NUMERICAL SOLUTION OF LONGITUDINAL AND TORSIONAL OSCILLATIONS OF A CIRCULAR CYLINDER WITH SUCTION IN A COUPLE STRESS FLUID

The flow of a couple stress fluid generated by performing longitudinal and torsional oscillations of a porous circular cylinder subjected to constant suction at the surface of the cylinder is studied. A finite difference method is proposed to analyze the velocity components, in an infinite expanse of an incompressible couple stress fluid under vanishing couple stresses of type A condition or super adherence condition of type B on the boundary. The effects of couple stress parameter, Reynolds number and the ratio of couple stress viscosities parameter on transverse and axial velocity components are studied. The drag force acting on the wall of the cylinder is derived and effects of couple stress parameters on drag are shown graphically.

[1]  D. Srinivasacharya,et al.  Unsteady Flow of Micropolar Fluid through a Circular Pipe under a Transverse Magnetic Field with Suction/Injection , 2010 .

[2]  D. Srinivasacharya,et al.  Flow and heat transfer of couple stress fluid in a porous channel with expanding and contracting walls , 2009 .

[3]  Peeyush Chandra,et al.  Peristaltic motion of micropolar fluid in circular cylindrical tubes : Effect of wall properties , 2008 .

[4]  M. Devakar,et al.  Stokes' Problems for an Incompressible Couple Stress Fluid , 2008 .

[5]  K. Rahaman,et al.  On the flow of an Oldroyd-B liquid through a straight circular tube performing longitudinal and torsional oscillations of different frequencies , 2006 .

[6]  Nabil T. M. Eldabe,et al.  Effect of Couple Stresses on the MHD of a Non-Newtonian Unsteady Flow between Two Parallel Porous Plates , 2003 .

[7]  C. Calmelet-Eluhu,et al.  Flow of a micropolar fluid through a circular cylinder subject to longitudinal and torsional oscillations , 1998 .

[8]  S. Majumdar,et al.  Longitudinal and torsional oscillation of a rod in a polar fluid , 1991 .

[9]  S. Majumdar,et al.  Flow due to the longitudinal and torsional oscillation of a cylinder , 1990 .

[10]  J. Dodds,et al.  Laminar flow in channels with porous walls , 1989 .

[11]  Vijay Kumar Stokes,et al.  Theories of Fluids with Microstructure , 1984 .

[12]  Kumbakonam R. Rajagopal,et al.  Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid , 1983 .

[13]  V. Soundalgekar,et al.  Effects of couple stresses on the oscillatory flow past an infinite plate with constant suction , 1974 .

[14]  Mario J. Casarella,et al.  Drag on an Oscillating Rod with Longitudinal and Torsional Motion , 1969 .

[15]  G. M. Shrestha,et al.  Laminar flow through parallel and uniformly porous walls of different permeability , 1965 .

[16]  S. W. Yuan.  Further Investigation of Laminar Flow in Channels with Porous Walls , 1956 .

[17]  J. Sellars.  Laminar Flow in Channels with Porous Walls at High Suction Reynolds Numbers , 1955 .