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Chinese Journal of Engineering
Volume 2013 (2013), Article ID 582390, 7 pages
Research Article

Peristaltic Motion of Viscoelastic Fluid with Fractional Second Grade Model in Curved Channels

1Department of Mathematics, GITAM University, Hyderabad-502329, Andhra Pradesh, India
2Department of Mathematics, National Institute of Technology, Warangal-506004, Andhra Pradesh, India

Received 11 October 2013; Accepted 27 November 2013

Academic Editors: H. Hu and Y. Zhu

Copyright © 2013 V. K. Narla et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Exact analytic solutions are obtained for the flow of a viscoelastic fluid with fractional second grade model by peristalsis through a curved channel. The flow has been investigated under the assumptions of long wavelength and low Reynolds number approximation. The streamlines for trapped bolus of Newtonian fluid are analyzed graphically. The fractional calculus approach is used to get analytic solutions of the problem. The influence of fractional parameter, material constant, amplitude, and curvature parameter on the pressure and friction force across one wavelength are discussed numerically with the help of graphs.