Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect
Casson fluid is a non-Newtonian fluid with its unique fluid behaviour because it behaves like an elastic solid or liquid at a certain condition. Recently, there are several studies on unsteady Casson fluid flow through a cylindrical tube have been done by some researchers because it is related with...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Penerbit Akademia Baru
2021
|
| Subjects: |
| _version_ | 1796865891791536128 |
|---|---|
| author | Wan Azmi, Wan Faezah Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan |
| author_facet | Wan Azmi, Wan Faezah Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan |
| author_sort | Wan Azmi, Wan Faezah |
| collection | ePrints |
| description | Casson fluid is a non-Newtonian fluid with its unique fluid behaviour because it behaves like an elastic solid or liquid at a certain condition. Recently, there are several studies on unsteady Casson fluid flow through a cylindrical tube have been done by some researchers because it is related with the real-life applications such as blood flow in vessel tube, chemical and oil flow in pipelines and others. Therefore, the main purpose of the present study is to obtain analytical solutions for unsteady flow of Casson fluid pass through a cylinder with slip velocity effect at the boundary condition. Dimensional governing equations are converted into dimensionless forms by using the appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid parameters. Then, the dimensionless equations of velocity with the associated initial and boundary conditions are solved by using Laplace transform with respect to time variable and finite Hankel transform of zero order with respect to the radial coordinate. Analytical solutions of velocity profile are obtained. The obtained analytical result for velocity is plotted graphically by using Maple software. Based on the obtained result, it can be observed that increasing in Casson parameter, time and slip velocity will lead to increment in fluid velocity. Lastly, Newtonian fluid velocity is uniform from the boundary to the center of cylinder while Casson fluid velocity is decreased when approaching to the center of cylinder. The present result is validated when the obtained analytical solution of velocity is compared with published result and found in a good agreement. |
| first_indexed | 2024-03-05T21:03:59Z |
| format | Article |
| id | utm.eprints-94787 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T21:03:59Z |
| publishDate | 2021 |
| publisher | Penerbit Akademia Baru |
| record_format | dspace |
| spelling | utm.eprints-947872022-04-29T22:26:52Z http://eprints.utm.my/94787/ Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect Wan Azmi, Wan Faezah Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan QA Mathematics Casson fluid is a non-Newtonian fluid with its unique fluid behaviour because it behaves like an elastic solid or liquid at a certain condition. Recently, there are several studies on unsteady Casson fluid flow through a cylindrical tube have been done by some researchers because it is related with the real-life applications such as blood flow in vessel tube, chemical and oil flow in pipelines and others. Therefore, the main purpose of the present study is to obtain analytical solutions for unsteady flow of Casson fluid pass through a cylinder with slip velocity effect at the boundary condition. Dimensional governing equations are converted into dimensionless forms by using the appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid parameters. Then, the dimensionless equations of velocity with the associated initial and boundary conditions are solved by using Laplace transform with respect to time variable and finite Hankel transform of zero order with respect to the radial coordinate. Analytical solutions of velocity profile are obtained. The obtained analytical result for velocity is plotted graphically by using Maple software. Based on the obtained result, it can be observed that increasing in Casson parameter, time and slip velocity will lead to increment in fluid velocity. Lastly, Newtonian fluid velocity is uniform from the boundary to the center of cylinder while Casson fluid velocity is decreased when approaching to the center of cylinder. The present result is validated when the obtained analytical solution of velocity is compared with published result and found in a good agreement. Penerbit Akademia Baru 2021-11 Article PeerReviewed Wan Azmi, Wan Faezah and Mohamad, Ahmad Qushairi and Lim, Yeou Jiann and Shafie, Sharidan (2021) Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 87 (1). pp. 68-75. ISSN 2289-7879 http://dx.doi.org/10.37934/arfmts.87.1.6875 DOI:10.37934/arfmts.87.1.6875 |
| spellingShingle | QA Mathematics Wan Azmi, Wan Faezah Mohamad, Ahmad Qushairi Lim, Yeou Jiann Shafie, Sharidan Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect |
| title | Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect |
| title_full | Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect |
| title_fullStr | Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect |
| title_full_unstemmed | Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect |
| title_short | Analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect |
| title_sort | analytical solution of unsteady casson fluid flow through a vertical cylinder with slip velocity effect |
| topic | QA Mathematics |
| work_keys_str_mv | AT wanazmiwanfaezah analyticalsolutionofunsteadycassonfluidflowthroughaverticalcylinderwithslipvelocityeffect AT mohamadahmadqushairi analyticalsolutionofunsteadycassonfluidflowthroughaverticalcylinderwithslipvelocityeffect AT limyeoujiann analyticalsolutionofunsteadycassonfluidflowthroughaverticalcylinderwithslipvelocityeffect AT shafiesharidan analyticalsolutionofunsteadycassonfluidflowthroughaverticalcylinderwithslipvelocityeffect |