Numerical modeling of biological tissue freezing process using the Dual-Phase-Lag Equation

2016 ◽  
pp. 413-417 ◽  
Author(s):  
B Mochnacki ◽  
E Majchrzak
Keyword(s):  
Numerical Modeling ◽  
Biological Tissue ◽  
Freezing Process ◽  
Phase Lag ◽  
Dual Phase

scholarly journals Numerical model of biological tissue heating using the models of bio–heat transfer with delays

2019 ◽  
Vol 128 ◽  
pp. 02002
Author(s):  
Ewa Majchrzak ◽  
Bohdan Mochnacki
Keyword(s):  
Numerical Model ◽  
Biological Tissue ◽  
Classical Model ◽  
Thermal Processes ◽  
Phase Lag ◽  
Dual Phase ◽  
Thermalization Time ◽  
External Heat Source ◽  
Order Form ◽  
Tissue Heating

The numerical model of thermal processes in domain of biological tissue subjected to an external heat source is discussed. The model presented is based on the second order dual–phase–lag equation (DPLE) in which the relaxation time and thermalization time thermalization time (τq and τT) are tak n into account. In this paper the homogeneous, cylindrical skin tissue domain is considered. The most important aim of the research is to compare the results obtained using the classical model (the first-orderDPLE) with the numerical solution resulting from the higher order form of this equation. At the stage of numerical computations the Finite Difference Method (FDM) is applied. In the final part of the paper the examples of computations are shown.

scholarly journals Dual-phase lag model of heat transfer between blood vessel and biological tissue

2021 ◽  
Vol 18 (2) ◽  
pp. 1573-1589
Author(s):  
Ewa Majchrzak ◽  
◽  
Mikołaj Stryczyński
Keyword(s):  
Heat Transfer ◽  
Blood Vessel ◽  
Biological Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model
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