The prediction of chemical yield and productivity for packed tubular reactors is examined in two articles. A mathematical model and digital computing scheme are presented for reactors with several reactions, large heat effects, and heat exchange at the wall. Case studies show that yield loss depends strongly on the dimensions and flow rate adopted in reactor design. Part 1 presents a steady state reactor model based on material and energy balances formulated in partial differential equations on radial and axial space coordinates. The model allows for multiple reactions with arbitrary rate expressions and stoichiometry, axial bulk flow, radial effective diffusion and conduction, and a heat transfer resistance at the wall. Problems of scale‐up and similitude are discussed in terms of the model. Part 2 presents the numerical computing scheme and case studies.*
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Mickley et al. (1963) studied this question.