The accuracy and parametric sensitivity of algebraic models for turbulent flow and convection

International Journal of Heat and Mass Transfer

Volumn 48, Issue 25-26, 2005, Pages 5488-5503

  Churchill, Stuart W ^a   Yu, Bo ^b   Kawaguchi, Yasuo ^c  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b CHINA UNIVERSITY OF PETROLEUM   (China)

^c TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DATA ACQUISITION; FUNCTIONS; HEAT CONVECTION; MATHEMATICAL MODELS; SHEAR STRESS;

ALGEBRAIC MODELS; CONCENTRIC CIRCULAR ANNULI;

TURBULENT FLOW;

CONVECTION; HEAT TRANSFER; MATHEMATICAL MODELING; SHEAR STRESS; TURBULENT FLOW;

EID: 27844552321     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2005.06.023     Document Type: Article

References (46)

1. Boussinesq, Essai sur la théorie des eaux courantes. Mém. presents divers Savants Acad. Sci. Inst. Fr. 23 (1877) 1-680.
2. L. Prandtl Bericht über Untersuchungen zur ausgebildeten Turbulenz Zeit. angew. Math Mech. 6 1925 136 139
3. R.G. Deissler, Analytical and experimental investigation of adiabatic turbulent flow in smooth tubes, National Advisory Committee for Aeronautics TN2138, Washington, DC, 1950.
4. R.G. Deissler, Analysis of turbulent heat transfer and friction in smooth tubes at high Prandtl and Schmidt numbers, National Advisory Committee for Aeronautics Report 1210, Washington, DC, 1955.
5. Th. von Kármán, Mechanische Ähnlichkeit und Turbulenz, in: Proc. Third Int. Congress Applied Mechanics, Stockholm, Part I, 85-92, 1930.
6. A.N. Kolmogorov The local structure of turbulence in an incompressible viscous fluid at very large Reynolds numbers Doklady AN USSR 30 1941 301 304
7. L. Prandtl Über ein neues Formelsystem für die ausgebildete Turbulenz Nachr. Ges. Wiss. Göttingen Math. Phys. Klasse 1945 6 9
8. G.K. Batchelor The Theory of Homogeneous Turbulence 1953 Cambridge University Press Cambridge
9. B.E. Launder, and D.B. Spalding Mathematical Models of Turbulence 1972 Academic Press London
10. K. Hanjalić, and B.E. Launder A Reynolds stress model of turbulence and its application to thin shear flows J. Fluid. Mech. 52 1972 609 638
11. S.W. Churchill New simplified models and formulations for turbulent flow and convection AIChE J. 43 5 1997 1125 1140
12. S.W. Churchill, and C. Chan Theoretically based correlating equations for the local characteristics of fully developed turbulent flow in round tubes and between parallel plates Ind. Eng. Chem. Res. 34 1995 1332 1341
13. S.W. Churchill, and R. Usagi A general expression for the correlation of rates of transfer and other phenomena AlChE J. 18 1972 1121 1128
14. E.V. Murphree Relation between heat transfer and fluid friction Ind. Eng. Chem. 24 1932 726 736
15. E.R. van Driest On turbulent flow near a wall J. Aeronaut. Sci. 1956 1007 1011
16. L. Prandtl Neuer ergebnisse der turbulenzforschung Z. Ver. Deutsch. Ing. 77 1933 105 114
17. C.B. Millikan, A critical discussion of turbulent flow in channels and circular tubes, in: Proc. Fifth Int. Congress Applied Mechanics, Cambridge, MA, 1938, pp. 386-392.
18. M.V. Zagarola, Mean-flow scaling of turbulent pipe flow, Ph.D. Thesis, Princeton University, Princeton, NJ, 1996.
19. G.I. Barenblatt, and V.M. Prostokushin Scaling laws for fully developed turbulent shear flows. Part 2. Processing and experimental data J. Fluid Mech. 248 1993 521 529
20. J.O. Hinze, Turbulent pipe flow, in: Méchanique de la turbulence, editions CNRS, Paris, 1963, pp. 130-165.
21. A.L. MacLeod, Liquid turbulence in a gas-liquid absorption system, Ph.D. Thesis, Carnegie Institute of Technology, Pittsburgh, PA, 1951.
22. G.A. Whan, and R.R. Rothfus Characteristics of transition flow between parallel plates AIChE J. 5 1959 204 208
