27.12.2012 Views

DESIGN, ASSEMBLY AND CHARACTERIZATION OF COMPOSITE ...

DESIGN, ASSEMBLY AND CHARACTERIZATION OF COMPOSITE ...

DESIGN, ASSEMBLY AND CHARACTERIZATION OF COMPOSITE ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

APPENDICES<br />

A. Mathematical Modeling of Carbon Black Oxidation in Air<br />

The mathematical model is for estimate the oxygen concentration inside the<br />

carbon black and the rate of mass loss to carbon black at 650 °C. The following<br />

assumptions are made: 1) the ceramic surrounding the carbon black is inert in this<br />

process; 2) the permeability of ceramic to related gases is negligible so that gas diffusion<br />

only in the direction perpendicular to the carbon black surface is considered, 3) the<br />

carbon black support structure is a porous medium and has a large thickness (2L) with<br />

regard to the thickness of the reacting layer and oxidation rate, 4) the oxidation process is<br />

identical on either side of the carbon black that is open to air. Thus we only need to<br />

consider the situation on either side; 5) air flow, if any, is parallel to the carbon black<br />

surface; 6) carbon black is of 100% pure carbon without impurities; 7) the oxygen<br />

consumption rate is first order with respect to local oxygen concentration; and 8) a quasi-<br />

steady state is assumed for the oxidation process. The box shaped carbon black support<br />

structure in Figure 3.6a and its model geometry are shown in Figure A.1.<br />

At 650 °C, oxidation of carbon black yields two products CO and CO2, with a<br />

CO2/CO ratio at around 0.85. A1, A2 The two reactions are:

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!