Exact solution of fractional convective casson fluid through an accelerated plate
Fractional derivative has perfectly adopted to model few physical phenomena such as viscoelasticity of coiling polymers, traffic construction, fluid dynamics and electrical networks. However, the application of the fractional derivatives for describing the physical characteristics of non-Newtonian f...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit Akademia Baru
2021
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/31995/1/Exact%20solution%20of%20fractional%20convective%20casson%20fluid.pdf |
| _version_ | 1825813964449120256 |
|---|---|
| author | Muhammad Nazirul, Shahrim Ahmad Qushairi, Mohamad Lim, Yeou Jiann Muhamad Najib, Zakaria Sharidan, Shafie Zulkhibri, Ismail Abdul Rahman, Mohd Kasim |
| author_facet | Muhammad Nazirul, Shahrim Ahmad Qushairi, Mohamad Lim, Yeou Jiann Muhamad Najib, Zakaria Sharidan, Shafie Zulkhibri, Ismail Abdul Rahman, Mohd Kasim |
| author_sort | Muhammad Nazirul, Shahrim |
| collection | UMP |
| description | Fractional derivative has perfectly adopted to model few physical phenomena such as viscoelasticity of coiling polymers, traffic construction, fluid dynamics and electrical networks. However, the application of the fractional derivatives for describing the physical characteristics of non-Newtonian fluid over a moving plate is still rare. In the present study, the effect of the Caputo fractional derivative on the Casson fluid flow which is induced by an accelerated plate is analytically analysed. The governing equations are initially transformed into dimensionless expressions by using suitable dimensionless variables. Then the Laplace transform method is utilized to calculate the exact solutions for the fractional governing partial differential equations. The obtained solutions are validated by comparing the results for specific case with the existing solutions in the literature. The impact of fractional parameter, Prandtl number, and time on the velocity and temperature profiles are graphically showed and discussed. The results depict that the temperature and velocity increase with the increment of fractional parameter and time. Interestingly, the velocity decreases at region near the plate but is enhanced at the area far away from the plate when the Casson fluid parameter is increased. This study is essential in understanding the factional non-Newtonian fluid flows which is more realistic in nature. |
| first_indexed | 2024-03-06T12:51:47Z |
| format | Article |
| id | UMPir31995 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:51:47Z |
| publishDate | 2021 |
| publisher | Penerbit Akademia Baru |
| record_format | dspace |
| spelling | UMPir319952021-10-13T08:38:40Z http://umpir.ump.edu.my/id/eprint/31995/ Exact solution of fractional convective casson fluid through an accelerated plate Muhammad Nazirul, Shahrim Ahmad Qushairi, Mohamad Lim, Yeou Jiann Muhamad Najib, Zakaria Sharidan, Shafie Zulkhibri, Ismail Abdul Rahman, Mohd Kasim QA Mathematics Fractional derivative has perfectly adopted to model few physical phenomena such as viscoelasticity of coiling polymers, traffic construction, fluid dynamics and electrical networks. However, the application of the fractional derivatives for describing the physical characteristics of non-Newtonian fluid over a moving plate is still rare. In the present study, the effect of the Caputo fractional derivative on the Casson fluid flow which is induced by an accelerated plate is analytically analysed. The governing equations are initially transformed into dimensionless expressions by using suitable dimensionless variables. Then the Laplace transform method is utilized to calculate the exact solutions for the fractional governing partial differential equations. The obtained solutions are validated by comparing the results for specific case with the existing solutions in the literature. The impact of fractional parameter, Prandtl number, and time on the velocity and temperature profiles are graphically showed and discussed. The results depict that the temperature and velocity increase with the increment of fractional parameter and time. Interestingly, the velocity decreases at region near the plate but is enhanced at the area far away from the plate when the Casson fluid parameter is increased. This study is essential in understanding the factional non-Newtonian fluid flows which is more realistic in nature. Penerbit Akademia Baru 2021-06-13 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/31995/1/Exact%20solution%20of%20fractional%20convective%20casson%20fluid.pdf Muhammad Nazirul, Shahrim and Ahmad Qushairi, Mohamad and Lim, Yeou Jiann and Muhamad Najib, Zakaria and Sharidan, Shafie and Zulkhibri, Ismail and Abdul Rahman, Mohd Kasim (2021) Exact solution of fractional convective casson fluid through an accelerated plate. CFD Letters, 13 (6). 15 -25. ISSN 2180-1363. (Published) https://doi.org/10.37934/cfdl.13.6.1525 https://doi.org/10.37934/cfdl.13.6.1525 |
| spellingShingle | QA Mathematics Muhammad Nazirul, Shahrim Ahmad Qushairi, Mohamad Lim, Yeou Jiann Muhamad Najib, Zakaria Sharidan, Shafie Zulkhibri, Ismail Abdul Rahman, Mohd Kasim Exact solution of fractional convective casson fluid through an accelerated plate |
| title | Exact solution of fractional convective casson fluid through an accelerated plate |
| title_full | Exact solution of fractional convective casson fluid through an accelerated plate |
| title_fullStr | Exact solution of fractional convective casson fluid through an accelerated plate |
| title_full_unstemmed | Exact solution of fractional convective casson fluid through an accelerated plate |
| title_short | Exact solution of fractional convective casson fluid through an accelerated plate |
| title_sort | exact solution of fractional convective casson fluid through an accelerated plate |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/31995/1/Exact%20solution%20of%20fractional%20convective%20casson%20fluid.pdf |
| work_keys_str_mv | AT muhammadnazirulshahrim exactsolutionoffractionalconvectivecassonfluidthroughanacceleratedplate AT ahmadqushairimohamad exactsolutionoffractionalconvectivecassonfluidthroughanacceleratedplate AT limyeoujiann exactsolutionoffractionalconvectivecassonfluidthroughanacceleratedplate AT muhamadnajibzakaria exactsolutionoffractionalconvectivecassonfluidthroughanacceleratedplate AT sharidanshafie exactsolutionoffractionalconvectivecassonfluidthroughanacceleratedplate AT zulkhibriismail exactsolutionoffractionalconvectivecassonfluidthroughanacceleratedplate AT abdulrahmanmohdkasim exactsolutionoffractionalconvectivecassonfluidthroughanacceleratedplate |