Unsteady flow of a micropolar fluid generated by a circular cylinder subject to longitudinal and torsional oscillations

Abstract

The flow generated by a circular cylinder, performing longitudinal and torsional oscillations, in an infinite expanse of a micropolar fluid is studied. Analytical expressions for the velocity and micro rotation components are obtained using no slip and hyper stick conditions at the boundaries. The effects of coupling number; Reynolds number and gyration parameter on the transverse and axial velocity components are shown and explained graphically. Also explicit expression for the drag force acting on the wall of the cylinder is derived and the effects of pertinent parameters on the drag are shown graphically.

Longitudinal oscillations of a circular cylinder in a micro-polar fluid: case of resonance

“…The solution for w 0 if k 1 = k 2 in Eq. (20) is given in [8]. The solution for w 0 for the case, k 1 = k 2 cannot be obtained as a limiting case of k 1 ?…”

“…These resonance flows usually arise in non-Newtonian fluids whenever flows are generated due to oscillations of the bodies. For example, this case arises in the papers of [6][7][8], but these cases were not attempted by the authors. Recently Ramana Murthy et al [9,10] investigated the resonance case of rectilinear oscillations of circular cylinder and sphere.…”

Developing buoyant convection in vertical porous annuli with unheated entry and exit

“…The application of their study involves solar collectors and heat exchangers. In circular tubes, Nagaraju and co-workers [36][37][38] performed analytical study to estimate the flow behavior, heat transfer rate, and entropy generation in the presence of magnetic field and by considering different fluids. Recently, Menni et al 39,40 made a detailed review of nanofluids in different geometries and applications related with solar collectors.…”