23. T. Wei, and W.W. Willmarth Reynolds-number effects on the structure of a turbulent channel flow J. Fluid Mech. 204 1980 57 95
24. S.W. Churchill, M. Shinoda, and N. Arai A new concept of correlation for turbulent convection Therm. Sci. Eng. 8 4 2000 49 65
25. S.N. Danov, N. Arai, and S.W. Churchill Exact formulations and nearly exact numerical solutions for convection in turbulent flow between parallel plates Int. J. Heat Mass Transfer 43 2000 2767 2777
26. M. Kaneda, B. Yu, H. Ozoe, and S.W. Churchill The characteristics of turbulent flow and convection in concentric circular annuli. Part I. Flow Int. J. Heat Mass Transfer 46 2003 5045 5057
27. J. Kampé de Fériet Sur le l'écoulement d'un fluide visqueux incompressible entre deux plaques parallél indefinies La Houille Blanche 3 1948 509 517
28. S.I. Pei On the flow between parallel plates J. Appl. Mech. 20 1953 109 114
29. S.I. Pei On turbulent flow in circular pipe J. Franklin Inst. 236 1953 337 352
30. R.B. Bird, W.E. Stewart, and E.N. Lightfoot Transport Phenomena 1960 John Wiley & Sons New York p. 160
31. J. Nikuradse Gesetzmassigkeiten der turbulenten Strömung in glatten Rohren Ver. Deutsch. Ing. Forschungsheft 356 1932
32. J. Rutledge, and C.A. Sleicher Direct simulation of flow and heat transfer in a channel. Part I: Smooth walls Int. J. Numer. Methods Fluids 16 1993 1051 1078
33. B.J. McKeon, J. Li, W. Jiang, J.F. Morrison, and A.J. Smits Further observations on the mean velocity distribution in fully developed pipe flow J. Fluid Mech. 511 2004 41 44
34. W.M. Kays, and K.T. Leung Heat transfer in annular passages- hydrodynamically developed turbulence with arbitrarily prescribed heat flux Int. J. Heat Mass Transfer 6 1963 537 557
35. K. Rehme Turbulent flow in smooth concentric annuli with small radius ratios J. Fluid Mech. 64 1974 263 287
36. B. Yu, H. Ozoe, and S.W. Churchill The characteristics of fully developed turbulent convection in a round tube Chem. Eng. Sci. 56 2001 1781 1800
37. S.W. Churchill, and S.C. Zajic Prediction of fully developed convection with minimal explicit empiricism AIChE J. 48 5 2002 927 940
38. V. Yahkot, S.A. Orsag, and A. Yahkot Heat transfer in turbulent fluids-1. Pipe flow Int. J. Heat Mass Transfer 30 1987 15 22
39. T. Elperin, N. Kleeorin, and R. Rogachevskii I. Isotropic and anisotropic spectra of passive scalar fluctuations in turbulent fluid flow Phys. Rev. E 53 1996 3431 3441
40. W.B. Kays Turbulent Prandtl-Where are we? J. Heat Transfer, Trans. ASME 116 1994 284 295
41. S.W. Churchill A reinterpretation of the turbulent Prandtl number Ind. Eng. Chem. Res. 41 2002 6393 6401
42. M. Jischa, and H.B. Rieke About the prediction of turbulent Prandtl and Schmidt numbers from modified transport equations Int. J. Heat Mass Transfer 22 1979 1547 1555
43. B. Yu, Y. Kawaguchi, M. Kaneda, H. Ozoe, and S.W. Churchill The characteristics of turbulent flow and convection in concentric circular annuli. Part II. Uniform heating on the inner surface Int. J. Heat Mass Transfer 48 2005 621 634
44. B. Yu, Y. Kawaguchi, M. Kaneda, H. Ozoe, and S.W. Churchill The characteristics of turbulent flow and convection in concentric circular annuli. Part III. Alternative thermal boundary conditions Int. J. Heat Mass Transfer 48 2005 635 646
45. B. Yu, Y. Kawaguchi, M. Kaneda, H. Ozoe, and S.W. Churchill The characteristics of turbulent flow and convection in concentric circular annuli. Part IV. Generalizations Int. J. Heat Mass Transfer 48 2005 3057 3072
46. H. Notter, and C.A. Sleicher A solution to the turbulent Graetz problem-III. Fully developed and entry region heat transfer rates Chem. Eng. Sci 27 1972 2073 2093