Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution
This article investigates the unsteady free convection flow of a micropolar fluid over a vertical plate oscillating in its own plane with Newtonian Heating (NH) condition. The problem is modeled in terms of partial differential equations with some physical conditions. Closed form solutions in terms...
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| Format: | Article |
| Language: | English |
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VINČA Institute of Nuclear Sciences
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/10525/1/Unsteady%20Free%20Convection%20Flow%20Of%20A%20Micropolar%20Fluid%20With%20Newtonian%20Heating-%20Closed%20Form%20Solution.pdf |
| _version_ | 1796990810878640128 |
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| author | Hussanan, Abid Mohd Zuki, Salleh Khan, Ilyas Razman, Mat Tahar |
| author_facet | Hussanan, Abid Mohd Zuki, Salleh Khan, Ilyas Razman, Mat Tahar |
| author_sort | Hussanan, Abid |
| collection | UMP |
| description | This article investigates the unsteady free convection flow of a micropolar fluid over a vertical plate oscillating in its own plane with Newtonian Heating (NH) condition. The problem is modeled in terms of partial differential equations with some physical conditions. Closed form solutions in terms of exponential and complementary error functions of Gauss are obtained by using the Laplace transform technique. They satisfy the governing equations and impose boundary and initial conditions. The present solution in the absence of microrotaion reduce to well-known solutions of Newtonian fluid. Graphs are plotted to study the effects of various physical parameters on velocity and microrotation. Numerical results for skin-friction and wall couple stress are computed in tables. Apart from the engineering point of view, the present article has strong advantage over the published literature as the exact solutions obtained here can be used as a benchmark for comparison with numerical/approximate solutions and experimental data. |
| first_indexed | 2024-03-06T11:57:05Z |
| format | Article |
| id | UMPir10525 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T11:57:05Z |
| publishDate | 2017 |
| publisher | VINČA Institute of Nuclear Sciences |
| record_format | dspace |
| spelling | UMPir105252018-02-12T07:48:55Z http://umpir.ump.edu.my/id/eprint/10525/ Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution Hussanan, Abid Mohd Zuki, Salleh Khan, Ilyas Razman, Mat Tahar Q Science (General) This article investigates the unsteady free convection flow of a micropolar fluid over a vertical plate oscillating in its own plane with Newtonian Heating (NH) condition. The problem is modeled in terms of partial differential equations with some physical conditions. Closed form solutions in terms of exponential and complementary error functions of Gauss are obtained by using the Laplace transform technique. They satisfy the governing equations and impose boundary and initial conditions. The present solution in the absence of microrotaion reduce to well-known solutions of Newtonian fluid. Graphs are plotted to study the effects of various physical parameters on velocity and microrotation. Numerical results for skin-friction and wall couple stress are computed in tables. Apart from the engineering point of view, the present article has strong advantage over the published literature as the exact solutions obtained here can be used as a benchmark for comparison with numerical/approximate solutions and experimental data. VINČA Institute of Nuclear Sciences 2017 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/10525/1/Unsteady%20Free%20Convection%20Flow%20Of%20A%20Micropolar%20Fluid%20With%20Newtonian%20Heating-%20Closed%20Form%20Solution.pdf Hussanan, Abid and Mohd Zuki, Salleh and Khan, Ilyas and Razman, Mat Tahar (2017) Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution. Thermal Science, 21 (6 Part A). pp. 2313-2326. ISSN 2334-7163. (Published) https://doi.org/10.2298/TSCI150221125H DOI: 10.2298/TSCI150221125H |
| spellingShingle | Q Science (General) Hussanan, Abid Mohd Zuki, Salleh Khan, Ilyas Razman, Mat Tahar Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution |
| title | Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution |
| title_full | Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution |
| title_fullStr | Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution |
| title_full_unstemmed | Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution |
| title_short | Unsteady Free Convection Flow of a Micropolar Fluid With Newtonian Heating: Closed Form Solution |
| title_sort | unsteady free convection flow of a micropolar fluid with newtonian heating closed form solution |
| topic | Q Science (General) |
| url | http://umpir.ump.edu.my/id/eprint/10525/1/Unsteady%20Free%20Convection%20Flow%20Of%20A%20Micropolar%20Fluid%20With%20Newtonian%20Heating-%20Closed%20Form%20Solution.pdf |
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