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Mass transfer between rough surfaces and solutions containing drag-reducing polymers

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Abstract

Rates of electrochemical mass transfer were measured between finned rotating cylinders and solutions containing drag-reducing polymers. Variables studied were: Reynolds number, polymer concentration and fin height. Polyox and carboxymethyl cellulose (CMC) were used as drag-reducing polymers with concentrations ranging from 10–100 ppm for polyox and from 10–500 ppm for CMC. Cylinders with longitudinal fins ofe/d ranging from 0·0185–0·075 were used. Reynolds number was varied between 1000–10000. It was found that the presence of fins on the cylinder surface reduces the adverse effect of the polymer on the rate of mass transfer, the higher the fin height the lower is the ability of the polymer to reduce the rate of mass transfer. Mass transfer data for solutions containing polyox were correlated by the equation: (St) = 0.765(Re)♪-0.36(Sc)−0.669(e/d)0.36 Mass transfer data for solutions containing CMC were correlated by the equation: (St) = 1.704(Re)−0.36(Sc)−0.75(e/d)0.315

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Abbreviations

I L :

limiting current density based on the projected area of the electrode (A cm−2)

K :

mass transfer coefficient (cm s−1)

Z :

number of electrons involved in the electrode reaction

C :

ferricyanide concentration (mol cm−3)

F :

Faraday's constant

u :

dynamic viscosity (g cm−1 s−1)

ρ :

solution density (g cm−3)

ω :

angular velocity (rad s−1)

V :

peripheral velocity (cm s−1)

D :

diffusion coefficient of ferricyanide ion (cm2 s−1)

d :

cylinder diameter (cm)

e :

fin height (cm)

(Sc):

u/(ρD), Schmidt number

(Re):

ρvd/u, Reynolds number

(St):

K/V, Stanton number

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Author notes

  1. A. Abdel Khalik

    Present address: Chemistry Department, Sulaimaniyah University, Iraq

  2. A. M. Abdallah

    Present address: Atomic Energy Establishment, Anshas, Egypt

Authors and Affiliations

  1. Chemical Engineering Department, Faculty of Engineering, Alexandria University, Alexandria, Egypt

    G. H. Sedahmed, A. Abdel Khalik & A. M. Abdallah

  2. Chemical Engineering Division, Argonne National Laboratory, Argonne, Illinois, USA

    M. M. Farahat

Authors
  1. G. H. Sedahmed
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  2. A. Abdel Khalik
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  3. A. M. Abdallah
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  4. M. M. Farahat
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Sedahmed, G.H., Abdel Khalik, A., Abdallah, A.M. et al. Mass transfer between rough surfaces and solutions containing drag-reducing polymers. J Appl Electrochem 9, 567–572 (1979). https://doi.org/10.1007/BF00610943

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