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.
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.
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).
The fluid-structure system's 4th mode of excitation shows an unstable-stable-unstable response as liquid velocity is increased.
Flutter instability with growth at a corresponding fixed liquid velocity.