Abstract

Asymptotes, approximations, and generalizations are presented for homogeneous reactions in a round tube. The well-known solutions for plug flow and laminar flow are first reinterpreted as asymptotes for perfect and negligible radial mixing, respectively, for non-energetic reactions. The use of integrated-mean terms to derive asymptotes and approximate solutions for a wide range of behavior, including energetic reactions in adiabatic flow, is then illustrated.

Generalized solutions analogous to those for thermal convection in terms of Re and Pr appear to be impossible to formulate for systems involving multiple reaction mechanisms because of the many parameters, including for energetic reactions the frequency factor, energy of activation, and heat of reaction for each mechanism. However, generalization appears to be feasible in terms of differential formulations and numerical methods of solution.

Recommended Citation

Churchill, Stuart W. (2007) "The Interaction of Reactions and Transport Part III: Asymptotes, Approximations, and Generalizations," International Journal of Chemical Reactor Engineering: Vol. 5: A74.
Available at: http://www.bepress.com/ijcre/vol5/A74