Axial MHD Flow of a Generalized Oldroyd-B Fluid Due to Two Oscillating Cylinders

Abstract:

Axial magnetohydrodynamic (MHD) flows for Oldroyd-B fluid are investigated between two cylinders. The motion of the fluid is produced by the two oscillating cylinders. The fractional calculus approach is introduced to establish the constitutive relationship of a viscolastic fluid. Velocity field and shear stress of the motion are determined in terms of Bessel function and generalized Mittag-Leffler function by using Laplace transform and Hankel transform. The influence of pertinent parameters on the flows is delineated and appropriate conclusions are drawn.

• Periodical: Advanced Materials Research (Volumes 354-355)
• Pages: 83-86
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.354-355.83
• Online since: October 2011
• Authors: Ya Qing Liu, Lian Cun Zheng, Jun Tie
• Keywords: Axial Flow, Exact Solutions, Oldroyd-B Fluid, Velocity Field

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