NUMERICAL ANALYSIS OF BIOLOGICAL TISSUE HEATING USING THE DUAL-PHASE LAG EQUATION WITH TEMPERATURE – DEPENDENT PARAMETERS

Ewa Majchrzak; Mikołaj Stryczyński

doi:10.17512/jamcm.2022.3.07

NUMERICAL ANALYSIS OF BIOLOGICAL TISSUE HEATING USING THE DUAL-PHASE LAG EQUATION WITH TEMPERATURE – DEPENDENT PARAMETERS

Ewa Majchrzak
, Mikołaj Stryczyński

Katedra Mechaniki i Inżynierii Obliczeniowej (RMT/RMT4)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

10 Cytowania z bazy Scopus

Abstrakt

The dual-phase lag equation is formulated for the case when the thermophysical parameters occurring in this equation are temperature-dependent. The axial-symmetrical domain of biological tissue heated by an external heat source is considered. The problem is solved using the implicit scheme of the finite difference method. At the stage of numerical computations, the analytical relationships taken from the literature describing changes in parameters are taken into account.

Język oryginału	angielski
Strony (od–do)	85-98
Liczba stron	14
Czasopismo	Journal of Applied Mathematics and Computational Mechanics
Tom	21
Numer wydania	3
Identyfikatory DOI	https://doi.org/10.17512/jamcm.2022.3.07
Status publikacji	Opublikowano - 2022

Obszary tematyczne ASJC Scopus

Matematyka stosowana
Analiza numeryczna
Matematyka obliczeniowa
Analiza
Inżynieria mechaniczna

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10.17512/jamcm.2022.3.07

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abstract = "The dual-phase lag equation is formulated for the case when the thermophysical parameters occurring in this equation are temperature-dependent. The axial-symmetrical domain of biological tissue heated by an external heat source is considered. The problem is solved using the implicit scheme of the finite difference method. At the stage of numerical computations, the analytical relationships taken from the literature describing changes in parameters are taken into account.",

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language = "English",

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AU - Stryczyński, Mikołaj

PY - 2022

Y1 - 2022

N2 - The dual-phase lag equation is formulated for the case when the thermophysical parameters occurring in this equation are temperature-dependent. The axial-symmetrical domain of biological tissue heated by an external heat source is considered. The problem is solved using the implicit scheme of the finite difference method. At the stage of numerical computations, the analytical relationships taken from the literature describing changes in parameters are taken into account.

AB - The dual-phase lag equation is formulated for the case when the thermophysical parameters occurring in this equation are temperature-dependent. The axial-symmetrical domain of biological tissue heated by an external heat source is considered. The problem is solved using the implicit scheme of the finite difference method. At the stage of numerical computations, the analytical relationships taken from the literature describing changes in parameters are taken into account.

KW - bioheat transfer

KW - dual-phase lag model

KW - finite difference method

KW - temperature-dependent parameters

UR - https://www.scopus.com/pages/publications/85142211950

U2 - 10.17512/jamcm.2022.3.07

DO - 10.17512/jamcm.2022.3.07

M3 - Article

AN - SCOPUS:85142211950

SN - 2299-9965

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JO - Journal of Applied Mathematics and Computational Mechanics

JF - Journal of Applied Mathematics and Computational Mechanics

IS - 3

ER -

NUMERICAL ANALYSIS OF BIOLOGICAL TISSUE HEATING USING THE DUAL-PHASE LAG EQUATION WITH TEMPERATURE – DEPENDENT PARAMETERS

Abstrakt

Obszary tematyczne ASJC Scopus

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