Symmetries and approximate solution of energy transfer equations in short pulse laser heating

M. Pakdemirli; I. T. Dolapçi; B. S. Yilbaş

doi:10.1016/j.ijthermalsci.2006.11.015

Symmetries and approximate solution of energy transfer equations in short pulse laser heating

M. Pakdemirli^*
, I. T. Dolapçi
, B. S. Yilbaş

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Energy transfer equations in laser heating are considered. Symmetries of the equations are calculated by Lie Group theory. Using the symmetries, the equations are transferred to an ordinary differential system. Equations are approximately solved by strained parameter method, a perturbation technique. A boundary value problem in which the laser beam transfers heat to the surface is treated. Closed form approximate solutions for electron and lattice site temperature rise are obtained for a solid layer heated at the surface with a time decaying intensity pulse. Analytical solutions are verified by numerical simulations.

Original language	English
Pages (from-to)	908-913
Number of pages	6
Journal	International Journal of Thermal Sciences
Volume	46
Issue number	9
DOIs	https://doi.org/10.1016/j.ijthermalsci.2006.11.015
State	Published - Sep 2007

Bibliographical note

Funding Information:
The authors acknowledge the support of TÜB˙TAK under project No: 104T514. B.S. Yılbas¸ acknowledges the support of King Fahd University of Petroleum and Minerals.

Keywords

Laser heating
Lie groups
Perturbation methods
Symmetry groups

ASJC Scopus subject areas

Condensed Matter Physics
General Engineering

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10.1016/j.ijthermalsci.2006.11.015

Cite this

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title = "Symmetries and approximate solution of energy transfer equations in short pulse laser heating",

abstract = "Energy transfer equations in laser heating are considered. Symmetries of the equations are calculated by Lie Group theory. Using the symmetries, the equations are transferred to an ordinary differential system. Equations are approximately solved by strained parameter method, a perturbation technique. A boundary value problem in which the laser beam transfers heat to the surface is treated. Closed form approximate solutions for electron and lattice site temperature rise are obtained for a solid layer heated at the surface with a time decaying intensity pulse. Analytical solutions are verified by numerical simulations.",

keywords = "Laser heating, Lie groups, Perturbation methods, Symmetry groups",

author = "M. Pakdemirli and Dolap{\c c}i, \{I. T.\} and Yilba{\c s}, \{B. S.\}",

note = "Funding Information: The authors acknowledge the support of T{\"U}B˙TAK under project No: 104T514. B.S. Yılbas¸ acknowledges the support of King Fahd University of Petroleum and Minerals.",

year = "2007",

month = sep,

doi = "10.1016/j.ijthermalsci.2006.11.015",

language = "English",

volume = "46",

pages = "908--913",

journal = "International Journal of Thermal Sciences",

issn = "1290-0729",

publisher = "Elsevier Masson s.r.l.",

number = "9",

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TY - JOUR

T1 - Symmetries and approximate solution of energy transfer equations in short pulse laser heating

AU - Pakdemirli, M.

AU - Dolapçi, I. T.

AU - Yilbaş, B. S.

N1 - Funding Information: The authors acknowledge the support of TÜB˙TAK under project No: 104T514. B.S. Yılbas¸ acknowledges the support of King Fahd University of Petroleum and Minerals.

PY - 2007/9

Y1 - 2007/9

N2 - Energy transfer equations in laser heating are considered. Symmetries of the equations are calculated by Lie Group theory. Using the symmetries, the equations are transferred to an ordinary differential system. Equations are approximately solved by strained parameter method, a perturbation technique. A boundary value problem in which the laser beam transfers heat to the surface is treated. Closed form approximate solutions for electron and lattice site temperature rise are obtained for a solid layer heated at the surface with a time decaying intensity pulse. Analytical solutions are verified by numerical simulations.

AB - Energy transfer equations in laser heating are considered. Symmetries of the equations are calculated by Lie Group theory. Using the symmetries, the equations are transferred to an ordinary differential system. Equations are approximately solved by strained parameter method, a perturbation technique. A boundary value problem in which the laser beam transfers heat to the surface is treated. Closed form approximate solutions for electron and lattice site temperature rise are obtained for a solid layer heated at the surface with a time decaying intensity pulse. Analytical solutions are verified by numerical simulations.

KW - Laser heating

KW - Lie groups

KW - Perturbation methods

KW - Symmetry groups

UR - https://www.scopus.com/pages/publications/34347244883

U2 - 10.1016/j.ijthermalsci.2006.11.015

DO - 10.1016/j.ijthermalsci.2006.11.015

M3 - Article

AN - SCOPUS:34347244883

SN - 1290-0729

VL - 46

SP - 908

EP - 913

JO - International Journal of Thermal Sciences

JF - International Journal of Thermal Sciences

IS - 9

ER -

Symmetries and approximate solution of energy transfer equations in short pulse laser heating

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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