Faculty Advisor

Tilley, Burt S.


Thin liquid films are common in fluid mechanics and engineering. In this project, the goal is to simulate how symmetrically oscillating plates can acoustically enhance the cooling process of a thin, incompressible liquid sheet. The governing equations of this system include mass, momentum, and energy balance equations for both the liquid and the compressible. After scaling these equations, a long-wave analysis is performed, and we find equations that describe the evolution of interface height, liquid velocity, and temperature of the system. The evolution of these equations are numerically simulated over time, testing several sets of parameter values. It was found that an oscillating plate, compared to a stationary one, improves cooling. Additional dynamics of this system will be discussed.


Worcester Polytechnic Institute

Date Accepted

April 2017


Mathematical Sciences

Project Type

Major Qualifying Project



Advisor Department

Mathematical Sciences