Dynamics of a Submerged and InclinedConcentric Pipe System with Internal andExternal
نویسنده
چکیده
In this paper, we formulate a mathematical model to study the dynamics of submerged and inclined concentric pipes with diierent lengths. The governing equations of motion for the inner pipe are derived under small deformation assumptions and with the consideration of gravitational forces, turbulent boundary layer thickness of external ow, uid frictional forces, and inertia eeects. We obtain discretized dy-namical equations using spatial nite diierence schemes and calculate the resonant frequencies of a particular pipe system design. In addition, by varying the operating conditions, we identify a few critical parameters pertaining to the proper design of such pipe systems.
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