Flow Due to Slow Steady Rotation of a Porous Spherical Shell in a Visco-Elastic Fluid

摘要

In this paper we obtain the flow due to slow steady rotation of a porous spherical shell of negligible thickness about an arbitrary diameter in a visco-elastic fluid characterized by the constitutive relation given by Rivilin (1955). The non linear basic equations characterizing the flow are solved by a method of successive approximation suggested by Collins (1955). The stream line pattern of the secondary motion has been identified, also the expressions for the couple and the drag on the shell has been obtained. The result obtained coincides with that of Pattabhi Ramacharyulu (1965) in absence of porosity.