Author/Authors :
Athar، M نويسنده Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan , , Fetecau، C نويسنده Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan , , Fetecau، Corina نويسنده Department of Theoretical Mechanics, Technical University of IASI, R-6600 Iasi, Romania , , Aman، A.U نويسنده Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan ,
Abstract :
The velocity ¯eld and the adequate shear stress, corresponding to the °ow of a generalized second grade
°uid in an annular region, due to a quadratic time-dependent shear stress, are determined by means of the
Laplace and the ¯nite Hankel transforms. The solutions that have been obtained satisfy both the governing
equations and all imposed initial and boundary conditions. For b ! 1 or ¯ ! 1 and ®1 ! 0, the cor-
responding solutions for a second grade °uid, respectively, for the Newtonian °uid, performing the same
motion, are obtained from general solutions. Finally, the in°uence of the material and fractional parameters
on the shear stress as well as a comparison between models is drawn by graphical illustrations
