A note on decay of potential vortex in an Oldroyd-B fluid through a porous space

The problem of decay of a potential vortex in an Oldroyd-B fluid filling the porous space is studied. The flow problem is first modeled and then solved by employing the Hankel transform. Analytical expressions of the velocity field and the associated tangential tension are developed. The well known solutions for a Newtonian fluid as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of the present solutions. Finally, some graphical results describing the influence of porous space parameters are sketched and interpreted.