Abstract
A new theoretical expression for tubulent mass transfer from a rotating cylinder has been proposed using Levich's three-zone model. The predictions of this model, which has no adjustable parameters, were compared with available experimental data and with other correlations for Newtonian fluids and the agreement was found very satisfactory. Equally good agreement was found between the predictions of our model and the available data for mass transfer from a rotating cylinder under the conditions of maximum drag reduction.
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Abbreviations
- A :
-
constant in Equation 18
- D :
-
diffusivity
- D E :
-
eddy diffusivity
- d :
-
diameter of cylinder
- f :
-
friction factor
- h :
-
heat transfer coefficient
- k :
-
mass transfer coefficient
- l :
-
mixing length
- l c :
-
modified mixing length defined by Equation 19
- Nu :
-
=hd/α H, Nusselt number
- Pr :
-
=ν/α H, Prandtl number
- Re :
-
=dU/ν, Reynolds number
- Sc :
-
=ν/D, Schmidt number
- Sh :
-
=kd/D, Sherwood number
- U :
-
velocity at the wall
- υ 0 :
-
friction velocity
- υ ′y :
-
root mean square ofy-directional fluctuation velocities
- y :
-
distance perpendicular from surface
- α :
-
constant in Equation 4
- α H :
-
thermal diffusivity
- β :
-
value of dimensionless laminar sublayer thickness
- δ 1 :
-
thickness of laminar sublayer
- α 2 :
-
thickness of diffusion sublayer
- η :
-
fraction in Equation 3
- ν :
-
kinematic viscosity
- ρ :
-
density
- τ 0 :
-
tangential stress exerted on surface
- D :
-
dilute polymer solution
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Kawase, Y., Ulbrecht, J.J. Mass transfer from cylinders rotating in Newtonian fluids and dilute polymer solutions. J Appl Electrochem 13, 289–293 (1983). https://doi.org/10.1007/BF00941600
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DOI: https://doi.org/10.1007/BF00941600