Analytical Investigation of Non-Fourier Bioheat Transfer in the Axisymmetric Living Tissue Exposed to Pulsed Laser Heating Using Finite Integral Transform Technique
- 22 September 2021
- journal article
- research article
- Published by ASME International in Journal of Heat Transfer
- Vol. 143 (12)
- https://doi.org/10.1115/1.4052155
Abstract
The present article proposed the closed-form solution of the generalized non-Fourier model-based bio-heat transfer equation (BHTE) in Cylindrical coordinates to understand the thermal behavior of living tissue heated by a pulsed laser. The axisymmetric living tissue exposed to the non-Gaussian temporal profile of laser heating has been considered to investigate the non-Fourier bio-heat transfer phenomena. The closed-form solution of the generalized non-Fourier model-based BHTE with time-dependent thermal energy generation has been obtained through the finite integral transform technique. The analytical solution was juxtaposed to the corresponding numerical solution in order to determine its reliability. The numerical solution of the aforementioned governing equation has been obtained by the finite volume method. The results of both analytical and numerical solutions have been verified using results given in published literature. Subsequently, the dual-phase-lag model's findings were juxtaposed to those obtained using the hyperbolic and traditional Fourier models. The effect of different parameters like relaxation times corresponding to the temperature gradient and heat flux, metabolic energy generation, and blood perfusion on the resultant temperature distribution inside the axisymmetric living tissue exposed to pulsed laser heating has been discussed. The importance of the present study might be found in various applications such as laser-based-photo-thermal therapy, melting of the surface of metal and alloys by laser heating, etc.Keywords
This publication has 47 references indexed in Scilit:
- Boundary element method with bioheat equation for skin burn injuryClinical Dermatology and Surgery, 2009
- Analysis for the dual-phase-lag bio-heat transfer during magnetic hyperthermia treatmentInternational Journal of Heat and Mass Transfer, 2009
- Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surfaceMedical Engineering & Physics, 2007
- Numerical analysis of dual-phase-lag heat transfer in a layered cylinder with nonlinear interface boundary conditionsComputer Physics Communications, 2007
- Non-fourier heat condution behavior in finite mediums under pulse surface heatingMaterials Science and Engineering: A, 2000
- Modelling non-Fourier heat conduction with periodic thermal oscillation using the finite integral transformApplied Mathematical Modelling, 1999
- The unsteady solutions of a unified heat conduction equationInternational Journal of Heat and Mass Transfer, 1997
- A Finite Element Model of Skin Subjected to a Flash FireJournal of Biomechanical Engineering, 1994
- On the Interface Temperature of Two Suddenly Contacting MaterialsJournal of Heat Transfer, 1975
- Non-Fourier Effects at High Heat FluxJournal of Heat Transfer, 1973