Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate
The main purpose of this research is to formulate the mathematical models and solution for the effect of accelerated plate on free convection flow in Brinkman type fluid through two vertical channels. Using the appropriate dimensionless variables, the dimensional governing energy...
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| Format: | Article |
| Language: | English |
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Semarak Ilmu Publishing
2024
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| Online Access: | http://umpir.ump.edu.my/id/eprint/41509/1/Mathematical%20Solution%20for%20Free%20Convection%20Flow%20of%20Brinkman%20Type%20Fluid%20in%20the%20Channel%20with%20the%20Effect%20of%20Accelerated%20Plate.pdf |
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| author | Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Muhammad Atif, Akashah Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie |
| author_facet | Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Muhammad Atif, Akashah Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie |
| author_sort | Mohamad Riduan, Hashim |
| collection | UMP |
| description | The main purpose of this research is to formulate the mathematical models and solution for the effect of accelerated plate on free convection flow in Brinkman type fluid through two vertical channels. Using the appropriate dimensionless variables, the dimensional governing energy and momentum equations are reduced to dimensionless equations subjected to the associated initial boundary conditions. The analytical solutions are obtained by using Laplace transform method. Dimensionless parameters are obtained through dimensionless processes such as Grashof number Gr, Acceleration plate parameter, R, Prandtl number Pr, Brinkman type fluid parameter B1 and time, t. The mathematical findings for velocity and temperature are graphically plotted to investigate the influence of dimensionless variables on profiles. It is observed that fluid velocity increases with increasing of Gr and t whereas it decreases with increasing of B1, R and Pr. Besides that, it is found that temperature profiles decrease with a high value of Prandtl number, Pr while increase with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and also with numerical Gaver-Stehfest algorithm. Both comparisons show that the solution is to be in a mutual agreement |
| first_indexed | 2024-09-25T03:50:11Z |
| format | Article |
| id | UMPir41509 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-09-25T03:50:11Z |
| publishDate | 2024 |
| publisher | Semarak Ilmu Publishing |
| record_format | dspace |
| spelling | UMPir415092024-06-10T02:11:11Z http://umpir.ump.edu.my/id/eprint/41509/ Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Muhammad Atif, Akashah Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie QA Mathematics The main purpose of this research is to formulate the mathematical models and solution for the effect of accelerated plate on free convection flow in Brinkman type fluid through two vertical channels. Using the appropriate dimensionless variables, the dimensional governing energy and momentum equations are reduced to dimensionless equations subjected to the associated initial boundary conditions. The analytical solutions are obtained by using Laplace transform method. Dimensionless parameters are obtained through dimensionless processes such as Grashof number Gr, Acceleration plate parameter, R, Prandtl number Pr, Brinkman type fluid parameter B1 and time, t. The mathematical findings for velocity and temperature are graphically plotted to investigate the influence of dimensionless variables on profiles. It is observed that fluid velocity increases with increasing of Gr and t whereas it decreases with increasing of B1, R and Pr. Besides that, it is found that temperature profiles decrease with a high value of Prandtl number, Pr while increase with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and also with numerical Gaver-Stehfest algorithm. Both comparisons show that the solution is to be in a mutual agreement Semarak Ilmu Publishing 2024-01-12 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/41509/1/Mathematical%20Solution%20for%20Free%20Convection%20Flow%20of%20Brinkman%20Type%20Fluid%20in%20the%20Channel%20with%20the%20Effect%20of%20Accelerated%20Plate.pdf Mohamad Riduan, Hashim and Zulkhibri, Ismail and Ahmad Qushairi, Mohamad and Muhammad Atif, Akashah and Wan Nura'in Nabilah, Noranuar and Lim, Yeou Jiann and Sharidan, Shafie (2024) Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate. Journal of Advanced Research in Numerical Heat Transfer, 15 (1). pp. 53-68. ISSN 2735-0142. (In Press / Online First) (In Press / Online First) https://doi.org/10.37934/arnht.15.1.5368 https://doi.org/10.37934/arnht.15.1.5368 |
| spellingShingle | QA Mathematics Mohamad Riduan, Hashim Zulkhibri, Ismail Ahmad Qushairi, Mohamad Muhammad Atif, Akashah Wan Nura'in Nabilah, Noranuar Lim, Yeou Jiann Sharidan, Shafie Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate |
| title | Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate |
| title_full | Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate |
| title_fullStr | Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate |
| title_full_unstemmed | Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate |
| title_short | Mathematical solution for free convection flow of Brinkman type fluid in the channel with the effect of accelerated plate |
| title_sort | mathematical solution for free convection flow of brinkman type fluid in the channel with the effect of accelerated plate |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/41509/1/Mathematical%20Solution%20for%20Free%20Convection%20Flow%20of%20Brinkman%20Type%20Fluid%20in%20the%20Channel%20with%20the%20Effect%20of%20Accelerated%20Plate.pdf |
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