Convective instability in the presence of a catalytic chemical reaction: Part II. Oscillatory instability

Authors

  • P. C. Wankat,

    1. Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08540
    Current affiliation:
    1. School of Chemical Engineering, Purdue University, Lafayette, Indiana 47907
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  • W. R. Schowalter

    Corresponding author
    1. Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08540
    • Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08540
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Abstract

This is an extension of earlier work in which a linear analysis of hydrodynamic stability was applied to a fluid mixture contained between two horizontal planes. One species diffuses to the lower plane where it is destroyed by a rapid exothermic or endothermic catalytic reaction. In the present work, Galerkin's method has been used to study the importance of oscillatory instability in a system with the more dense species concentrated near the top plane. Results show that, for cases likely to be of physical interest, oscillatory instabilities are not expected.

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