Etude du transport de matiere en solution, a l'aide des electrodes a disque et a anneau tournants

Daguenet, M.

doi:10.1016/0017-9310(68)90040-9

Cited by 36 publications

(15 citation statements)

References 3 publications

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“…The data demonstrate clearly that even at rather high Reynolds numbers the laminar contribution to mass transfer can not be neglected and that a simple transport law of the form of Equation (2) can only be applied at Reynolds numbers well above lo6. Moreover the results confirm those of Daguenet [2] concerning the power 1/3 of the Schmidt number which is most generally considered to be correct for turbulent mass transfer (see e. g. [7]).…”

Section: Discussionsupporting

confidence: 87%

Simultaneous Laminar and Turbulent Mass Transfer at a Rotating Disk Electrode

Dossenbach¹

1976

Ber Bunsenges Phys Chem

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A general corrclation is derived which allows to describe mass transfer at a rotating disk above the critical Reynolds number Re,. It takes into account the fact that laminar and turbulent transport take place simultaneously. Electrochemical mass transfer studies at a rotating disk electrode at Reynolds numbers Re, up to 1.8. lo6, the Schmidt number Sc ranging from 930 to 10320, can be described with good accuracy by such a correlation:Sh, . Sc-= Re;"Z[0.62Re2 + 1.08. 10-2(Rei,37 -Re:,")].Es wird eine allgemeine Beziehung hergeleitet, welche die Beschreibung des Stofftransportes an der rotierenden Scheibe oberhalb der kritischen Reynoldszahl Re, gestattet. Sie berucksichtigt die Tatsache, daB laminarer und turbulenter Transport gleichzeitig auftreten. Elektrochemische Stoffiibergangsmessungen an einer rotierenden Scheibenelektrode bei Reynoldszahlen Re, bis 1,8 lo6 und Schmidtzahlen Sc zwischen 930 und 10320 lassen sich durch eine auf diese Weise erhaltene Beziehung mit guter Genauigkeit beschreiben: S h , . S C -I '~ = Re;"'[0,62ReZ + 1,08. 10-2(ReA,37 -Re:*37)].

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Section: Discussionsupporting

confidence: 87%

Simultaneous Laminar and Turbulent Mass Transfer at a Rotating Disk Electrode

Dossenbach¹

1976

Ber Bunsenges Phys Chem

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“…The dashed line is the theoretical Sherwood relation for a free rotating disk with laminar flow, , which describes the data at low Re . The dashed−dotted line is the Sherwood correlation for turbulent flow for a free rotating disk …”

Section: Resultsmentioning

confidence: 99%

“…Heat transfer in rotor−stator systems is known to have a similar dependency on rotational disk speed as systems with a rotating disk in a large medium, although the values obtained in rotor−stator systems are higher, and the transition from laminar to turbulent flow occurs at a different value of Re . , In analogy, the same behavior is expected with mass transfer. At Re < 3 × 10 5 , S h can be described with the theoretical relation for a rotating disk in an infinite medium with laminar flow, which is based on the axial flow of liquid toward the rotor induced by the rotation of the rotor: , S h = 0.620 Re 1 / 2 S c 1 / 3 For turbulent mass transfer toward a free rotating disk, the exponent in Re is commonly 0.9. ,, A widely used correlation is proposed by Daguenet: S h = 0.00707 Re 0.9 S c 1 / 3 …”

Section: Resultsmentioning

confidence: 99%

“… S h as function of Re for a rotating disk in a large medium. The dashed line is the theoretical Sherwood relation for a rotating disk in an infinite medium with laminar flow. , The dashed−dotted line is the Sherwood correlation for turbulent flow for a free rotating disk . The solid line shows the correlation for the transition region between laminar and turbulent .…”

Section: Resultsmentioning

confidence: 99%

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Liquid−Solid Mass Transfer and Reaction in a Rotor−Stator Spinning Disc Reactor

Meeuwse

Lempers

Schaaf

et al. 2010

Ind. Eng. Chem. Res.

