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Heat Transfer Research
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ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2015007464
pages 713-724

SLIP EFFECT ON FREE CONVECTION FLOW OF SECOND GRADE FLUIDS WITH RAMPED WALL TEMPERATURE

Dumitru Vieru
Department of Theoretical Mechanics, Technical University of Iasi 700050, Romania
M. A. Imran
Department of Mathematics, University of Management and Technology Lahore, Pakistan
A. Rauf
Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan

ABSTRAKT

The unsteady free convection flow of an incompressible second-grade fluid near a vertical plate is considered on the assumption that the fluid moves with a slip at the heated wall. The relative velocity of the fluid is assumed to be proportional to the shear rate at the wall. The exact expressions for temperature and velocity are determined by means of the Laplace transform with respect to the temporal variable t. The velocity fields corresponding to both the slip and no-slip conditions for second-grade and Newtonian fluids are obtained in the general case where the vertical plate is moved with the velocity Uof(t). Two particular cases, namely translation with a constant velocity and sinusoidal oscillations of the wall are discussed. Some physical aspects of the two flows are illustrated graphically. The influence of the slip coefficient on the velocity is also studied.


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