RETRACTED ARTICLE: Flow of fractional Maxwell fluid between coaxial cylinders |
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Authors: | C Fetecau Corina Fetecau M Jamil A Mahmood |
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Institution: | 1.Abdus Salam School of Mathematical Sciences,GC University,Lahore,Pakistan;2.Department of Mathematics,Technical University of Iasi,Iasi,Romania;3.Department of Theoretical Mechanics,Technical University of Iasi,Iasi,Romania;4.Department of Mathematics,NED University of Engineering and Technology,Karachi,Pakistan;5.Department of Mathematics,COMSATS Institute of Information Technology,Lahore,Pakistan |
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Abstract: | This paper deals with the study of unsteady flow of a Maxwell fluid with fractional derivative model, between two infinite
coaxial circular cylinders, using Laplace and finite Hankel transforms. The motion of the fluid is produced by the inner cylinder
that, at time t = 0+, is subject to a time-dependent longitudinal shear stress. Velocity field and the adequate shear stress are presented under
series form in terms of the generalized G and R functions. The solutions that have been obtained satisfy all imposed initial and boundary conditions. The corresponding solutions
for ordinary Maxwell and Newtonian fluids are obtained as limiting cases of general solutions. Finally, the influence of the
pertinent parameters on the fluid motion as well as a comparison between the three models is underlined by graphical illustrations. |
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