deletions | additions       diff --git a/section_Model_Description_We_have__.tex b/section_Model_Description_We_have__.tex  index 067fc28..d4acd37 100644  --- a/section_Model_Description_We_have__.tex  +++ b/section_Model_Description_We_have__.tex 
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for vertical pneumatic transport. In the limit of dilute transport fluidization, it is expected that there will be no variations in axial concentration of the particles \cite{Jakobsen_2014}.   Discuss assumption of flat flow profile. Should be justifyable since hot nitrogen should have a tiny viscosity.  \subsubsection{Reaction kinetics}  We use Dan Keene's expressions for reaction rate in terms of reduction extent \cite{Keene_2013}.