Molecular diffusion in the laminar sub-layer during turbulent flow in a smooth tube

Chemical Engineering Science

Volumn 59, Issue 6, 2004, Pages 1191-1197

  Huang, C R ^a   Denny, A F ^a   Loney, N W ^a  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Airy function; Diffusion; Mass transfer coefficient; Mathematical; Modeling; Turbulent flow

Indexed keywords

CORRELATION THEORY; DIFFUSION; LAMINAR FLOW; REYNOLDS NUMBER;

MOLECULAR DIFFUSION; SCHMIDT NUMBER;

TURBULENT FLOW;

MASS TRANSFER; MATHEMATICAL MODELING; MOLECULAR DIFFUSION; REYNOLDS NUMBER; TURBULENT FLOW;

EID: 16544374185     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2003.10.026     Document Type: Article

References (26)

1. Abramowitz M. Stegun I.A. Handbook of Mathematical Functions 1968 Dover New York
2. Bird R.B. Stewart W.E. Lightfoot E.N. Transport Phenomena 1960 Wiley New York
3. Bird R.B. Stewart W.E. Lightfoot E.N. Transport Phenomena 2nd Edition 2001 Wiley New York
4. Campbell J.A. Hanratty T.J. Mass transfer between a turbulent fluid and a solid boundary: linear theory A.I.Ch.E. Journal 28 1982 988
5. Campbell J.A. Hanratty T.J. Turbulent velocity fluctuations that control mass transfer to a solid boundary A.I.Ch.E. Journal 29 1983 215
6. Colburn A.P. Relation between mass transfer (absorption) and fluid friction IE-C 22 1930 967
7. Dankwerts P.V. Significance of liquid-film coefficients in gas absorption Industrial and Engineering Chemistry 43 1951 1460
8. Friend W.L. Metzner A.B. Turbulent heat transfer inside tubes and the analogy among heat, mass and momentum transfer A.I.Ch.E. Journal 4 1958 393
9. Higbie R. Transactions of the American Institute of Chemical Engineers 31 1935 365
10. Hughmark G.A. Heat, mass and momentum transport with turbulent flow in smooth and rough pipe A.I.Ch.E. Journal 21 1975 1033
11. Hughmark G.A. Wall region mass transfer for large Schmidt numbers in turbulent pipe flow A.I.Ch.E. Journal 23 1977 601
12. Lewis W.K. Whitman W.G. Two resistance theory IE-C 16 1924 1215
13. Loney N.W. Applied Mathematical Methods for Chemical Engineers 2000 CRC Press Boca Raton
14. Loney N.W. On the use of the residue theorem to invert Laplace transforms Chemical Engineering Education 35 1 2001 22
15. Meyerink E.S.C. Friedlander S.K. Diffusion and diffusion controlled reactions in fully developed turbulent pipe flow Chemical Engineering Science 17 1962 121
16. Mickley H.S. Sherwood T.K. Reed C.E. Applied Mathematics in Chemical Engineering 1957 McGraw-Hill New York
17. Na Y. Papavassiliou D.V. Hanratty T.J. Use of direct numerical simulation to study the effect of Prandtl number on temperature fields International Journal of Heat and Fluid Flow 20 1999 187
18. Papavassiliou Hanratty Transport of passive scalar in a turbulent channel flow International Journal of Heat and Mass Transfer 40 6 1997 1303-1311
19. Plawsky J.L. Transport Phenomena Fundamentals 2001 Marcel Dekker New York
20. Popovich A.T. Hummel R.L. Experimental study of the viscous sub-layer in turbulent pipe flow A.I.Ch.E. Journal 13 1967 854
21. Shaw D.A. Hanratty T.J. Turbulent mass transfer rates to a wall for large Schmidt Numbers A.I.Ch.E. Journal 23 1977 28
22. Sherwood, T.K., 1940. Mass transfer and friction in turbulent flow. Fluid Mechanics Symposium, University of Pennsylvania, PA, September 18, p. 817.
23. Son J.S. Hanratty T.J. Limiting relation for the Eddy diffusivity close to a wall A.I.Ch.E. Journal 13 1967 689
24. Van Shaw P. Hanratty T.J. Fluctuations in the local rate of turbulent mass transfer to a pipe wall A.I.Ch.E. Journal 10 1964 475
25. White F.M. Viscous Fluid Flow 1991 McGraw-Hill New York
26. Wolfram, S.M., 1996. Mathematica Book Cambridge. University Press.