Mass transfer accompanied by first-order chemical reaction for turbulent duct flow

Hanna, Owen T.; Sandall, Orville C.; Wilson, C. L.

doi:10.1021/ie00071a019

Cited by 10 publications

(3 citation statements)

References 6 publications

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“…Their predicted values of the enhancement ratio ζ increased with L / b , and the fully developed values, which ranged up to 9.87 for = 50 and Sc = 50 000, were correlated closely by the expressions and Here = t 1/2 τ w /μ and t 1/2 is the half-life for the reaction. Considering the differences in the modeling, the predicted values of ζ by Hanna et al, when plotted as ζ versus kt 1/2 , were found to agree remarkably well with the essentially exact values of Mitrovic and Papavassiliou. Equation 70 is presumed to be applicable for heat transfer with uniform heating at the wall and an endothermic reaction or the converse if the residence time required for the difference between the wall and mixed-mean temperature to attain half of its value at the inlet is taken as the half-life.…”

Section: Energetic Effectsmentioning

confidence: 67%

“…Hanna et al utilized an eddy diffusivity model of reasonable validity, postulated the analogy between heat and mass transfer, and made a number of numerically justified idealizations to derive an implicit algebraic solution for the enhancement of mass transfer by a first-order irreversible isothermal chemical reaction in the asymptotic limit of large Sc as a function of a + Sc 1/3 and ( k μ/ τ w ) Sc 1/3 only. Their expression predicts enhancements by as high as a factor of 4.…”

Section: Energetic Effectsmentioning

confidence: 99%

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Interaction of Chemical Reactions and Transport. 1. An Overview

Churchill

2005

Ind. Eng. Chem. Res.

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Chemical reactions, fluid mechanics, heat transfer, and mass transfer have both direct and indirect interactions. The direct ones, which are examined here, involve the effects of the fundamental mechanisms of reaction and transport on one another. The indirect ones, which arise from combined reactors, heat exchangers, and separators, are to be examined separately. Although most of the direct interactions have been recognized for decades, the investigations of such phenomena experimentally, theoretically, and numerically are very limited in number and scope. Furthermore, they are scarcely mentioned in textbooks on either chemical reaction engineering or transport. They could readily be incorporated in the software for computer-aided process design but have not, possibly because of the significant added complexity but more likely because of a lack of recognition of their importance or even their existence. In a supplementary investigation, selective numerical calculations have shown that, although the interactions between reaction and transport are of second order in magnitude in some applications, they are critical in others. Accordingly, in another supplementary investigation, new concepts, generalizations, and asymptotes have been devised to encompass these interactions and thereby abet their inclusion in future textbooks and software.

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Section: Energetic Effectsmentioning

confidence: 67%

Section: Energetic Effectsmentioning

confidence: 99%

Interaction of Chemical Reactions and Transport. 1. An Overview

Churchill

2005

Ind. Eng. Chem. Res.

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“…Hanna et al [7] employed a large Schmidt number asymptotic approximation procedure to derive an analytical solution for the mass transfer from the wall accompanied by a first-order chemical reaction for liquids in fully developed turbulent flow in a circular tube. Meyerink and Friedlander [8] and Harriott and Halmilton [9] have conducted experiments to measure the mass transfer rate of benzoic acid, which dissolved from the wall of a pipe into water or glycerine-water solution in fully developed turbulent flow.…”

Section: Introductionmentioning

confidence: 99%