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Hydrodynamic and mass transport phenomena in a multiple-electrode magnetoelectrolytic cell

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Abstract

The effect of imposing a uniform magnetic field on an electrolytic cell with multiple parallel-plate electrodes is analysed in terms of hydrodynamic and mass transport phenomena with particular regard to cell design in the laminar flow regime.

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Abbreviations

a :

electrode length

B :

magnetic flux density

b :

electrode separation distance

d :

electrode height

d e :

equivalent diameter =4bd/(b+2d)

F :

MHD body force density =JB

f c :

liquid head loss factor in curvature

g :

acceleration due to gravity

h c :

liquid head loss due to curvature

h f :

liquid head loss due to friction

h M :

liquid head generated by the MHD body force

J :

magnitude of current density

(Pe):

Peclet number = (Re)(Sc)

r c :

curvature of the path of the floating particle on the electrolyte surface

(Ra):

Rayleigh number = (Sc)(Gr) [(Gr): Grashof number]

(Re):

Reynolds number

S :

slope of an open-flow channel

(Sc):

Schmidt number

(Sh):

Sherwood number, based on the electrode height as characteristic length

T p :

time required for the completion of a vortex motion about the electrode for a floating particle

¯V :

average electrolyte velocity

¯V s :

average surface velocity in electrolyte

γ :

aspect ratio =b/d

μ :

dynamic viscosity of electrolyte

v :

kinematic viscosity of electrolyte

ρ :

density of electrolyte

CVD:

cell voltage drop

MHD:

magnetohydrodynamic

References

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Author notes

  1. S. Mohanta

    Present address: HSA Reactors Ltd., Rexdale, Ontario, Canada

Authors and Affiliations

  1. Department of Chemical Engineering, University of Waterloo, Canada

    S. Mohanta & T. Z. Fahidy

Authors
  1. S. Mohanta
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  2. T. Z. Fahidy
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Mohanta, S., Fahidy, T.Z. Hydrodynamic and mass transport phenomena in a multiple-electrode magnetoelectrolytic cell. J Appl Electrochem 8, 5–10 (1978). https://doi.org/10.1007/BF00615387

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  • DOI: https://doi.org/10.1007/BF00615387

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