Unsteady free convection flow between two vertical parallel plates with Newtonian heating
Free convection flow in a boundary layer region is a motion that results from the interaction of gravity with density differences within a fluid. These differences occur due to temperature or concentration gradients or due to their composition. Studies per- taining free convection flows of incompres...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2019
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| Online Access: | http://eprints.utm.my/84848/1/SharidanShafie2019_UnsteadyFreeConvectionFlowbetweenTwo.pdf |
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| author | Zulkiflee, Fasihah Mohamad, Ahmad Qushairi Shafie, Sharidan Khan, Arshad |
| author_facet | Zulkiflee, Fasihah Mohamad, Ahmad Qushairi Shafie, Sharidan Khan, Arshad |
| author_sort | Zulkiflee, Fasihah |
| collection | ePrints |
| description | Free convection flow in a boundary layer region is a motion that results from the interaction of gravity with density differences within a fluid. These differences occur due to temperature or concentration gradients or due to their composition. Studies per- taining free convection flows of incompressible viscous fluids have received much attention in recent years both theoretically (exact or approximate solutions) and experimentally. The situation where the heat be transported to the convective fluid via a bounding sur- face having finite heat capacity is known as Newtonian heating (or conjugate convective flows). In this paper, the unsteady free convection flow of an incompressible viscous fluid between two parallel plates with Newtonian heating is studied. Appropriate non- dimensional variables are used to reduce the dimensional governing equations along with imposed initial and boundary conditions into dimensionless forms. The exact solutions for velocity and temperature are obtained using the Laplace transform technique. The corresponding expressions for skin friction and Nusselt number are also calculated. The graphical results are displayed to illustrate the influence of various embedded parameters such as Newtonian heating parameter and Grashof number. The results show that the effect of Newtonian heating parameter increases the Nusselt number but reduces the skin friction. |
| first_indexed | 2024-03-05T20:34:04Z |
| format | Article |
| id | utm.eprints-84848 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T20:34:04Z |
| publishDate | 2019 |
| publisher | Penerbit UTM Press |
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| spelling | utm.eprints-848482020-02-29T12:39:55Z http://eprints.utm.my/84848/ Unsteady free convection flow between two vertical parallel plates with Newtonian heating Zulkiflee, Fasihah Mohamad, Ahmad Qushairi Shafie, Sharidan Khan, Arshad QA Mathematics Free convection flow in a boundary layer region is a motion that results from the interaction of gravity with density differences within a fluid. These differences occur due to temperature or concentration gradients or due to their composition. Studies per- taining free convection flows of incompressible viscous fluids have received much attention in recent years both theoretically (exact or approximate solutions) and experimentally. The situation where the heat be transported to the convective fluid via a bounding sur- face having finite heat capacity is known as Newtonian heating (or conjugate convective flows). In this paper, the unsteady free convection flow of an incompressible viscous fluid between two parallel plates with Newtonian heating is studied. Appropriate non- dimensional variables are used to reduce the dimensional governing equations along with imposed initial and boundary conditions into dimensionless forms. The exact solutions for velocity and temperature are obtained using the Laplace transform technique. The corresponding expressions for skin friction and Nusselt number are also calculated. The graphical results are displayed to illustrate the influence of various embedded parameters such as Newtonian heating parameter and Grashof number. The results show that the effect of Newtonian heating parameter increases the Nusselt number but reduces the skin friction. Penerbit UTM Press 2019 Article PeerReviewed application/pdf en http://eprints.utm.my/84848/1/SharidanShafie2019_UnsteadyFreeConvectionFlowbetweenTwo.pdf Zulkiflee, Fasihah and Mohamad, Ahmad Qushairi and Shafie, Sharidan and Khan, Arshad (2019) Unsteady free convection flow between two vertical parallel plates with Newtonian heating. MATEMATIKA, 35 (Aug). pp. 117-127. ISSN 0127-9602 https://doi.org/10.11113/matematika.v35.n2.1104 DOI:10.11113/matematika.v35.n2.1104 |
| spellingShingle | QA Mathematics Zulkiflee, Fasihah Mohamad, Ahmad Qushairi Shafie, Sharidan Khan, Arshad Unsteady free convection flow between two vertical parallel plates with Newtonian heating |
| title | Unsteady free convection flow between two vertical parallel plates with Newtonian heating |
| title_full | Unsteady free convection flow between two vertical parallel plates with Newtonian heating |
| title_fullStr | Unsteady free convection flow between two vertical parallel plates with Newtonian heating |
| title_full_unstemmed | Unsteady free convection flow between two vertical parallel plates with Newtonian heating |
| title_short | Unsteady free convection flow between two vertical parallel plates with Newtonian heating |
| title_sort | unsteady free convection flow between two vertical parallel plates with newtonian heating |
| topic | QA Mathematics |
| url | http://eprints.utm.my/84848/1/SharidanShafie2019_UnsteadyFreeConvectionFlowbetweenTwo.pdf |
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