Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration
The present paper analyzes an unsteady magnetohydrodynamic blood flow model of an visco-elastic fluid through an inclined porous stenosed artery with body acceleration and slip effect. Navier-Stokes equations have been used to describe the blood flow model. The governing equation of blood flow is so...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2022-12-01
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| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Visco-Elastic-Fluid-Model-in-an-Inclined-Porous-Stenosed-Artery-with-Slip-Effect,166641,0,2.html |
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| author | Rana Manisha Surendra Kumar |
| author_facet | Rana Manisha Surendra Kumar |
| author_sort | Rana Manisha |
| collection | DOAJ |
| description | The present paper analyzes an unsteady magnetohydrodynamic blood flow model of an visco-elastic fluid through an inclined porous stenosed artery with body acceleration and slip effect. Navier-Stokes equations have been used to describe the blood flow model. The governing equation of blood flow is solved by an analytic method by considering blood as an incompressible, visco-elastic fluid, and suspension of RBC’s in plasma. Axial velocity, blood acceleration, flow rate, and shear stress are derived numerically by using the finite Laplace and Hankel transformation and their inverse. The effect of parameters such as the visco-elasticity parameter, Womersley number, Hartmann number, inclination angle, parameter of slip, and body acceleration frequency is analyzed. Axial velocity reduces as the Hartmann number and visco-elasticity parameter enhance and it enhances with the enhancement of the slip parameter and inclination angle. The study is beneficial for finding the effect of slip parameter, porosity factor and Hartmann number when a human body is exposed to MRI and CT scan. |
| first_indexed | 2024-03-12T16:33:52Z |
| format | Article |
| id | doaj.art-ceb13893842e4d0aaa70ed75872c6ba2 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:33:52Z |
| publishDate | 2022-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-ceb13893842e4d0aaa70ed75872c6ba22023-08-08T15:05:01ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032022-12-012748210410.2478/ijame-2022-0052166641Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body AccelerationRana Manisha0Surendra Kumar1University Institute of Engineering and Technology, Maharshi Dayanand University, Haryana, IndiaUniversity Institute of Engineering and Technology, Maharshi Dayanand University, Haryana, IndiaThe present paper analyzes an unsteady magnetohydrodynamic blood flow model of an visco-elastic fluid through an inclined porous stenosed artery with body acceleration and slip effect. Navier-Stokes equations have been used to describe the blood flow model. The governing equation of blood flow is solved by an analytic method by considering blood as an incompressible, visco-elastic fluid, and suspension of RBC’s in plasma. Axial velocity, blood acceleration, flow rate, and shear stress are derived numerically by using the finite Laplace and Hankel transformation and their inverse. The effect of parameters such as the visco-elasticity parameter, Womersley number, Hartmann number, inclination angle, parameter of slip, and body acceleration frequency is analyzed. Axial velocity reduces as the Hartmann number and visco-elasticity parameter enhance and it enhances with the enhancement of the slip parameter and inclination angle. The study is beneficial for finding the effect of slip parameter, porosity factor and Hartmann number when a human body is exposed to MRI and CT scan.https://www.ijame-poland.com/Visco-Elastic-Fluid-Model-in-an-Inclined-Porous-Stenosed-Artery-with-Slip-Effect,166641,0,2.htmlvisco-elastic fluidslip conditioninclined porous arterypermeabilitybody acceleration |
| spellingShingle | Rana Manisha Surendra Kumar Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration International Journal of Applied Mechanics and Engineering visco-elastic fluid slip condition inclined porous artery permeability body acceleration |
| title | Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration |
| title_full | Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration |
| title_fullStr | Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration |
| title_full_unstemmed | Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration |
| title_short | Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration |
| title_sort | visco elastic fluid model in an inclined porous stenosed artery with slip effect and body acceleration |
| topic | visco-elastic fluid slip condition inclined porous artery permeability body acceleration |
| url | https://www.ijame-poland.com/Visco-Elastic-Fluid-Model-in-an-Inclined-Porous-Stenosed-Artery-with-Slip-Effect,166641,0,2.html |
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