Numerical model of biological tissue heating using the models of bio–heat transfer with delays
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 i...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2019-01-01
|
| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/54/e3sconf_icchmt2019_02002.pdf |
| _version_ | 1818320721185603584 |
|---|---|
| author | Majchrzak Ewa Mochnacki Bohdan |
| author_facet | Majchrzak Ewa Mochnacki Bohdan |
| author_sort | Majchrzak Ewa |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T10:29:30Z |
| format | Article |
| id | doaj.art-b9ac37360ea24214b65d010bd0aa0f0a |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-13T10:29:30Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-b9ac37360ea24214b65d010bd0aa0f0a2022-12-21T23:50:54ZengEDP SciencesE3S Web of Conferences2267-12422019-01-011280200210.1051/e3sconf/201912802002e3sconf_icchmt2019_02002Numerical model of biological tissue heating using the models of bio–heat transfer with delaysMajchrzak EwaMochnacki BohdanThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/54/e3sconf_icchmt2019_02002.pdf |
| spellingShingle | Majchrzak Ewa Mochnacki Bohdan Numerical model of biological tissue heating using the models of bio–heat transfer with delays E3S Web of Conferences |
| title | Numerical model of biological tissue heating using the models of bio–heat transfer with delays |
| title_full | Numerical model of biological tissue heating using the models of bio–heat transfer with delays |
| title_fullStr | Numerical model of biological tissue heating using the models of bio–heat transfer with delays |
| title_full_unstemmed | Numerical model of biological tissue heating using the models of bio–heat transfer with delays |
| title_short | Numerical model of biological tissue heating using the models of bio–heat transfer with delays |
| title_sort | numerical model of biological tissue heating using the models of bio heat transfer with delays |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/54/e3sconf_icchmt2019_02002.pdf |
| work_keys_str_mv | AT majchrzakewa numericalmodelofbiologicaltissueheatingusingthemodelsofbioheattransferwithdelays AT mochnackibohdan numericalmodelofbiologicaltissueheatingusingthemodelsofbioheattransferwithdelays |