A B C
Z. Naturforsch. 66a, 753 – 759 (2011)
doi:10.5560/ZNA.2011-0044
General Solutions for the Unsteady Flow of Second-Grade Fluids over an Infinite Plate that Applies Arbitrary Shear to the Fluid
Constantin Fetecau1, Corina Fetecau2, and Mehwish Rana3
1 Department of Mathematics, Technical University of Iasi, Iasi 700050, RomaniaAssociate member of Academy of Romanian Scientists, 050094 Bucuresti, Romania
2 Department of Theoretical Mechanics, Technical University of Iasi, Iasi 700050, Romania
3 Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
Received June 11, 2011
Reprint requests to: C. F.; E-mail: c_fetecau@yahoo.com
General solutions corresponding to the unsteady motion of second-grade fluids induced by an infinite plate that applies a shear stress f(t) to the fluid are established. These solutions can immediately be reduced to the similar solutions for Newtonian fluids. They can be used to obtain known solutions from the literature or any other solution of this type by specifying the function f(·). Furthermore, in view of a simple remark, general solutions for the flow due to a moving plate can be developed.
Key words: General Solutions; Second-Grade Fluids; Infinite Plate; Shear Stress.
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