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Effect of surface contamination on interfacial mass transfer rate

Published online by Cambridge University Press:  29 September 2017

J. G. Wissink Open the ORCID record for J. G. Wissink [Opens in a new window] ,
H. Herlina ,
Y. Akar  and
M. Uhlmann Open the ORCID record for M. Uhlmann [Opens in a new window]
J. G. Wissink*
Affiliation:
Department of Mechanical, Aerospace and Civil Engineering, Brunel University London, Kingston Lane, Uxbridge UB8 3PH, UK
H. Herlina
Affiliation:
Institute for Hydromechanics, Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany
Y. Akar
Affiliation:
Department of Mechanical, Aerospace and Civil Engineering, Brunel University London, Kingston Lane, Uxbridge UB8 3PH, UK
M. Uhlmann
Affiliation:
Institute for Hydromechanics, Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany
*
†Email address for correspondence: jan.wissink@brunel.ac.uk
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Abstract

The influence of surface contamination upon the mass transfer rate of a low diffusivity gas across a flat surface is studied using direct numerical simulations. The interfacial mass transfer is driven by isotropic turbulence diffusing from below. Similar to Shen et al. (J. Fluid Mech., vol. 506, 2004, pp. 79–115) the surface contamination is modelled by relating the normal gradient of the horizontal velocities at the top to the horizontal gradients of the surfactant concentrations. A broad range of contamination levels is considered, including clean to severely contaminated conditions. The time-averaged results show a strong correlation between the gas transfer velocity and the clean surface fraction of the surface area. In the presence of surface contamination the mass transfer velocity $K_{L}$ is found to scale as a power of the Schmidt number, i.e. $Sc^{-q}$ , where $q$ smoothly transitions from $q=1/2$ for clean surfaces to $q=2/3$ for very dirty interfaces. A power law $K_{L}\propto Sc^{-q}$ is proposed in which both the exponent $q$ and the constant of proportionality become functions of the clean surface fraction.

JFM classification

Geophysical and Geological Flows: Air/sea interactions Turbulent Flows: Turbulent convection Mixing: Turbulent mixing

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Papers
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Journal of Fluid Mechanics , Volume 830 , 10 November 2017 , pp. 5 - 34
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© 2017 Cambridge University Press 

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