Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force
Casson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis for...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-10-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2020-0025 |
| _version_ | 1818690155167350784 |
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| author | Oke Abayomi S. Mutuku Winifred N. Kimathi Mark Animasaun Isaac L. |
| author_facet | Oke Abayomi S. Mutuku Winifred N. Kimathi Mark Animasaun Isaac L. |
| author_sort | Oke Abayomi S. |
| collection | DOAJ |
| description | Casson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. This report presents the significance of increasing not only the Coriolis force and reducing plastic dynamic viscosity, but also the Prandtl number and buoyancy forces on the motion of non-Newtonian Casson fluid over the rotating non-uniform surface. The relevant body forces are derived and incorporated into the Navier-Stokes equations to obtain appropriate equations for the flow of Newtonian Casson fluid under the action of Coriolis force. The governing equations are non-dimensionalized using Blasius similarity variables to reduce the nonlinear partial differential equations to nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations is solved using the Runge-Kutta-Gills method with the Shooting technique, and the results depicted graphically. An increase in Coriolis force and non-Newtonian parameter decreases the velocity profile in the x-direction, causes a dual effect on the shear stress, increases the temperature profiles, and increases the velocity profile in the z-direction. |
| first_indexed | 2024-12-17T12:21:30Z |
| format | Article |
| id | doaj.art-238cb0e704e847958ff772dd31b7037a |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-17T12:21:30Z |
| publishDate | 2020-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-238cb0e704e847958ff772dd31b7037a2022-12-21T21:48:56ZengDe GruyterNonlinear Engineering2192-80102192-80292020-10-019139841110.1515/nleng-2020-0025nleng-2020-0025Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis forceOke Abayomi S.0Mutuku Winifred N.1Kimathi Mark2Animasaun Isaac L.3Department of Mathematics and Actuarial Science, Kenyatta University, Kenyatta, KenyaDepartment of Mathematics and Actuarial Science, Kenyatta University, Kenyatta, KenyaDepartment of Mathematics and Actuarial Science, Machakos University, Kenyatta, KenyaDepartment of Mathematical Sciences, Federal University of Technology Akure, PMB, 704, NigeriaCasson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. This report presents the significance of increasing not only the Coriolis force and reducing plastic dynamic viscosity, but also the Prandtl number and buoyancy forces on the motion of non-Newtonian Casson fluid over the rotating non-uniform surface. The relevant body forces are derived and incorporated into the Navier-Stokes equations to obtain appropriate equations for the flow of Newtonian Casson fluid under the action of Coriolis force. The governing equations are non-dimensionalized using Blasius similarity variables to reduce the nonlinear partial differential equations to nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations is solved using the Runge-Kutta-Gills method with the Shooting technique, and the results depicted graphically. An increase in Coriolis force and non-Newtonian parameter decreases the velocity profile in the x-direction, causes a dual effect on the shear stress, increases the temperature profiles, and increases the velocity profile in the z-direction.https://doi.org/10.1515/nleng-2020-0025coriolis forcebuoyancy-induced flowcasson fluidrotating non-uniform surface |
| spellingShingle | Oke Abayomi S. Mutuku Winifred N. Kimathi Mark Animasaun Isaac L. Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force Nonlinear Engineering coriolis force buoyancy-induced flow casson fluid rotating non-uniform surface |
| title | Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force |
| title_full | Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force |
| title_fullStr | Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force |
| title_full_unstemmed | Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force |
| title_short | Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force |
| title_sort | insight into the dynamics of non newtonian casson fluid over a rotating non uniform surface subject to coriolis force |
| topic | coriolis force buoyancy-induced flow casson fluid rotating non-uniform surface |
| url | https://doi.org/10.1515/nleng-2020-0025 |
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