On the Prandtl or Schmidt number dependence of the turbulent heat or mass transfer coefficient

Chemical Engineering Science

Volumn 59, Issue 3, 2004, Pages 543-555

  Mitrovic, Bojan M ^a   Le, Phuong M ^a   Papavassiliou, Dimitrios V ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

Dispersion; Heat transfer; Lagrangian methods; Modeling; Simulation; Turbulence

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; HEAT TRANSFER; MASS TRANSFER; NUSSELT NUMBER; REYNOLDS NUMBER;

SCHMIDT NUMBERS; THERMAL MARKERS;

TURBULENT FLOW;

DIRECT NUMERICAL SIMULATION; DISPERSION; HEAT TRANSFER; MASS TRANSFER; PRANDTL NUMBER; TURBULENT FLOW;

EID: 0842322852     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2003.09.039     Document Type: Article

References (53)

1. Belov, V.M., 1976. Experimental investigation of heat transfer in a turbulent boundary layer with a step-like change in thermal boundary conditions on the wall. Thesis (Cand.Sci.), The Bauman Higher Technical College.
2. Bird, R.B., Stewart, W.E., Lightfoot, E.N., 1960. Transport Phenomena. Wiley, New York, p. 399, 403, 361.
3. Campbell J.A. Hanratty T.J. Turbulent velocity fluctuations that control mass transfer to a solid boundary AIChE Journal 29 1983 215-221
4. Cermak J.E. Lagrangian similarity hypothesis applied to diffusion in turbulent shear flow Journal of Fluid Mechanics 15 1963 29-64
5. Churchill S.W. Progress in the thermal sciences: AICHE Institute Lecture AIChE Journal 46 9 2000 1704-1722
6. Churchill S.W. Usagi R. A general expression for the correlation of rates of transfer and other phenomena AIChE Journal 18 1972 1121
7. Durbin P.A. A stochastic model for two-particle dispersion and concentration fluctuations in homogeneous turbulence Journal of Fluid Mechanics 100 1980 279-302
8. Einstein A. Uber die von der molekular-kinetischen Theorie der Warme geforderte Bewegung von in ruhenden Flussigkeiten suspendierten Teilchen Annales de Physique 17 1905 549
9. Fulachier, L., 1972. Contribution a l'etude des analogies des champs dynamique et thermique dans une couche limite turbulent. Effet de l'aspiration. These (Doct.Sci), Phys. Univ. Provence, Marseille.
10. Gad-El-Hak M. Bandyopandhay P.R. Reynolds number effects in wall-bounded turbulent flows Applied Mechanics Review 478 1994 307-365
11. Gowen R.A. Smith J.W. The effect of the Prandtl number on temperature profiles for heat transfer in turbulent pipe flow Chemical Engineering Science 22 1967 1701-1711
12. Guenther A. Papavassiliou D.V. Warholic M.D. Hanratty T.J. Turbulent flow in a channel at low Reynolds number Experiments in Fluids 25 1998 503-511
13. Hanratty T.J. Heat transfer through a homogeneous isotropic turbulent field AIChE Journal 2 1 1956 42-45
14. Hinze, J.O., 1987. Turbulence (2nd Edition). McGraw-Hill, New York, p. 748.
15. Hubbard D.W. Lightfoot E.N. Correlation of heat and mass transfer in turbulent data for high schmidt and reynolds numbers Industrial and Engineering Chemistry Fundamentals 5 1966 370
16. Hunt J.C.R. Turbulent diffusion from sources in complex flows Annual Reviews in Fluid Mechanics 17 1985 447-485
17. Incropera F.P. Kerby J.S. Moffat D.F. Ramadhyani S. Convection heat transfer from discrete heat sources in a rectangular channel International Journal of Heat and Mass Transfer 29 7 1986 1051-1058
18. Kader B.A. Temperature and concentration profiles in fully turbulent boundary layers International Journal of Heat and Mass Transfer 29 9 1981 1541-1544
19. Kasagi N. Shikazono N. Contribution of direct numerical simulation to understanding and modeling turbulent transport Proceedings of the Royal Society London, Series A 451 1995 257-292
20. Kasagi N. Tomita Y. Kuroda A. Direct numerical simulation of passive scalar field in a turbulent channel flow Transactions of ASME 114 1992 598
21. Kawamura H. Ohsaka K. Abe H. Yamamoto K. DNS of turbulent heat transfer in channel flow with low to medium-high Prandtl number fluid International Journal of Heat and Fluid Flow 19 1998 482-491
22. Kim, J., Moin, P., 1989. Transport of passive scalars in a turbulent channel flow. In: Andre, J.C., Cousteix, J., Durst, F., Launder, B.E., Schmidt, F.W., Whitelaw, J.H. (Eds.), Turbulent Shear Flows, Vol. VI, Springer, Berlin, pp. 85-96.
23. Kontomaris, K., 1991. Point source dispersion in a direct numerical simulation of turbulent channel flow. University of Illinois, Ph.D. Dissertation, Urbana.
