1988•The Canadian Journal of Chemical EngineeringRequires access

Application of different criteria for uniqueness to the tubular reactor problem

H. J. Viuoen, N.F.J. van Rensburg

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Abstract

Abstract A new sufficient condition for uniqueness is applied to the tubular reactor problem. The resulting criterion is compared to existing criteria. Better a‐priori estimates of the temperature solution were used to improve estimates on upper bounds for uniqueness. It is shown that these a‐priori estimates bear the primary responsibility for the better results.

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What this paper is about

Abstract A new sufficient condition for uniqueness is applied to the tubular reactor problem. The resulting criterion is compared to existing criteria. Better a‐priori estimates of the temperature solution were used to improve estimates on upper bounds for uniqueness. It is shown that these a‐priori estimates bear the primary responsibility for the better results.

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Available abstract

Abstract A new sufficient condition for uniqueness is applied to the tubular reactor problem. The resulting criterion is compared to existing criteria. Better a‐priori estimates of the temperature solution were used to improve estimates on upper bounds for uniqueness. It is shown that these a‐priori estimates bear the primary responsibility for the better results.

Key concepts: Uniqueness, A priori and a posteriori, Applied mathematics, Mathematics, Mathematical optimization, Mathematical analysis, Epistemology, Philosophy

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