J. Clemens et C. Saltiel, NUMERICAL MODELING OF MATERIALS PROCESSING IN MICROWAVE FURNACES, International journal of heat and mass transfer, 39(8), 1996, pp. 1665-1675
A detailed numerical model is presented for predicting electromagnetic
fields in microwave waveguides and cavities, and the power deposition
and temperature distribution in processed samples. Implementation of
explicit finite difference schemes for solving the coupled unsteady Ma
xwell and energy equations is discussed. Simulations are performed ill
ustrating the influence of working frequency, sample size and dielectr
ic properties. The occurrence of resonant conditions, where constructi
ve electromagnetic wave interference patterns produce high electric fi
eld intensities at discrete locations throughout the cavity, is shown
to be the key ingredient for achieving high heating levels. The presen
ce of coupled nonlinear processes is significant in materials which ex
hibit temperature dependent electromagnetic properties. This is illust
rated in the processing of alumina, where local heating produces an ex
ponential rise in temperature, once a critical temperature level is ac
hieved.