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)
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Mathematical Solutions of Free Convection Flow of Casson Fluid in Channel with Accelerated Plate.pdf Available under License Creative Commons Attribution Non-commercial. Download (3MB) | Preview |
Abstract
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.
| Item Type: | Article |
|---|---|
| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | Free convection flow, Casson fluid, accelarated plate, Laplace Transform, Prandtl number, Grashof number |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science Institute of Postgraduate Studies |
| Depositing User: | Dr. Zulkhibri Ismail@Mustofa |
| Date Deposited: | 10 Jun 2024 01:35 |
| Last Modified: | 10 Jun 2024 01:35 |
| URI: | http://umpir.ump.edu.my/id/eprint/41467 |
| Download Statistic: | View Download Statistics |
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