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Solves the fluid structure interaction (FSI) equations of motion for studying the nonlinear dynamics of flexible pipes conveying two-phase flows.

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Date written: November 2019

Final project for ME 506 (Two-Phase Flow and Heat Transfer) at Purdue University taught by Professor Mudawar of the Mechanical Engineering department.

Dynamics of Pipes Conveying Two-Phase Flows

Solves the equation of motion (EoM) for pipes conveying two-phase flows using the Galerkin method; a fluid-structure interaction problem. Used to study the dynamics of the pipe, such as the response, bifurcations, and critical flow velocities, for different two-phase flow parameters. To get an overview of the study, click here to view the presentation slides; open with Adobe Acrobat for animations to work. For complete details, refer to the project report by clicking here.

Verification

The image below represents the dynamics of vertical downflow in a cantilever pipe, reproducing literature results of Paidoussis and Issid (1974) for the case where the fluid is a liquid only (i.e. single phase).

Restabilizing System Response

The fluid-structure system's 4th mode of excitation shows an unstable-stable-unstable response as liquid velocity is increased.

Unstable Transient Motion of Pipe

Flutter instability with growth at a corresponding fixed liquid velocity.

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Solves the fluid structure interaction (FSI) equations of motion for studying the nonlinear dynamics of flexible pipes conveying two-phase flows.

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