Flutter is a naturally occurring and incredibly dangerous phenomenon. Flutter is the oscillation of a solid material, when exposed to specific conditions from fluid (liquid or gas) interaction, flows around and interacts with a rigid material, where the rigid material gains energy and the amplitude of oscillations of the structure increases. This amplitude increase is due to energy transferring from the fluid to the solid material. As the structure continues to interact with the fluid, the vibrations of the material increase without bound. It has been well studied that flutter can cause bridges to collapse, aircraft wings to break in mid-flight, and is a known cause of sleep apnea. Flutter is also naturally occurring in our blood vessels. This research concerns a long-standing bio-mathematical problem of deriving an analytical model to understand the flutter within blood vessels and the collapse of the membrane walls impacting the efficiency of blood flow.
