“…Otherwise, by assuming a homogeneous system, e.g., ideal plug flow, overestimation of the conversion rate in heterogeneous systems is likely to result. The contact efficiency could be determined by assuming a riser as a steady-state plug flow reactor: 24 , 25 , 48 , 50 , 63
with a solution:
where s is the averaged solids volume fraction in a slice of thickness Δz , U the gas superficial velocity, K ov the apparent volumetric reaction rate constant, γ pf a gas–solid contact efficiency, and Da the Damköhler number defined as
The gas–solid contact efficiency γ pf could be computed at different axial increments of Δz , by quantifying the contact efficiency as the ratio between the apparent conversion rate and the conversion obtained when a 1D plug flow model is assumed, ignoring any heterogeneity.…”