Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source

•The analytical solution of hyperbolic bio-heat equation is presented.•The exact solution in the domain of Laplace’s transform is obtained.•The effects of heat source velocity on the thermal damages are studied. In this paper, the analytical solution of hyperbolic bio-heat equation under intense mov...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2018-09, Vol.124, p.1011-1014
Main Authors: Hobiny, Aatef D., Abbas, Ibrahim A.
Format: Article
Language:English
Subjects:
Bio-heat transfer
Damage assessment
Graphical representations
Heat transfer
Laplace transform
Laplace transforms
Mathematical models
Proteins
Relaxation time
Skin
Skin tissues
Thermal damage
Thermal relaxation
Tissues
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Summary:•The analytical solution of hyperbolic bio-heat equation is presented.•The exact solution in the domain of Laplace’s transform is obtained.•The effects of heat source velocity on the thermal damages are studied. In this paper, the analytical solution of hyperbolic bio-heat equation under intense moving heat source is presented. The exact solution in the domain of Laplace’s transform is obtained. The thermal damages to the tissues are evaluated by the extent of the denatured protein employing with the Arrhenius equation. The results indicate that the hyperbolic bio-heat model reduces to the parabolic bio-heat model when the thermal relaxation time is zero. Numerical results for temperatures and thermal damages are represented graphically. The effects of heat source velocity on the temperature of skin tissue and thermal damages are studied. These results can be used as a confirmation part for studying the practical operations such as scanning laser treatment and other numerical solutions.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2018.04.018