Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized artery
The effect of a catheter on blood flow and heat transfer characteristics of a Carreau fluid model is investigated mathematically using the perturbation method involving appropriate small parameters. Physically, this study relates to the surgical technique when a catheter is injected eccentrically in...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-01-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821003914 |
| _version_ | 1818655531532812288 |
|---|---|
| author | Reima D. Alsemiry Hamed M. Sayed Norsarahaida Amin |
| author_facet | Reima D. Alsemiry Hamed M. Sayed Norsarahaida Amin |
| author_sort | Reima D. Alsemiry |
| collection | DOAJ |
| description | The effect of a catheter on blood flow and heat transfer characteristics of a Carreau fluid model is investigated mathematically using the perturbation method involving appropriate small parameters. Physically, this study relates to the surgical technique when a catheter is injected eccentrically into an artery. The model describes fluid flowing in the gap between eccentric tubes where the inner tube is uniform and rigid representing the moving catheter while the other tube represents an artery with overlapping stenosis. A complete perturbation solution up to the first order is presented whereby a validation exercise carried out shows that previously published solutions involving Newtonian fluids may have some typographical errors. The present results obtained show that the axial velocity, wall shear stress, and temperature in the case of the eccentric catheter are higher than that of the concentric catheter. The average Nusselt number is enhanced with increasing catheter radius and the velocity of the catheter while it decreases with increased Weissenberg number, Prandtl number, and Eckert number. These results agree with physiological observations that the risks and complications associated with catheterization are alleviated when the eccentric position of the catheter is considered. |
| first_indexed | 2024-12-17T03:11:10Z |
| format | Article |
| id | doaj.art-4d549a292e6d4820932d238546c7fb99 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-17T03:11:10Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-4d549a292e6d4820932d238546c7fb992022-12-21T22:05:50ZengElsevierAlexandria Engineering Journal1110-01682022-01-01611523539Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized arteryReima D. Alsemiry0Hamed M. Sayed1Norsarahaida Amin2Department of Mathematics, Faculty of Science, Taibah University, P.O. Box 89, Yanbu 41911, Saudi Arabia; Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaDepartment of Mathematics, Faculty of Science, Taibah University, P.O. Box 89, Yanbu 41911, Saudi Arabia; Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11757, Cairo, EgyptDepartment of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia; Department of Mathematics, Fakultas Sains dan Teknologi, Universitas Airlangga, Surabaya 60115, Indonesia; Corresponding author.The effect of a catheter on blood flow and heat transfer characteristics of a Carreau fluid model is investigated mathematically using the perturbation method involving appropriate small parameters. Physically, this study relates to the surgical technique when a catheter is injected eccentrically into an artery. The model describes fluid flowing in the gap between eccentric tubes where the inner tube is uniform and rigid representing the moving catheter while the other tube represents an artery with overlapping stenosis. A complete perturbation solution up to the first order is presented whereby a validation exercise carried out shows that previously published solutions involving Newtonian fluids may have some typographical errors. The present results obtained show that the axial velocity, wall shear stress, and temperature in the case of the eccentric catheter are higher than that of the concentric catheter. The average Nusselt number is enhanced with increasing catheter radius and the velocity of the catheter while it decreases with increased Weissenberg number, Prandtl number, and Eckert number. These results agree with physiological observations that the risks and complications associated with catheterization are alleviated when the eccentric position of the catheter is considered.http://www.sciencedirect.com/science/article/pii/S1110016821003914Eccentric cylindersHeat transferStenosisCarreau fluidCatheterized artery |
| spellingShingle | Reima D. Alsemiry Hamed M. Sayed Norsarahaida Amin Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized artery Alexandria Engineering Journal Eccentric cylinders Heat transfer Stenosis Carreau fluid Catheterized artery |
| title | Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized artery |
| title_full | Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized artery |
| title_fullStr | Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized artery |
| title_full_unstemmed | Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized artery |
| title_short | Mathematical analysis of Carreau fluid flow and heat transfer within an eccentric catheterized artery |
| title_sort | mathematical analysis of carreau fluid flow and heat transfer within an eccentric catheterized artery |
| topic | Eccentric cylinders Heat transfer Stenosis Carreau fluid Catheterized artery |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821003914 |
| work_keys_str_mv | AT reimadalsemiry mathematicalanalysisofcarreaufluidflowandheattransferwithinaneccentriccatheterizedartery AT hamedmsayed mathematicalanalysisofcarreaufluidflowandheattransferwithinaneccentriccatheterizedartery AT norsarahaidaamin mathematicalanalysisofcarreaufluidflowandheattransferwithinaneccentriccatheterizedartery |