Abstract
We investigate the effects of magnetic field on trapping at the centerline and at the channel wall for Carreau fluid through uniform channel. The problem is formulated using a perturbation method (to second order) in terms of Weissenberg number ( Wi). It has been noted that the pressure rise and friction force for Newtonian and Carreau fluids increase with Hartmann number M except at certain values of volume flow rate. The trapping limit and the trapping occurrence region at the centerline increase with M but they are independent approximately of M at certain values of amplitude ratio. Furthermore, the trapping occurrence region (at the wall) decreases as M is increased. Also, the magnitude of vertical velocity and shearing extra stress increase with M in contraction region. The peristaltic pumping and the augmented pumping are discussed for various values of the physical parameters of interest.
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