Axial MHD Flow of a Generalized Oldroyd-B Fluid Due to Two Oscillating Cylinders
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.
Hao Zhang, Yang Fu and Zhong Tang
Y. Q. Liu et al., "Axial MHD Flow of a Generalized Oldroyd-B Fluid Due to Two Oscillating Cylinders", Advanced Materials Research, Vols. 354-355, pp. 83-86, 2012