The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatment
This work aims to study the influence of fractional derivatives and thermal relaxation time on two-dimensional biological tissues using an eigenvalue-based approach. Understanding the heat transfer mechanism and its thermomechanical interactions with the skin tissue of patients is crucial for the su...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-02-01
|
| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X2400056X |
| _version_ | 1797311527453196288 |
|---|---|
| author | Abdulhamed Alsisi Ibrahim Abbas Khaled Lotfy Alaa El-Bary Marwa Ahmed |
| author_facet | Abdulhamed Alsisi Ibrahim Abbas Khaled Lotfy Alaa El-Bary Marwa Ahmed |
| author_sort | Abdulhamed Alsisi |
| collection | DOAJ |
| description | This work aims to study the influence of fractional derivatives and thermal relaxation time on two-dimensional biological tissues using an eigenvalue-based approach. Understanding the heat transfer mechanism and its thermomechanical interactions with the skin tissue of patients is crucial for the successful implementation of thermal treatment procedure. The study employs Laplace and Fourier transforms, and the resulting formulations are applied to human tissues undergoing regional hyperthermia treatment for tumor therapy. The numerical inversion process for Laplace and Fourier transformations utilizes the Stehfest numerical inverse method. The results demonstrate that thermal relaxation time and fractional order parameter significantly influence all analyzed distributions. The numerical findings suggest that thermo-mechanical waves propagate through the skin tissue over finite distances, which helps mitigate the unrealistic predictions made by the Pennes' model. |
| first_indexed | 2024-03-08T02:01:45Z |
| format | Article |
| id | doaj.art-9bb6822ce05a4c38a192eaf3be84e96d |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-08T02:01:45Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-9bb6822ce05a4c38a192eaf3be84e96d2024-02-14T05:17:03ZengElsevierCase Studies in Thermal Engineering2214-157X2024-02-0154104025The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatmentAbdulhamed Alsisi0Ibrahim Abbas1Khaled Lotfy2Alaa El-Bary3Marwa Ahmed4Department of Mathematics, College of Science, Taibah University, P.O. Box 344, Al-Madinah Al-Munawarah, 30002, Saudi ArabiaMathematics Department, Faculty of Science, Sohag University, Egypt; Corresponding author.Department of Mathematics, College of Science, Taibah University, P.O. Box 344, Al-Madinah Al-Munawarah, 30002, Saudi Arabia; Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box44519, Zagazig, EgyptBasic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, EgyptDepartment of Mathematics, College of Science, Taibah University, P.O. Box 344, Al-Madinah Al-Munawarah, 30002, Saudi Arabia; Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box44519, Zagazig, EgyptThis work aims to study the influence of fractional derivatives and thermal relaxation time on two-dimensional biological tissues using an eigenvalue-based approach. Understanding the heat transfer mechanism and its thermomechanical interactions with the skin tissue of patients is crucial for the successful implementation of thermal treatment procedure. The study employs Laplace and Fourier transforms, and the resulting formulations are applied to human tissues undergoing regional hyperthermia treatment for tumor therapy. The numerical inversion process for Laplace and Fourier transformations utilizes the Stehfest numerical inverse method. The results demonstrate that thermal relaxation time and fractional order parameter significantly influence all analyzed distributions. The numerical findings suggest that thermo-mechanical waves propagate through the skin tissue over finite distances, which helps mitigate the unrealistic predictions made by the Pennes' model.http://www.sciencedirect.com/science/article/pii/S2214157X2400056XAnalytical solutionsThermomechanical interactionFractional time derivativeTwo-dimensional skin tissuesLaplace- fourier transformations |
| spellingShingle | Abdulhamed Alsisi Ibrahim Abbas Khaled Lotfy Alaa El-Bary Marwa Ahmed The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatment Case Studies in Thermal Engineering Analytical solutions Thermomechanical interaction Fractional time derivative Two-dimensional skin tissues Laplace- fourier transformations |
| title | The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatment |
| title_full | The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatment |
| title_fullStr | The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatment |
| title_full_unstemmed | The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatment |
| title_short | The impact of fractional derivative on thermomechanical interactions in two-dimensional skin tissues throughout hyperthermia treatment |
| title_sort | impact of fractional derivative on thermomechanical interactions in two dimensional skin tissues throughout hyperthermia treatment |
| topic | Analytical solutions Thermomechanical interaction Fractional time derivative Two-dimensional skin tissues Laplace- fourier transformations |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X2400056X |
| work_keys_str_mv | AT abdulhamedalsisi theimpactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT ibrahimabbas theimpactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT khaledlotfy theimpactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT alaaelbary theimpactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT marwaahmed theimpactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT abdulhamedalsisi impactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT ibrahimabbas impactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT khaledlotfy impactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT alaaelbary impactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment AT marwaahmed impactoffractionalderivativeonthermomechanicalinteractionsintwodimensionalskintissuesthroughouthyperthermiatreatment |