Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate
This research develops mathematical solutions for Casson fluid flow with free convective phenomena within channels with an accelerated plate. The study transforms the governing energy and momentum equations into the dimensionless form using appropriat...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Semarak Ilmu Publishing
2024
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/41467/1/Mathematical%20Solutions%20of%20Free%20Convection%20Flow%20of%20Casson%20Fluid%20in%20Channel%20with%20Accelerated%20Plate.pdf |
| _version_ | 1825815690416750592 |
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| author | Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Nurul Nabilah, Hassan Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie Vieru, Dumitru |
| author_facet | Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Nurul Nabilah, Hassan Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie Vieru, Dumitru |
| author_sort | Mohamad Riduan, Hashim |
| collection | UMP |
| description | This research develops mathematical solutions for Casson fluid flow with free convective phenomena within channels with an accelerated plate. The study transforms the governing energy and momentum equations into the dimensionless form using appropriate variables. The Laplace transformation is used to acquire analytical solutions. Dimensionless parameters, such as the Prandtl number, Grashof number, accelerated parameter, and Casson fluid parameter, are determined, which are further investigated for their impacts on the flow and thermal behaviour. Visual representations of the mathematical results for velocity andtemperature are presented using MATHCAD software through graphical plots. The study observes that fluid velocity increases with higher values of Gr but decreases with increased Pr. Additionally, temperature profiles exhibit a decrease with higher Prandtl numbers and an increase with time. The obtained results are validated by comparing them with published results in limiting cases, showing good agreement, and confirming the accuracy and reliability of the research outcomes. |
| first_indexed | 2024-09-25T03:50:04Z |
| format | Article |
| id | UMPir41467 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-09-25T03:50:04Z |
| publishDate | 2024 |
| publisher | Semarak Ilmu Publishing |
| record_format | dspace |
| spelling | UMPir414672024-06-10T01:35:37Z http://umpir.ump.edu.my/id/eprint/41467/ Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Nurul Nabilah, Hassan Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie Vieru, Dumitru QA Mathematics This research develops mathematical solutions for Casson fluid flow with free convective phenomena within channels with an accelerated plate. The study transforms the governing energy and momentum equations into the dimensionless form using appropriate variables. The Laplace transformation is used to acquire analytical solutions. Dimensionless parameters, such as the Prandtl number, Grashof number, accelerated parameter, and Casson fluid parameter, are determined, which are further investigated for their impacts on the flow and thermal behaviour. Visual representations of the mathematical results for velocity andtemperature are presented using MATHCAD software through graphical plots. The study observes that fluid velocity increases with higher values of Gr but decreases with increased Pr. Additionally, temperature profiles exhibit a decrease with higher Prandtl numbers and an increase with time. The obtained results are validated by comparing them with published results in limiting cases, showing good agreement, and confirming the accuracy and reliability of the research outcomes. Semarak Ilmu Publishing 2024-05-04 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/41467/1/Mathematical%20Solutions%20of%20Free%20Convection%20Flow%20of%20Casson%20Fluid%20in%20Channel%20with%20Accelerated%20Plate.pdf Mohamad Riduan, Hashim and Zulkhibri, Ismail and Ahmad Qushairi, Mohamad and Nurul Nabilah, Hassan and Wan Nura'in Nabilah, Noranuar and Lim, Yeou Jiann and Sharidan, Shafie and Vieru, Dumitru (2024) Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate. Journal of Advanced Research in Numerical Heat Transfer, 19 (1). pp. 60-75. ISSN 2735-0142. (Published) https://doi.org/10.37934/arnht.19.1.6075 https://doi.org/10.37934/arnht.19.1.6075 |
| spellingShingle | QA Mathematics Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Nurul Nabilah, Hassan Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie Vieru, Dumitru Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate |
| title | Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate |
| title_full | Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate |
| title_fullStr | Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate |
| title_full_unstemmed | Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate |
| title_short | Mathematical solutions of free convection flow of casson fluid in channel with accelerated plate |
| title_sort | mathematical solutions of free convection flow of casson fluid in channel with accelerated plate |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/41467/1/Mathematical%20Solutions%20of%20Free%20Convection%20Flow%20of%20Casson%20Fluid%20in%20Channel%20with%20Accelerated%20Plate.pdf |
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