Non-local three phase lag bio thermal modeling of skin tissue and experimental evaluation

Azhdari, Mohammad; Seyedpour, Seyed Morteza; Lambers, Lena; Tautenhahn, Hans-Michael; Tautenhahn, Franziska; Ricken, Tim; Rezazadeh, Ghader

doi:10.1016/j.icheatmasstransfer.2023.107146

Cited by 1 publication

(1 citation statement)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the literature, one can find the few works in which the equation with three lag times is considered, e.g., [17,18]. In the papers on delay-time equations, the limits that ensure the physical correctness of the model are also analyzed.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of a Process for Heating Thin Metal Film Described by the Dual-Phase Lag Equation with Temperature-Dependent Thermophysical Parameters to Perturbations of Lag Times

Majchrzak,

Mochnacki

2024

Energies

View full text Add to dashboard Cite

In the paper, an equation with two delay times (dual-phase lag Equation (DPLE)) in a version that takes into account the dependence of thermophysical parameters (volumetric specific heat and thermal conductivity) on temperature is considered. In particular, an analysis of the sensitivity of transient temperature field in relation to disturbances in delay times (the relaxation and thermalization times) is performed. The sensitivity model concerns the process of heating an ultrathin metal layer with a laser beam. First, the equation with two delay times in the case of temperature-dependent thermophysical parameters is presented. Next, the sensitivity equations with respect to delay times are derived using the direct method. The algorithms for solving the basic and sensitivity tasks are also briefly presented. At the stage of computations, an authorial program based on the implicit scheme of a finite-difference method is developed. In the final part of the paper, examples of numerical solutions (for layers made from gold and nickel) are presented. The research conducted here shows that disturbances in the temperature field are clearly visible and depend, on the one hand, on the thermophysical parameters of the material, and on the other hand, on the intensity of heating with an external heat source.

show abstract

Section: Introductionmentioning

confidence: 99%