Fluidized Bed Assignment

Problem $1$

Estimate the conversion for a first$-$order irreversible reaction with a rate constant $\{gas]{)}^3$ taking place in a fluidized bed, and plot your result. Ignore the possible presence of solids in the splash zone and in the freeboard and the extra conversion that this may give.

Data

Gas $,D=2{10}^{-5}\frac{m^2}{s}$

Particles: $,d_p=68m$

Bed

${}_m=0\mathrm{.}5$ assume ${}_{-}b=0\mathrm{.}005$

${}_{mf}=0\mathrm{.}55,u_{mf}=0\mathrm{.}006\frac{m}{s},d_b=0\mathrm{.}04m$

$L_m=0\mathrm{.}7m,u_o=0\mathrm{.}1\frac{m}{s},d_{\text{b}\text{e}\text{d}}=0\mathrm{.}26m$

Solve this problem again using the ODE's given in equations R$12\mathrm{.}3-33$ through $35.$ Comment on the differences obtained.