UDC 621 MHD DUSTY JEFFREY FLUID FLOW BETWEEN OSCILLATING COAXIAL CIRCULAR CYLINDERS © V. Ramesh Babu Department of Mathematics, Rashtriya Sanskrit Vidyapeeth, Deemed University, Tirupati, India S. Sreenadh Department of Mathematics, Sri Venkateswara University, Tirupati, India A. Ramadevi Department of Mathematics, Sri Venkateswara University, Tirupati, India P.V. Arunachalam Former Vice- Chancellor, Dravidian University, Kuppam, Andhra Pradesh, India Abstract. <...> The flow of a viscous, incompressible MHD dusty Jeffrey fluid contained between two coaxial circular cylinders when the cylinders perform longitudinal oscillations along their co-axis is investigated. <...> Three cases (i) when the inner cylinder oscillates while the outer cylinder moves with uniform velocity, (ii) when the outer cylinder oscillates while the inner cylinder moves with uniform velocity and (iii) when both the cylinders oscillate, are discussed. <...> The velocity fields for the fluid and dust particles are obtained and the skin friction drag acting on each cylinder is determined. <...> In three cases, it is observed that the fluid and dust velocities decrease with an increase in Hartmann number M, time and increase with increase in Jeffrey parameter λ1 outer cylinder for different M and t. The opposite phenomena is observed for different λ1 Keywords: MHD dusty Jeffrey fluid, drag, coaxial cylinders, Jeffrey parameter. 1. <...> Saffman [1] has discussed the stability of the laminar flow of a dusty gas in which the dust particles are uniformly distributed. <...> Liu [2] has studied the flow induced by an oscillating infinite flat plate in a dusty gas. <...> Sambasiva Rao [4] has got the solution for unsteady flow of a dusty viscous liquid through circular cylinder. <...> Verma and Mathur [5] studied the unsteady flow of a dusty viscous liquid in a circular tube. <...> Rukmangadachari and Arunachalam [7] have obtained some important results on dusty viscous flow through a cylinder of triangular cross-section. <...> Sunil Datta and Singh Rathore [8] have studied the slow flow of a dusty viscous fluid due to the rotary oscillations of a prolate spheroid about major axis. <...> The drag decreases near the inner cylinder and increases near the and σ. studied the flow of an unsteady conducting dusty fluid through a circular cylinder using <...>