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Unsteady free convection flow between two vertical parallel plates with Newtonian heating

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


Official URL: https://doi.org/10.11113/matematika.v35.n2.1104


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.

Item Type:Article
Uncontrolled Keywords:free convection, vertical parallel plate, newtonian heating, laplace trans- form
Subjects:Q Science > QA Mathematics
ID Code:84848
Deposited By: Fazli Masari
Deposited On:29 Feb 2020 12:39
Last Modified:29 Feb 2020 12:39

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