The flow of a viscous, incompressible fluid between two eccentric rotating porous cylinders with suction/injection at both the cylinders, for very small clearance ratio is studied. The expressions for various flow characteristics are obtained using perturbation analysis. Streamlines and pressure plots are shown graphically for various values of flow parameters and discussed.
Slow flow of a viscous incompressible fluid past a slender body of circular crosssection is treated by the method of matched asymptotic expansions. The main result is an integral equation for the force per unit length exerted on the body by the fluid. The novelty is that the body is permitted to twist and dilate in addition to undergoing the translating, bending and stretching, which have been considered by others. The method of derivation is relatively simple, and the resulting integral equation does not involve the limiting processes which occur in the previous work.
Hydrodynamic flow between rotating eccentric cylinders with suction at the porous walls