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• W3111461929 endingPage "103190" @default.
• W3111461929 startingPage "103190" @default.
• W3111461929 abstract "A geometrically-exact nonlinear theory is developed for pipes conveying fluid based on the total momentum of the fluid and pipe. The proposed model accounts for geometric and kinematic nonlinearities of the pipe and inertial coupling between the pipe and internal flow. The fully nonlinear differential governing equations are derived based on the momentum balance of pipe and fluid in floating non-inertial frames, allowing for large displacements and overall rigid-body motions. The internal fluid pressures along a pipe are considered; the fluid is viscous but assumed to be incompressible and homogeneous. A separation of displacements technique combined with an assumption of small incremental displacements is used to derive an updated Lagrangian formulation, which allows a large-displacement nonlinear model to be converted into a series of piecewise-linear models. The resulting time-stepping method is numerically implemented using the finite-volume discretization. The effectiveness of the proposed developments is demonstrated in a series of numerical examples, including a cantilever pipe discharging fluid, a semi-circular curved pipe, and a marine riser subject to top tension and forced motion. The new model is shown to predict an unstable flutter at a relatively low flow velocity for a cantilever discharging pipe, and to predict a transition behavior before the onset of the observed flutter instability." @default.
• W3111461929 created "2020-12-21" @default.
• W3111461929 creator A5035711176 @default.
• W3111461929 creator A5042112407 @default.
• W3111461929 date "2021-01-01" @default.
• W3111461929 modified "2023-10-17" @default.
• W3111461929 title "A geometrically-exact momentum-based nonlinear theory for pipes conveying fluid" @default.
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• W3111461929 doi "https://doi.org/10.1016/j.jfluidstructs.2020.103190" @default.
• W3111461929 hasPublicationYear "2021" @default.
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