Flow in a compliant annulus (Q1195030)

The flow of a viscous incompressible fluid through an annulus is investigated. The inner surface of the annulus is a smooth rigid cylinder while the outer surface is a flexible cylinder whose radius is varying with time as well as with axial distance. Perturbation technique has been employed to obtain the solution of the problem, taking variation in the outer surface as perturbation parameter. The boundary conditions at the outer surface are suitably amended with the use of Taylor's series expansion. The dimensionless shearing stress and volume rate of flow have been obtained at various sections of the annulus.