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Relation of turbulent mass transfer to a wall at high Schmidt numbers to the velocity field

Published online by Cambridge University Press:  29 March 2006

Kamalesh K. Sirkar  and
Thomas J. Hanratty
Kamalesh K. Sirkar
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois Present address: Uniroyal Research Center, Wayne, New Jersey.
Thomas J. Hanratty
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois
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Abstract

Turbulent mass transfer to a wall at high Schmidt numbers is controlled by the velocity field within the viscous sublayer. Measurements have been obtained of the root-mean-square fluctuating mass transfer coefficient and the frequency spectrum of the fluctuating mass transfer coefficient for a Schmidt number of about 2300. From an order-of-magnitude analysis it is concluded that flow fluctuations in the direction of mean flow have little effect on the mass transfer fluctuations. A comparison of the mass transfer spectrum with the spectrum of the component of the velocity gradient in the transverse direction sz reveals that the high-frequency portion of the sz spectrum is not effective in transferring mass. Approximate relations between the mass transfer spectrum and the sz spectrum are developed for high frequencies and for low frequencies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 44 , Issue 3 , 26 November 1970 , pp. 589 - 603
Copyright
© 1970 Cambridge University Press

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References

Davenport, W. B. & Root, W. L. 1958 An Introduction to the Theory of Random Signal and Noise. McGraw-Hill.
Gordon, S. L. 1963 M.S. thesis, University of California, Berkeley.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 J. Fluid Mech. 30, 74.
Laufer, J. 1954 NACA TR no. 1174.
Lighthill, M. J. 1950 Proc. Roy. Soc. A 202, 369.
Lin, C. S., Moulton, R. W. & Putnam, G. L. 1953 Ind. Eng. Chem. 43, 146.
Mitchell, J. E. & Hanratty, T. J. 1966 J. Fluid Mech. 26, 19.
Rice, S. O. 1954 Selected Papers on Noise and Stochastic Processes. (Ed. N. Wax) Dover.
Schraub, F. A. & Kline, S. J. 1965 Rep. MD-12, Mech. Eng. Dept. Stanford University.
Shaw, P. V. & Hanratty, T. J. 1964 A.J.Ch.E. J. 10, 47.
Sirkar, K. K. 1969 Ph.D. thesis, University of Illinois.
Sirkar, K. K. & Hanratty, T. J. 1969 Ind. Eng. Chem. Fund. 8, 18.
Sirkar, K. K. & Hanratty, T. J. 1970 J. Fluid Mech. 44, 605.
Son, J. S. & Hanratty, T. J. 1967 A.J.Ch.E. J. 13, 68.