LAUSR

An analytical study is presented for the slow steady flow past a porous cylinder surrounded by a coaxial fictitious cylindrical container of suspending fluid using Happel and Kuwabara models. The inner cylinder is porous and the outer cylinder is frictionless. Stokes equation is used for the flow outside the porous cylinder and Darcy’s law with a permeability coefficient k that depends on the non-dimensional radius r is used in the porous region. The power law for the porosity of the form $$k(r)=k_{0}r^b$$k(r)=k0rb is used. The boundary conditions used are the continuity of the normal velocity components, the external normal stress is equal to the internal pressure, slip boundary condition for tangential velocities at the porous-liquid interface. The hydrodynamic drag experienced by the porous particle in the presence of cavity is obtained. Some well known results are deduced from the present analysis.