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256966

A numerical solution of 2-D single-phase-lag (SPL) bio-heat model using alternating direction implicit (ADI) finite difference method

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Applied mathematics

Abstract

Abstract

Here, the two-dimensional single-phase-lag (SPL) bioheat transfer model in biological tissue by considering the heat conduction law is introduced. The formulated SPL bioheat model is an extension of the bioheat transfer models proposed by Pennes, Cattaneo-Vernotte, and Tzou. Through this model, the thermal properties of living tissues, as well as the temperature distribution in living tissues, and the estimated resulting thermal damage due to laser irradiation are studied. The effects of delay time, blood perfusion, metabolism, and laser parameters on the spread of heat in the body and the resulting thermal damage are studied. Also, comparisons have been made between the results from the SPL and Pennes bio-heat models as well as the resulting thermal damage. The results of the SPL bio-heat model have been compared with previous results. The used numerical method is the (ADI) finite difference method. The proposed ADI difference scheme is unconditionally stable. The results have been presented graphically and discussed in detail.

DOI

10.21608/sjsci.2022.154607.1020

Keywords

Keywords: ADI finite difference, delay time, Laser radiation, thermal damage, SPL Bioheat transfer

Authors

First Name

Ibrahim

Last Name

Abbas

MiddleName

-

Affiliation

Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

Email

ibrabbas7@science.sohag.edu.eg

City

Sohag

Orcid

0000-0001-9595-439X

First Name

Aboelnour

Last Name

Abdalla

MiddleName

-

Affiliation

Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

Email

aboelnour2020@science.sohag.edu.eg

City

sohag

Orcid

-

First Name

Fathi

Last Name

Anwar

MiddleName

-

Affiliation

Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

Email

fathianwur@yahoo.com

City

sohag

Orcid

-

First Name

Hussien

Last Name

Sapoor

MiddleName

-

Affiliation

Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

Email

hussien.abdalnaeem1@science.sohag.edu.eg

City

sohag

Orcid

-

Volume

7

Article Issue

3

Related Issue

35432

Issue Date

2022-09-01

Receive Date

2022-08-05

Publish Date

2022-09-01

Page Start

131

Page End

141

Print ISSN

2357-0938

Online ISSN

2974-4296

Link

https://sjsci.journals.ekb.eg/article_256966.html

Detail API

https://sjsci.journals.ekb.eg/service?article_code=256966

Order

256,966

Type

Regular Articles

Type Code

2,359

Publication Type

Journal

Publication Title

Sohag Journal of Sciences

Publication Link

https://sjsci.journals.ekb.eg/

MainTitle

A numerical solution of 2-D single-phase-lag (SPL) bio-heat model using alternating direction implicit (ADI) finite difference method

Details

Type

Article

Created At

23 Jan 2023