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Journal of Applied Mechanics | Volume 76 | Issue 1 | Technical Brief
Technical Briefs

Unsteady Free-Convection Flow on a Vertical Oscillating Porous Plate With Constant Heating

[+] Author and Article Information
C. J. Toki

Department of Ecology and Environment, Technological Educational Institute of Ionian Islands, Square of Kalvou, 29100, Zakynthos, Greecechristina_toki@yahoo.com

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Corresponding author. Permanent address: Pediou Volis 32, Stavraki, 453 22, Ioannina, Greece.

J. Appl. Mech 76(1), 014503 (Oct 31, 2008) (4 pages) doi:10.1115/1.2998758 History: Received November 23, 2007; Revised July 16, 2008; Published October 31, 2008
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In this paper, we consider the unsteady free-convection flows of a viscous and incompressible fluid near an oscillating porous infinite vertical plate (or wall) during the heating of the plate. The governing equations are solved in closed form by the Laplace transform technique, when the Prandtl number (Pr) of the fluid is arbitrary and the suction (or injection) is constant. This solution is applied for a special case of the constant heating effects from the harmonically oscillating plate. The resulting velocity and temperature are shown graphically and are also discussed for the case of air (Pr=0.71) or water (Pr=7.0) flows.
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Copyright © 2009 by American Society of Mechanical Engineers
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Grahic Jump Location
+Velocity profiles for the case of the air flows near the single heating (G<0) or cooling (G>0) porous vertical plate, which oscillates harmonically
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Velocity profiles for the case of the air flows near the single heating (G<0) or cooling (G>0) porous vertical plate, which oscillates harmonically
Figure 1

Velocity profiles for the case of the air flows near the single heating (G<0) or cooling (G>0) porous vertical plate, which oscillates harmonically

Grahic Jump Location
+Temperature profiles for the case of the air flows (Pr=0.71) and water flows (Pr=7) near the single heating porous vertical plate, which oscillates harmonically
View Large  |  Save Figure  |  Download Slide (.ppt)
Temperature profiles for the case of the air flows (Pr=0.71) and water flows (Pr=7) near the single heating porous vertical plate, which oscillates harmonically
Figure 2

Temperature profiles for the case of the air flows (Pr=0.71) and water flows (Pr=7) near the single heating porous vertical plate, which oscillates harmonically

Grahic Jump Location
+Velocity profiles of the flow near the single cooling (G>0) porous vertical oscillating plate for varying Prandtl numbers (Pr)
View Large  |  Save Figure  |  Download Slide (.ppt)
Velocity profiles of the flow near the single cooling (G>0) porous vertical oscillating plate for varying Prandtl numbers (Pr)
Figure 3

Velocity profiles of the flow near the single cooling (G>0) porous vertical oscillating plate for varying Prandtl numbers (Pr)

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