Stability Analysis of Fluid Flow through a Flexible Pipe by Energy Balance Method for Non-Axisymmetric Disturbances

In this paper, the energy balance technique is used to study the stability of flexible pipe. The pipe flow is considered as laminar flow. The outer surface of the pipe is taken as shroud. The different curves are plotted for the various flexibility parameters i.e. Γ=√ρ_fV²/G and μ_r=μ_s/μ_f., where μ_s is the viscosity of flexible material, and μ_f is viscosity of fluid and ρ_f, V and G are fluid density, centre line velocity of pipe and modulus of rigidity. It is found that the various energy terms are responsible for the stability of flexible pipe flow.