Boltzmann Transport Equation - COMSOL.com
Boltzmann Transport Equation - COMSOL.com
Boltzmann Transport Equation - COMSOL.com
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Steady-State Problem: Analytic vs. Numerical Solutions<br />
Heat flux<br />
Thermal conductivity<br />
*<br />
* q<br />
*<br />
q =<br />
k =<br />
+ −<br />
*<br />
J q 1<br />
− J q<br />
∆e 2<br />
o<br />
q<br />
L<br />
Nondimensional heat flux, q*<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
Analytic<br />
Numerical (ngp=16)<br />
Numerical (ngp=128)<br />
0.1 1 10 100<br />
Knudsen number, Kn=Λ/L<br />
k* = q*L/∆eo*<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
0<br />
Analytic<br />
Numerical (ngp=16)<br />
Numerical (ngp=128)<br />
0.1 1 10 100<br />
Knudsen number, Kn=Λ/L<br />
12
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