Capstone (Math 451H) Spring 2007:
Instability of a Fluid Strip
Department of Mathematical Sciences
Instability of a fluid strip
Assistant: Nebo Murisic
Instructor: Lou Kondic
Department of Mathematical Sciences, New Jersey Institute of Technology
Waves on the surface of a thin liquid film have intrigued researchers for several years. Numerous experimental and modeling studies have been reported.
Due to the presence of the free surface, governing non-linear Navier-Stokes
(N-S) equations are considerably difficult to analyze. Thus effort was made to describe these surface waves using low-dimensional models derived from the N-S equations. Our project is composed of three parts. Experimentally we use a goniometer to record the profile of a strip flowing down an inclined and inverted surfaces, using two types of solids. Computationally, we solve the PDE for the fluid height for the two types of solids. Theoretically, we discuss the similarities and differences between the waves observed on falling films, and the ones present in the case of the flow down an inverted surface.
Powerpoint Presentation Link