Velocity redistribution in curved rectangular channels

Journal of Fluid Mechanics

Volumn 107, Issue HY10, 1981, Pages 423-439

  Vriend, H J De ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

LAMINAR FLOW; PIPES; SIDEWALL EFFECTS; VELOCITY REDISTRIBUTION;

FLUID MECHANICS;

FLOW OF FLUIDS;

VRIEND, H.J. DE;

EID: 0019728055     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112081001833     Document Type: Article

References (42)

1. Adler, M. 1934 Strömung in gekrümmten Rohren. Z. angew. Math. Mech. 257–275.
2. Bathurst, J. C., Thorne, C. R. & Hey, R. D. 1979 Secondary flow and shear stress at river bends. Proc. A.S.C.E., J. Hydraulic Div. 105 (), 1277–1293.
3. Böss, P. 1938 In Wasser- und Geschiebebewegung in gekrümmten Flusstrecken (ed. H. Wittman & P. Böss). Springer.
4. Boussinesq, J. 1868 Mémoire sur l'influence de frottement dans les mouvements réguliers des fluïdes. J. Math. pures et appl. (2ème série) 13, 413000.
5. Cheng, K. C. & Akiyama, M. 1970 Laminar forced convection heat transfer in curved rectangular channels. Int. J. Heat Mass Transfer 13, 471–490.
6. Cheng, K. C., Lin, R.-C. & Ou, J.-W. 1976 Fully developed laminar flow in curved rectangular channels. Trans. A.S.M.E. I, J. Fluids Engng 98, 41–48.
7. Choudhary, U. K. & Narasimhan, D. 1977 Flow in 180 open channel rigid boundary bends. Proc. A.S.C.E., J. Hydraulic Div. 103 (HY6), 651–657.
8. Collins, W. M. & Dennis, S. C. R. 1975 The steady motion of a viscous fluid in a curved tube. Quart. J. Mech. Appl. Math. 28, 133–156.
9. Collins, W. M. & Dennis, S. C. R. 1976 Steady flow in a curved tube of triangular cross-section. Proc. Roy. Soc. A 352, 189–211.
10. Cuming, H. G. 1952 The secondary flow in curved pipes. Aero. Res. Center R. & M. 2880.
11. Dean, W. R. 1928 The stream-line motion of fluid in a curved pipe. Phil. Mag. S7, 5, 673–695.
12. Dean, W. R. 1928 Fluid motion in a curved channel. Proc. Roy. Soc. A 121, 402–420.
13. De Vriend, H. J. 1973 Theory of viscous flow in curved shallow channels. Comm. on Hydraulics, Delft Univ. of Techn., Rep. 71–81. (Also: Proc. Int. Symp. River Mech., Bankok, 1973, paper A17.)
14. De Vriend, H. J. 1976 A mathematical model of steady flow in curved shallow channels. Comm. on Hydraulics, Delft Univ. of Techn., Rep. 76–81. (Also: J. Hydraulic Res. 15, 1917, 37–54.)
15. De Vriend, H. J. 1978 Fully developed laminar flow in curved ducts. Lab. Fluid Mech., Delft Univ. Tech., Int. rep. 2–78.
16. De Vriend, H. J. 1979 Flow measurements in a curved rectangular channel. Lab. Fluid Mech., Delft Univ. Tech., Int. rep. 9–79.
17. De Vriend, H. J. & Koch, F. G. 1977 Flow of water in a curved open channel with a fixed plane bed. Delft Hydr. Lab., Delft Univ. of Tech., TOW-rep. R657-VI/M1415-I.
18. Einstein, H. A. & Harder, J. A. 1954 Velocity distribution and boundary layer at channel bends. Trans. Am. Geophys. Un. 35, 114–120.
19. Engelund, F. 1974 Flow and bed topography in channel bends. Proc. A.S.C.E., J. Hydraulic Div. 100 (HY11). 1631–1648.
20. Falcón, M. A. 1979 Analysis of flow in alluvial channel bends. Ph.D. thesis, Univ. of Iowa.
