Some new cases of free convection of second grade fluid with ramped wall temperature and slip condition at the boundary
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Date
2016-06-21
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UMT Lahore
Abstract
The purpose of this work is to find the exact solutions of unsteady free convection of non-Newtonian fluid by assuming the slip at the heated wall. The relative velocity of the fluid is assumed to be proportional to the shear stress at the wall. By means of Laplace transform technique, the exact expressions for the temperature and velocity fields are obtained in dimensionless form. The velocity fields corresponding to both slip and non-slip conditions for the second-grade and Newtonian fluids are obtained in the general case when the vertical plate is moved with velocity A0h(t). Solutions for particular and limiting cases are also obtained. Some physical aspects of flow parameters and the slip coefficient are presented graphically.