Volume 5, Issue 1, March 2019, Page: 32-37
Heating Effects Induced in a Finite Silver Selenide Slab by a Modelled Laser Internal Source Using the Hyperbolic Heat Conduction (HHCE) Model in Dimensionless Domain
Mohamed Abdelhady Kamel El-Adawi, Physics Department, Faculty of Education, Ain Shams University, Cairo, Egypt
Safaa Abdelfattah Shalaby, Physics Department, Faculty of Education, Ain Shams University, Cairo, Egypt
Hoda Saad Al-Fanakh, Physics Department, Faculty of Science for Girls, Dammam University, Dammam, Saudia Arabia
Received: Mar. 11, 2019;       Accepted: Apr. 16, 2019;       Published: May 20, 2019
DOI: 10.11648/j.ijamtp.20190501.14      View  238      Downloads  24
Abstract
Lasers of high power densities are useful for a variety of material processing techniques. Laser heating of a finite homogeneous Silver Selenide slab is studied according to the hyperbolic heat conduction model. Laplace Integral transform technique is used to get the solution. This material suffers phase transition from semiconductor to metallic phase at 403 K. It has vital technological applications. The obtained temperature field makes it possible to determine the time required to initiate phase transition or melting. The functional dependence of the obtained functions is revealed. Different laser power densities are considered as illustrative examples.
Keywords
Laser Heating, Internal Heating Source, (HHCE) Heating Model, Phase Transition in Silver Selenide Slab, Laplace Integral Transform in Heating Problems
To cite this article
Mohamed Abdelhady Kamel El-Adawi, Safaa Abdelfattah Shalaby, Hoda Saad Al-Fanakh, Heating Effects Induced in a Finite Silver Selenide Slab by a Modelled Laser Internal Source Using the Hyperbolic Heat Conduction (HHCE) Model in Dimensionless Domain, International Journal of Applied Mathematics and Theoretical Physics. Vol. 5, No. 1, 2019, pp. 32-37. doi: 10.11648/j.ijamtp.20190501.14
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
Ready J. F., Effects due to absorption of laser radiation, J. Appl. Phys., Vol. 36 pp. 462-468 (1965).
[2]
Ready J. F., Industrial Application of Lasers – New York, Academic Press (1978).
[3]
Brorson S. D., Fujinoto J. G. Jappen E. P., Femtosecond electronic heat- transport dynamics in thin gpld films, Phys. Rev. lett. 59: 1962-1965 (1978).
[4]
El- Adawi, M. K., Laser melting of solids- An exact solution for time intervals less or equal to the transit time, J. Appl. Phys. vol. 60 No. (7) pp. 2256-2259 (1986).
[5]
El-Adawi M. K., E. F. El-shehawey, Heating a slab induced by a time dependent laser irradiance-An exact Solution, J. Appl. Phys. Vol. 60 No. (7) pp. 2250-2255 (1986).
[6]
Olstad R. A., Olander D. R., Evaporation of solids by laser pulses, J. Appl. Phys. vol. 46, pp. 1499-1508 (1975).
[7]
Porteus J. O, Choyke W. T. and Hoffman R. A., Pulsed Laser damage characteristic of vapor-deposited copper mirrors on Silicon Carbide substrate, Appl. Opt. vol 9, pp., 451-454 (1980).
[8]
Lewandowska M., Hyperbolic heat conduction in the semi-infinite body with a time- dependent laser heat source, Heat and Mass Transfer, Vol. 37, pp. 333-342 (2001).
[9]
Miki M., super formation and phase transition in silver selenide, J. Appl. Phys. vol. 30, No. 8, pp. 1765-1769 (1991).
[10]
Kumar MC. S, Pradeep B., structural, electical and optical properties of silver selenide thin films, Semiconductor Science and Technology vol. 7, pp. 261– 265 (2002).
[11]
Schoen, D. T., Yie C., Cui Y., Electerical switching and phase transformation in silve selenide nanowires, J. of the American Chemical Society vol. 129, No. 14, pp. 4116-4117 (2007).
[12]
Zubair SM., Aslam Chaudhry M., Heat conduction in a semi-infinite solid due to time-dependent laser source., Int. J. Heat Mass Transfer vol. 39 pp. 3069-3074 (1996).
[13]
Ghez R. A. and Laff. R. A., Laser heating and melting of thin films in low- conductivity substrate, J. Appl Phys., Vol. 46 (5) pp. 2103-2110 (1975).
[14]
El- Adawi M. K., Shalaby S. A., Pulsed Laser heating of a finite silve selenide slab using (HHCE) model, Applied Mathematics, vol. 9 pp..355-368 (2018).
[15]
Rainville E. D., Bedient P. E., Elementary Differential equations 5th edition, Macmillan Publishing Co. New York, Ch. 9 pp. 144 (1974).
[16]
Roberts G. E and Kaufman H., Tables of Laplace Transforms. Saunders Company Lando, pp. 254 (1980).
[17]
Gradshteyn I. S., Ryzhik I. M., Table of integrals, series, and products, Academic Press, New York (1980).
[18]
Murray R. Spiegel. Schaum's Outline Series, Laplace Transforms. McGraw-Hill Book Company, New York (1880).
[19]
Hector L. G., Kim W. S., Ozisik M. N., Propagation and reflection of thermal waves in a finite medium due to axisymmetric surface sources., Int J. Heat Mass Trans. 35: 897-912 (1992).
[20]
Bhattacharyya A., and. Streetman B. G., Dynamics of pulsed laser annealing of silicon, J. Phys. D: Appl Phys., 14: L 67-72 (1981).
[21]
Dean J. A., Lange's handbook of chemistry. McGraw-Hill Book Company, New York, pp. 126-127 (1978).
[22]
West A. R., Basic solid state chemistry, John Wiley & Sons (1999).
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