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Laminar flow diffusion of power‐law fluids in a tube with arbitrary order heterogeneous and homogeneous reactions
Author(s) -
Chang ChingYuan,
Chern YeongTsong
Publication year - 1985
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450630511
Subject(s) - laminar flow , thermodynamics , thermal diffusivity , diffusion , isothermal process , newtonian fluid , non newtonian fluid , power law fluid , power law , mechanics , reaction rate , flow (mathematics) , chemistry , materials science , physics , mathematics , biochemistry , statistics , catalysis
Solutions for isothermal laminar flow diffusion with simultaneous heterogeneous and homogeneous reactions in a tube are extended to the case of non‐Newtonian power‐law fluids with arbitrary order reactions. Finite‐difference methods are employed to yield the solutions. Special emphases are placed on the role of the reaction product characterized by two unique parameters, the diffusivity ratio and the stoichiometric coefficient ratio. Effects of reaction rate kparameters on the unique parameters, the diffusivity ratio and the stoichiometric coefficient ratio. Effects of reaction rate parameters on the system performance are also presented, showing a crossover behavior of the Sherwood number. The results are in good agreement with known solutions for systems of Newtonian fluids with first‐order reactions.