ANALYSIS OF NON-FOURIER THERMAL BEHAVIOUR FOR MULTI-LAYER SKIN MODEL

Abstract

This paper studies the effect of micro-structural interaction on bioheat transfer in skin, which was stratified into epidermis, dermis, and subcutaneous. A modified non-Fourier equation of bio-heat transfer was developed based on the second-order Taylor expansion of dual-phase-lag model and can be simplified as the bio-heat transfer equations derived from Pennes' model, thermal wave model, and the linearized form of dual-phase-lag model. It is a fourth order partial differential equation, and the boundary conditions at the interface between two adjacent layers become complicated. There are mathematical difficulties in dealing with such a problem. A hybrid numerical scheme is extended to solve the present problem. The numerical results are in a good agreement with the contents of open literature. It evidences the rationality and reliability of the present results.

Keywords

Dates

  • Submission Date2010-07-11
  • Revision Date2010-09-20
  • Acceptance Date2010-11-11

DOI Reference

10.2298/TSCI11S1061L

References

  1. Liu, J., Chen, X., Xu, L. X., New Thermal Wave Aspects on Burn Evaluation of Skin Subjected to Instantaneous Heating, IEEE. Trans. Biomedical Engineering, 46 (1999), 4, pp. 420-428
  2. Liu, K. C., Thermal Propagation Analysis for Living Tissue with Surface Heating, Int. J. Thermal Science, 47 (2008), 5, pp. 507-513
  3. Özen, Ş., Helhel, S., Çerezci, O., Heat Analysis of Biological Tissue Exposed to Microwave by Using Thermal Wave Model of Bio-Heat Transfer, Burns, 34 (2008), 1, pp. 45-49
  4. Shih, T. C., et al., The Impact of Thermal Wave Characteristics on Thermal Dose Distribution During Thermal Therapy: a Nnumerical Study, Medical Physics, 32 (2005), 9, pp. 3029-3036
  5. Tzou, D. Y., Macro-to-Microscale Heat Transfer: the Lagging Behavior, Taylor & Francis, Washington, DC, USA, 1996
  6. Antaki, P. J., New Interpretation of Non-Fourier Heat Conduction in Processed Meat, ASME J. Heat Transfer, 127 (2005), 2, pp. 189-193
  7. Xu, F., Seffen, K. A., Lu, T. J., Non-Fourier Analysis of Skin Biothermomechanics, Int. J. Heat and Mass Transfer, 51 (2008), 9-10, pp. 2237-2259
  8. Liu, K. C., Cheng, P. J., Finite Propagation of Heat Transfer in a Multi-Layer Tissue, AIAA Journal of Thermophysics and Heat Transfer, 22 (2008), 4, pp. 775-782
Volume 15, Issue 11, Pages61 -67