Non‐Fourier Boundary Conditions Effects on the Skin Tissue Temperature Response

Abstract

Thermal wave and dual phase lag bioheat transfer equations are solved analytically in the skin tissue exposed to oscillatory and constant surface heat flux. Comparison between the application of Fourier and non-Fourier boundary conditions on the skin tissue temperature distributions is studied. The amplitude of temperature responses increases and also the phase shift between the temperature responses and heat flux decreases under the non-Fourier boundary conditions for the case of an oscillatory surface heat flux. It is supposed the stable temperature cycles in order to estimate the blood perfusion rate via the existing phase shift between the surface heat fluxes and the temperature responses. It is shown that the higher rates of the blood perfusion correspond to lower phase shift between the surface temperature responses and the imposed heat flux. C⃝ 2015 Wiley Periodicals, Inc. Heat Trans Asian Res, 46(1): 29-48, 2017; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj).

Study Of Various Thermal Conductivity Layers in Bioheat Transfer Against Thermal Distribution on Human Skin with Finite Difference Method (FDM)

“…The calculation results of the finite elements with analytic solutions were telling that the more points used, are going to be more precise the analytical results. Another example has been done by researchers using the non-Fourier fractional model et al [7], [8], [9], [10] which surely cases explored the appliance [11], [12]. However, the calculation still uses parameters that are equated with water, and therefore the thermal conductivity parameter of the skin is merely considered one thermal conductivity.…”