On the Stokes Paradox in a Micropolar Liquid

Abstract

Classical problem of an infinite flow past an infinite porous cylinder perpendicular to its axis is considered for the micropolar liquid. It is demonstrated that for a porous body, classical Stokes paradox exists neither in non-polar nor in polar liquid, i.e. non-trivial solutions was found unlike in the case of impermeable infinite obstacle. The solution is presented in finite analytical form, which is ready for exploitation in experiments and engineering applications. The interrelation of liquid and porous medium characteristics and their influence on the flow velocity is studied.