A model for isothermal homogeneous-heterogeneous reactions in boundary-layer flow

A model for homogeneous-heterogeneous reactions in boundary-layer flow is presented in which the homogeneous reaction is represented by cubic autocatalysis and the heterogeneous reaction by a first-order process. The flow is of a uniform stream over a flat surface (Blasius solution). It is shown that the surface reaction is the dominant mechanism near the leading edge. Numerical solutions of the governing equations reveal that the homogeneous reaction dominates downstream with this reaction taking place in a narrow region located well away from the surface. An asymptotic analysis for this reaction region is obtained.

[1]  John H. Merkin,et al.  A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I Equal diffusivities , 1995 .

[2]  J. Merkin,et al.  A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. II Different diffusivities for reactant and autocatalyst , 1995 .

[3]  John Billingham,et al.  The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves , 1991, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[4]  Andreas Acrivos,et al.  On Chemical Surface Reactions in Laminar Boundary Layer Flows , 1956 .

[5]  Andreas Acrivos,et al.  Laminar Boundary Layer Flows with Surface Reactions , 1957 .

[6]  Paul L. Chambré,et al.  On the Diffusion of a Chemically Reactive Species in a Laminar Boundary Layer Flow , 1958 .

[7]  Stephen K. Scott,et al.  Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Isolas and other forms of multistability , 1983 .

[8]  Louis Rosenhead,et al.  Laminar boundary layers , 1963 .

[9]  Olav R. Hansen,et al.  Diffusion of a chemically reactive species from a stretching sheet , 1994 .

[10]  J. Merkin,et al.  Mixed convection on a vertical circular cylinder , 1988 .

[11]  John Billingham,et al.  A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis , 1991 .

[12]  P. Simpkins,et al.  ON THE DIFFUSION OF SPECIES IN SIMILAR BOUNDARY LAYERS WITH FINITE RECOMBINATION RATE AT THE WALL , 1965 .

[13]  P. Gray,et al.  Sustained oscillations and other exotic patterns of behavior in isothermal reactions , 1985 .