Wahid,

You could start by looking at a sphere of radius R, with some finite
resistivity (rho), in a spatially uniform electric field with a sinusoidal
time variation of frequency f.  This should be solvable analytically.  You
will get a power dissipation in the sphere as a function of R,f, and rho. An
advanced undergrad or beginning grad text on E and M will help you with
this.

Next you will need to estimate the rate of air cooling and blackbody
cooling.  Air cooling can be estimated from the air density and temperature.
An advanced undergrad thermodynamics or statistical mechanics should cover
this.  Blackbody radiation follows a simple formula, which should be easy to
calculate.

With these two models, you can estimate the equilibrium temperature and see
if the carbon will oxidize.

My guess is that you find that for sufficiently small particles, air cooling
will be high (higher surface area to mass ratio, which goes as 1/r), heating
from the EM wave will get small very rapidly for small r, and there will be
a lower limit on the radius of a carbon particle that can be burned this way
for a given frequency.  But I don't really know, it would be worth it to
work through the math.

David Nemeth

-----Original Message-----
From: [email protected] [mailto:[email protected]]
On Behalf Of wahid YEMI.
Sent: Wednesday, May 02, 2007 1:11 PM
To: [email protected]
Subject: [mems-talk] Heating particles in gas-particles flow with
microwavefrequency

Hallo,

Anyone a clear idea for theoretical explanations, and
other possible
expectations on carbon particles interaction with
microwave frequency (2.45
GHz). Fundamental idee is improvement of
gas-particles-flow heating behaviour with microwave
without plasma generation