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

V. K. Narla | Zendy; K. Maruthi Prasad | Zendy; J. V. Ramanamurthy | Zendy

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

Author(s) -

V. K. Narla,

K. Maruthi Prasad,

J. V. Ramanamurthy

Publication year - 2013

Publication title -

chinese journal of engineering

Language(s) - English

Resource type - Journals

ISSN - 2314-8063

DOI - 10.1155/2013/582390

Subject(s) - streamlines, streaklines, and pathlines , reynolds number , peristalsis , viscoelasticity , mechanics , fractional calculus , curvature , newtonian fluid , mathematics , mathematical analysis , wavelength , flow (mathematics) , physics , classical mechanics , geometry , turbulence , optics , thermodynamics , chemistry , biochemistry

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 assumptionsof 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

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