21. Görtler, H. 1940 Über eine dreidimensionale Instabilität laminarer Grenzschichten an konkaven Wänden. Nachr. Wiss. Ges. Göttingen, Math. Phys. Klasse, Neue Folge 2, no. 1.
22. Gottlieb, L. 1976 Three-dimensional flow pattern and bed topography in meandering channels. I.S.V.A., Techn. Univ. of Denmark, Series Paper no. 11.
23. It, H. 1951 Theory on laminar flow through curved pipes of elliptic and rectangular cross-section. Rep. Inst. High Speed Mech. Tohoku Univ. 1, 1–16.
24. Joseph, B., Smith, E. P. & Adler, R. J. 1975 Numerical treatment of laminar flow in helically coiled tubes of square cross-section; Part I — Stationary helically coiled tubes. A.I.Ch.E.J. 21, 965–974.
25. Kalkwijk, J. P. T. & de Vriend, H. J. 1980 Computation of the flow in shallow river bends. J. Hydraulic Res. 18, no. 4.
26. Kamiyama, S. 1966 Two dimensional potential theory on flow through bend of arbitrary profile (Report 2). Rep. Inst. High Speed Mech. Tohoku Univ. 18, no. 172, 25–42.
27. Leopold, L. B., Wolman, M. G. & Miller, J. P. 1964 Fluvial Processes in Geomorphology. San Francisco.
28. Leschziner, M. & Rodi, W. 1978 Calculation of three-dimensional turbulent flow in strongly curved open channels. Univ. Karlsruhe, Rep. SFB80/T/126. (Also: Proc. A.S.C.E., J. Hydraulic Div. 105 (HY10), 1297–1315, 1979.)
29. Mori, Y., Uchida, U. & Ukon, T. 1971 Forced convective heat transfer in a curved channel with a square cross-section. Int. J. Heat Mass Transfer 14, 1787–1804.
30. Muramoto, Y. 1965 Flow through curved open channels, Part I — On characteristics of upper layer in fully developed region. Bull. Dis. Prev. Res. Inst. 14, pt. 2, 1–14.
31. Patankar, S. V., Pratap, V. S. & Spalding, D. B. 1974 Prediction of laminar flow and heat transfer in helically coiled pipes. J. Fluid Mech. 62, 539–551.
32. Patankar, S. V., Pratap, V. S. & Spalding, D. B. 1975 Prediction of turbulent flow in curved pipes. J. Fluid Mech. 67, 583–595.
33. Perkins, H. J. 1970 The formation of streamwise vorticity in turbulent flow. J. Fluid Mech. 44, 721–740.
34. Prandtl, L. 1952 Essentials of Fluid Dynamics. London: Blackie.
35. Pratap, V. S. & Spalding, D. B. 1975 Numerical computations of the flow in curved ducts. Aero. Quart. 26, 219–228.
36. Rao, K. V. 1975 Secondary flow in a curved channel as revealed by a laser doppler anemometer. Proc. LDA-Symp. Copenhagen, pp. 710–718.
37. Reynolds, A. J. 1974 Turbulent Flows in Engineering. Wiley.
38. Rozovskii, I. L. 1961 Flow of water in bends of open channels. Israel Program for Scientific Translation, Jerusalem (in Russian, 1957).
39. Schlichting, H. 1951 Boundary Layer Theory. Karlsruhe: Braun. (English edition; McGraw-Hill, 1968.
40. Taylor, G. I. 1923 Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. Roy. Soc. A 223, 289–343.
41. Van Bendegom, L. 1947 Some considerations on river morphology and river improvement. De Ingenieur 59, no. 4, B1-11 (in Dutch). Transl. 1963 National Res. Council Canada, Techn. Transl. no. 1054).
42. Yen, B. C. 1965 Characteristics of subcritical flow in a meandering channel. Inst. Hydr. Res., Univ. of Iowa.