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The heterogeneously catalyzed oxidation of glucose is performed in a rotor−stator spinning disk reactor. One side of the rotor is coated with a Pt/C and Nafion catalytic layer, resulting in a liquid−solid interfacial area of 274 mi 2 mR −3. At the lowest rotational disk speed, 26 rad s−1, the reaction is liquid−solid mass transfer limited; at the highest rotational disk speed, 180 rad s−1, the intrinsic kinetics are rate determining. The experimental overall reaction rates are fitted with a resistances in series model, with the activation energy, pre-exponential factor, and volumetric liquid−solid mass transfer coefficient as parameters. The volumetric liquid−solid mass transfer coefficient, k LS a LS, increases from 0.02 to 0.22 mL 3 mR −3 s−1 for a rotational disk speed of 26 to 157 rad s−1. These values are high in comparison to conventional reactors, like packed beds, in spite of the low liquid−solid interfacial area used in this study. The values of the liquid−solid mass transfer coefficient k LS are 1 order of magnitude higher compared to values reported for packed beds. The Sherwood number for the liquid−solid mass transfer in the rotor−stator spinning disk reactor depends on the Reynolds number to the power 2 in the range 1 × 105 < Re < 7 × 105. In this range, the transition of laminar flow to turbulent flow takes place, resulting in a change of the mass transfer mechanism.

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“…The theory of an RD was first applied to study the electrochemical processes using an RDE (Daguenet 1968;Ellison et al 1971;Chin and Litt 1972;Nanis and Klein 1972;Vahdat and Newman 1973;Bruckenstein and Miller 1977;Mohr and Newman 1976;Albery and Bruckenstein 1983;Dong et al 2008), and was later adopted to analyze the chemical dissolution reactions using RDA (Boomer et al 1972;Lund et al 1973, Lund et al 1975Fredd and Fogler 1998;Taylor et al 2004;Alkhaldi et al 2010;Rabie et al 2014;Khalid et al 2015;Aldakkan et al 2018;Hall-Thompson et al 2020;Sayed et al 2020;Kotb et al 2021).…”

Section: Turbulence In the Rotating Disk Apparatusmentioning

confidence: 99%

A Calibrated Computational Fluid Dynamics Model for Simulating the Rotating Disk Apparatus

et al. 2021

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Summary Reaction kinetics between calcite and acid systems have been studied using the rotating disk apparatus (RDA). However, simplifying assumptions have been made to develop the current equations used to interpret RDA experiments to enable solving them analytically in contrast to using numerical methods. Previous work has revealed inadequacies of some of these assumptions, which necessitates the use of a computational fluid dynamics (CFD) model to investigate their impact on the RDA results. The objectives of the current work are to develop a calibrated CFD and proxy model to simulate the reaction in the RDA and use this model to estimate the diffusion coefficient and the reaction rate coefficient of the reaction in the RDA. The present work developed the first calibrated CFD model to determine the diffusion coefficient and the reaction rate coefficient in the RDA with minimum assumptions in the hydrochloric acid (HCl) carbonate reaction. More specifically, the model relaxes the constant fluid properties, infinite acting reactor boundaries, and constant reaction surface area assumptions. The proxy model obtained results in reduced computational time with minimal compromise on accuracy. Finally, the proposed model showed an improvement of 63% in predicting the reaction kinetics between calcite and HCl compared to traditional methods.

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Etude du transport de matiere en solution, a l'aide des electrodes a disque et a anneau tournants

Cited by 36 publications

References 3 publications

Simultaneous Laminar and Turbulent Mass Transfer at a Rotating Disk Electrode

Simultaneous Laminar and Turbulent Mass Transfer at a Rotating Disk Electrode

Liquid−Solid Mass Transfer and Reaction in a Rotor−Stator Spinning Disc Reactor

A Calibrated Computational Fluid Dynamics Model for Simulating the Rotating Disk Apparatus

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