Hydrodynamic Stability of Complaint Pipe for Normal Complaince

Abstract

In this paper the hydrodynamic stability of a complaint pipe carrying fluid is analyzed by considering Hagen-Poiseuille flow through a visco-elastic pipe with an outer rigid shroud and an interface intervention. The interface plate used here allows only normal motion to pass through to the solid side. This interface plate is held by light springs at the ends and the springs are so stretched in tension that the plate does not allow mean tangential displacement of the solid side. By the use of the interface plate, the shear stress and the tangential motion from the fluid side are prevented from transmitting to the visco-elastic solid side. The neutral stability curves for different values of the compliance parameter (G) and of the solid to fluid viscosity ratio are examined. And it was found that the wall dissipation tends to damp most classes of modes.