Mathematical Sciences - PhD Dissertation Defense "AN ASYMPTOTIC APPROACH TO MODELING WAVE-GEOMETRY INTERACTIONS IN AN ELECTROMAGNETIC HEAT EXCHANGER" by Joseph Gaone

Friday, April 13, 2018
10:00 am to 12:00 pm
Floor/Room #: 
402

Joseph Gaone

PhD Candidate

PhD Dissertation Defense

TITLE: AN ASYMPTOTIC APPROACH TO MODELING WAVE-GEOMETRY INTERACTIONS IN AN ELECTROMAGNETIC HEAT EXCHANGER

Abstract: Electromagnetic (EM) heat exchangers are devices which absorb EM radiation and convert its energy to thermal energy for a specific purpose such as to power a turbine. They have recently been of growing interest, yet the field is predominantly studied with thermal resistance network models and is in need of more rigorous continuum modeling. Homogenization has been used in low and high frequency electromagnetics to describe macroscopic behavior of traveling waves. While dielectric material parameters vary with temperature, coupling the energy equation with Maxwell’s equations, little effort has been made toward homogenization techniques that capture the effects of this dependence, which is necessary to accurately model porous medium heat exchangers. First, we have examined the effect the wave-geometry interactions of high-frequency illumination has on a triple-layer laminate, which approximates the unit cell of a homogenization problem. Second, we develop an extension to a high-frequency homogenization method developed for photonics by introducing a dielectric loss. It is then compared with the exact solution to the scattering problem by implementing the Transfer Matrix Method. The new high-frequency homogenization method will help study how the unique behavior of wave propagation, normally associated with photonic crystals, affects the heating characteristics of EM heat exchangers and aid in the design and control of such devices.

Dissertation Committee:

Dr. Burt Tilley (Advisor, WPI)
Dr. Vadim Yakovlev (Advisor, WPI)
Dr. Bogdan Vernescu (WPI)
Dr. Homer Walker (WPI)
Dr. Brad Hoff (AFRL-Kirtland)