Flow of a Jeffrey fluid between torsionally oscillating disks

In this paper, the flow of Jeffrey fluid between two torsionally oscillating disks is studied. This problem is solved in two cases. The first case is one disk oscillating and the other is at rest and the second case is two disks are oscillating with same frequency and speed but with phase difference of 180°. We found that the radial-axial flow has a mean steady component and a fluctuating component of frequency twice that of the oscillating disk. When the Jeffrey parameter λ tends to zero, the results coincide with the corresponding Newtonian case obtained by Rosenblat.