The Effects of Mixing, Reaction Rates, and Stoichiometry on Yield for Mixing Sensitive Reactions—Part II: Design Protocols

Table 4

System of equations for competitive-consecutive reaction scheme, to be used with (1) and (2).

Species	Mass balance partial differential equation
A	𝜕(𝑤𝐴)/𝜕𝑡^∗=𝜕^2(𝑤𝐴)/𝜕𝑥^∗2−Da𝑤𝐴𝑤^𝜖𝐵
B	𝜕(𝑤𝐵)/𝜕𝑡^∗=𝜕^2(𝑤𝐵)/𝜕𝑥^∗2−𝜖Da𝑤𝐴𝑤^𝜖𝐵−𝛼𝛾/𝛽Da𝑘2/𝑘1𝑤^𝛽𝑃𝑤^𝛾𝐵
P	𝜕(𝑤𝑃)/𝜕𝑡^∗=𝜕^2(𝑤𝑃)/𝜕𝑥^∗2+(1+𝜖)Da𝑤𝐴𝑤^𝜖𝐵−Da𝑘2/𝑘1𝑤^𝛽𝑃𝑤^𝛾𝐵
S	𝜕(𝑤𝑆)/𝜕𝑡^∗=𝜕^2(𝑤𝑆)/𝜕𝑥^∗2+1+𝜖+𝛼𝛾/𝛽Da𝑘2/𝑘1𝑤^𝛽𝑃𝑤^𝛾𝐵
I	𝜕(𝑤𝐼)/𝜕𝑡^∗=𝜕^2(𝑤𝐼)/𝜕𝑥^∗2