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Summer Program Seminars 2006

Tuesday, July 11, 2006 @ 10:00AM
Cullimore Hall, Room 611
New Jersey Institute of Technology

Microwave Heat-Processing of a Thin Cylinder in a Cavity

Michael Booty

(Joint work with Gregory A. Kriegsmann)

Department of Mathematical Sciences

New Jersey Institute of Technology

Newark, New Jersey

ABSTRACT

The derivation of a mathematical model for the microwave heating of a thin cylindrical ceramic target is given.  This is based on a small number of plausible assumptions and observations about the underlying length scales, time scales, and parameter values of the process that enables reduction of the full governing equations, which are the Maxwell and thermal energy equations for a thermally sensitive lossy dielectric target, to a nonlinear nonlocal parabolic PDE in one space dimension.  The solution of this reduced equation gives the target's temperature and the solution structure is discussed.