Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 32, Issue 6, Pages 1944-1960Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/HFF-03-2021-0201
Keywords
Thermo-viscoelastic theory; Pennes' bioheat transfer; Fractional calculus; Volume relaxation effects; Laplace and Fourier transforms
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The study uses the system of equations for fractional thermo-viscoelasticity to investigate bioheat transfer and heat-induced mechanical response in human skin tissue. The results show that volume relaxation parameters and fractional order parameters play a significant role in all considered fields, impacting various distributions.
Purpose The system of equations for fractional thermo-viscoelasticity is used to investigate two-dimensional bioheat transfer and heat-induced mechanical response in human skin tissue with rheological properties. Design/methodology/approach Laplace and Fourier's transformations are used. The resulting formulation is applied to human skin tissue subjected to regional hyperthermia therapy for cancer treatment. The inversion process for Fourier and Laplace transforms is carried out using a numerical method based on Fourier series expansions. Findings Comparisons are made with the results anticipated through the coupled and generalized theories. The influences of volume materials properties and fractional order parameters for all the regarded fields are examined. The results indicate that volume relaxation parameters, as well as fractional order parameters, play a major role in all considered distributions. Originality/value Bio-thermo-mechanics includes bioheat transfer, biomechanics, burn injury and physiology. In clinical applications, knowledge of bio-thermo-mechanics in living tissues is very important. One can infer from the numerical results that, with a finite distance, the thermo-mechanical waves spread to skin tissue, removing the unrealistic predictions of the Pennes' model.
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