24. Kontomaris K. Hanratty T.J. McLaughlin J.B. An algorithm for tracking fluid particles in a spectral simulation of turbulent channel flow Journal of Computational Physics 103 1993 231-242
25. Levich V.G. Physicochemical Hydrodynamics 1962 Prentice-Hall Englewood Cliffs, NJ
26. Lyons S.L. Hanratty T.J. McLaughlin J.B. Direct numerical simulation of passive heat transfer in a turbulent channel flow International Journal of Heat and Mass Transfer 34 4/5 1991 1149-1161
27. Mito Y. Hanratty T.J. Lagrangian stochastic simulation of turbulent dispersion of heat markers in a channel flow International Journal of Heat and Mass Transfer 46 6 2003 1063-1073
28. Mitrovic B.M. Papavassiliou D.V. Transport properties for turbulent dispersion from wall sources AIChE Journal 49 5 2003 1095-1108
29. Monin, A.S., Yaglom, A.M., 1965. Statistical Fluid Mechanics, Vol. I, Mechanics of Turbulence, Cambridge, MA; The MIT Press, pp. 279-282.
30. Na Y. Hanratty T.J. Limiting behavior of turbulent scalar transport close to a wall International Journal of Heat and Mass Transfer 43 10 2000 1749-1758
31. 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 3 1999 187-195
32. Neumann J.C. Transfert de chalcur en regime turbulent pour les grands nombers de Prandtl Information Aeraulique et Thermique 5 1968 4-20
33. Papavassiliou D.V. Turbulent transport from continuous sources at the wall of a channel International Journal of Heat and Mass Transfer 45 17 2002 3571-3583
34. Papavassiliou D.V. Scalar dispersion from an instantaneous line source at the wall of a turbulent channel for medium and high Prandtl number fluids International Journal of Heat and Fluid Flow 23 2 2002 161-172
35. Papavassiliou D.V. Hanratty T.J. The use of Lagrangian methods to describe turbulent transport of heat from the wall Industrial and Engineering Chemistry Research 34 1995 3359-3367
36. Papavassiliou D.V. Hanratty T.J. Transport of a passive scalar in a turbulent channel flow International Journal of Heat and Mass Transfer 40 6 1997 1303-1311
37. Perepelitsa, B.V., 1971. Study of hydrodynamics and heat transfer in turbulent flow of water containing high-molecular polymers. Thesis (Cand.Sci.), Institute of Thermoplastics, Acad. Sci. of the U.S.S.R.
38. Petty C.A. A statistical theory for mass transfer near interfaces Chemical Engineering Science 30 1975 413-418
39. Ponoth S.S. McLaughlin J.B. Numerical simulation of mass transfer for bubbles in water Chemical Engineering Science 55 2000 1237-1255
40. Pope S.B. PDF methods for turbulent reactive flows Progress in Energy Combustion Science 11 1985 119-192
41. Saffman P.G. On the effect of the molecular diffusivity in turbulent diffusion Journal of Fluid Mechanics 8 1960 273-283
42. Schiesser, W.E., Silebi, C.A., 1997. Computational Transport Phenomena. Cambridge University Press, New York, p. 167.
43. Shaw D.A. Hanratty T.J. Turbulent mass transfer rates to a wall for large Schmidt numbers AIChE Journal 23 1 1977 28-37
44. Son J.S. Hanratty T.J. Limiting relation for the eddy diffusivity close to a wall AIChE Journal 13 1967 689
45. Taccoen, L., 1968. Mesure des profils de temperature dans un ecoulement turbulent d'air dans un tube (fluide incompressible), Commun. A l'ecole d'ete intern. Sur le transfer de chaleur et de masse. Herceg-Novi, Yugoslavie.
46. Taranov, G.S., 1970. Study of the statistical characteristics of velocity and temperature fields in turbulent flow with a transverse shear. Thesis (Cand.Sci.), Institute of Phys. Atmos., Acad. Sci. of the U.S.S.R.
47. Taylor G.I. Diffusion with continuous movements Proceedings of the London Mathematical Society 24A 1921 196-212
48. Teitel M. Antonia R.A. Heat transfer in fully developed turbulent channel flow: comparison between experiment and direct numerical simulations International Journal of Heat and Mass Transfer 36 6 1993 1701-1706
49. Teitel M. Antonia R.A. A step change in wall heat flux in a turbulent channel flow International Journal of Heat and Mass Transfer 36 6 1993 1707-1709
50. Tiselj, I., 2002. Personal communication.
51. Tiselj I. Pogrebnyak E. Changfeng L. Mosyak A. Hetsroni G. Effect of wall boundary condition on scalar transfer in a fully developed turbulent flume Physics of Fluids 13 4 2001 1028-1039
52. Van Shaw, P., 1963. A study of the fluctuations and the time average of the rate of turbulent mass transfer to a pipe wall. Ph.D. Thesis, Univ. Ill., Urbana.
53. Zhukauskas, A., Shlanchauskas, A., 1973. Heat Transfer in a Turbulent Liquid Flow. Mintis, Vilnius.