Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection
Abstract The current study investigates the combined response of the Darcy–Brinkman–Forchheimer and nonlinear thermal convection influence among other fluid parameters on Casson rheology (blood) flow through an inclined tapered stenosed artery with magnetic effect. Considering the remarkable importa...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-12-01
|
| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s42787-022-00157-8 |
| _version_ | 1797977288548024320 |
|---|---|
| author | J. U. Abubakar Q. A. Omolesho K. A. Bello A. M. Basambo |
| author_facet | J. U. Abubakar Q. A. Omolesho K. A. Bello A. M. Basambo |
| author_sort | J. U. Abubakar |
| collection | DOAJ |
| description | Abstract The current study investigates the combined response of the Darcy–Brinkman–Forchheimer and nonlinear thermal convection influence among other fluid parameters on Casson rheology (blood) flow through an inclined tapered stenosed artery with magnetic effect. Considering the remarkable importance of mathematical models to the physical behavior of fluid flow in human systems for scientific, biological, and industrial use, the present model predicts the motion and heat transfer of blood flow through tapered stenosed arteries under some underline conditions. The momentum and energy equations for the model were obtained and solved using the collocation method with the Legendre polynomial basis function. The expressions obtained for the velocity and temperature were graphed to show the effects of the Darcy–Brinkman–Forchheimer term, Casson parameters, and nonlinear thermal convection term among others. The results identified that a higher Darcy–Brinkman number slows down the blood temperature, while continuous injection of the Casson number decreases both velocity and temperature distribution. |
| first_indexed | 2024-04-11T05:04:29Z |
| format | Article |
| id | doaj.art-b3ae50e28ea14855b56ab0085056ea77 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-04-11T05:04:29Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-b3ae50e28ea14855b56ab0085056ea772022-12-25T12:30:42ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282022-12-0130111210.1186/s42787-022-00157-8Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convectionJ. U. Abubakar0Q. A. Omolesho1K. A. Bello2A. M. Basambo3Department of Mathematics, University of IlorinDepartment of Mathematics, University of IlorinDepartment of Mathematics, University of IlorinDepartment of Mathematics, University of IlorinAbstract The current study investigates the combined response of the Darcy–Brinkman–Forchheimer and nonlinear thermal convection influence among other fluid parameters on Casson rheology (blood) flow through an inclined tapered stenosed artery with magnetic effect. Considering the remarkable importance of mathematical models to the physical behavior of fluid flow in human systems for scientific, biological, and industrial use, the present model predicts the motion and heat transfer of blood flow through tapered stenosed arteries under some underline conditions. The momentum and energy equations for the model were obtained and solved using the collocation method with the Legendre polynomial basis function. The expressions obtained for the velocity and temperature were graphed to show the effects of the Darcy–Brinkman–Forchheimer term, Casson parameters, and nonlinear thermal convection term among others. The results identified that a higher Darcy–Brinkman number slows down the blood temperature, while continuous injection of the Casson number decreases both velocity and temperature distribution.https://doi.org/10.1186/s42787-022-00157-8Casson fluidInclined stenosed arteryMagnetohdyrodyanamics (MHD) fluidCollocation methodDarcy–Brinkman–Forchheimer |
| spellingShingle | J. U. Abubakar Q. A. Omolesho K. A. Bello A. M. Basambo Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection Journal of the Egyptian Mathematical Society Casson fluid Inclined stenosed artery Magnetohdyrodyanamics (MHD) fluid Collocation method Darcy–Brinkman–Forchheimer |
| title | Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection |
| title_full | Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection |
| title_fullStr | Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection |
| title_full_unstemmed | Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection |
| title_short | Casson rheological flow model in an inclined stenosed artery with non-Darcian porous medium and quadratic thermal convection |
| title_sort | casson rheological flow model in an inclined stenosed artery with non darcian porous medium and quadratic thermal convection |
| topic | Casson fluid Inclined stenosed artery Magnetohdyrodyanamics (MHD) fluid Collocation method Darcy–Brinkman–Forchheimer |
| url | https://doi.org/10.1186/s42787-022-00157-8 |
| work_keys_str_mv | AT juabubakar cassonrheologicalflowmodelinaninclinedstenosedarterywithnondarcianporousmediumandquadraticthermalconvection AT qaomolesho cassonrheologicalflowmodelinaninclinedstenosedarterywithnondarcianporousmediumandquadraticthermalconvection AT kabello cassonrheologicalflowmodelinaninclinedstenosedarterywithnondarcianporousmediumandquadraticthermalconvection AT ambasambo cassonrheologicalflowmodelinaninclinedstenosedarterywithnondarcianporousmediumandquadraticthermalconvection |