Infinite Medium under the Effect of Time-Dependent Laser Heat Source. Journal of Applied Mathematics No. 2009 (2009), pp.1-18.
https://search.emarefa.net/detail/BIM-484414
American Medical Association (AMA)
al-Khairy, R. T.& al-Ofey, Z. M.. Analytical Solution of the Hyperbolic Heat Conduction Equation for Moving Semi-Infinite Medium under the Effect of Time-Dependent Laser Heat Source. Journal of Applied Mathematics. 2009. Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-484414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484414