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Analytical solution of non-Fourier and Fourier bioheat transfer analysis during laser irradiation of skin tissue

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Abstract

The thermal wave and the Pennes bioheat transfer models are solved analytically by employing the Laplace transform method for small and large values of reflection power (albedo) during laser irradiation. Most of the previous studies have been based on the infinite heat diffusion velocity, but non-Fourier thermal behavior has been observed experimentally in biological tissue. At low initial albedo values, the temperature in the skin depth that directly results from conduction heat transfer process is caused by the lengthy thermal relaxation time in skin tissue. This condition generates a big difference between the thermal wave and Pennes results at the beginning of the heating process. This difference increases under short-time heating condition and high heat flux. However, with high initial albedo, the temperature distribution in the skin depth becomes negligible because of the skin absorption of laser beams. The non-Fourier effect should be considered during laser heating with low albedo, because errors in the predicted temperature values may occur.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Isfahan, 81746-73441, Isfahan, Iran

    H. Ahmadikia

  2. Department of Mechanical Engineering, Bu-Ali Sina University, Hamadan, Iran

    A. Moradi

  3. Young Researchers Club, Hamadan Branch, Islamic Azad University, Hamadan, Iran

    R. Fazlali & A. Basiri Parsa

Authors
  1. H. Ahmadikia
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  2. A. Moradi
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  3. R. Fazlali
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  4. A. Basiri Parsa
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Correspondence to H. Ahmadikia.

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Recommended by Associate Editor Dongsik Kim

Hossein Ahmadikia is an assistant professor of Mechanical Engineering at the University of Isfahan, Isfahan, Iran. He received his B.Sc. degree in Ferdosi University, Mashad, Iran in 1990. He received his M.Sc. and Ph.D degrees from Isfahan University of Technology, Isfahan, Iran in 1993 and 2000, respectively. His research focuses on biological heat transfer and turbulence modeling.

Amir Moradi received his B.Sc. degree in Mechanical Engineering from Semnan University, Semnan, Iran in 2008. He received his M.Sc. degree from Bu-Ali sina University, Hamadan, in 2010. His research interests focuses on bioheat transfer and advanced CFD modeling.

Reza Fazlali received his B.Sc. and M.Sc. degrees in Mechanical Engineering from Bu-Ali sina University, Hamadan, Iran in 2007 and 2010, respectively. His research interests focuses on bioheat transfer and analytical solutions for mechanics of fluids.

Amir Basiri Parsa completed his BSc. and MSc. degrees in Mechanical Engineering at the Bu-Ali sina University, Hamedan, Iran in 2008 and 2011, respectively. He is currently a Ph.D student at this University. His research interests include analytical solution for boundary layer problems and optimization of thermodynamics cycles.

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Ahmadikia, H., Moradi, A., Fazlali, R. et al. Analytical solution of non-Fourier and Fourier bioheat transfer analysis during laser irradiation of skin tissue. J Mech Sci Technol 26, 1937–1947 (2012). https://doi.org/10.1007/s12206-012-0404-9

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  • DOI: https://doi.org/10.1007/s12206-012-0404-9

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