Bifurcation and stability of forced convection in curved ducts of square cross-section

International Journal of Heat and Mass Transfer

Volumn 47, Issue 14-16, 2004, Pages 2971-2987

  Wang, Liqiu ^a   Yang, Tianliang ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; PROBLEM SOLVING; THERMODYNAMIC STABILITY;

ASYMMETRIC SEVEN CELL-STRUCTURES; CURVED DUCTS; DEAN NUMBERS; SQUARE CROSS-SECTIONS;

FORCED CONVECTION;

BIFURCATION; FORCED CONVECTION; HEAT TRANSFER; MATHEMATICAL ANALYSIS; MODEL;

EID: 2442568668     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2004.03.002     Document Type: Article

References (40)

1. Dean W.R. Fluid motion in a curved channel Proc. Roy. Soc. A 121 1928 402-420
2. Berger S.A. Talbot L. Yao L.-S. Flow in curved pipes Ann. Rev. Fluid Mech. 15 1983 461-512
3. Nandakumar K. Masliyah J.H. Swirling flow and heat transfer in coiled and twisted pipes Adv. Transp. Process. 4 1986 49-112
4. Itō H. Flow in curved pipes JSME Int. J. 30 1987 543-552
5. Berger S.A. Flow and heat transfer in curved pipes and tubes AIAA 91-0030 1991 1-19
6. Itō H. Theory on laminar flow through curved pipes of elliptic and rectangular cross-sections Rep. Inst. High Speed Mech. 1 1951 1-16
7. Cuming H.G. The secondary flow in curved pipes Aeronaut. Res. Counc. Rep. Mem. 2880 1952
8. Stuart J.T. Hydrodynamic stability Rosenhead L. Laminar Boundary Layers 1963 505 Oxford University Press
9. Cheng K.C. Lin R.C. Ou J.W. Fully developed laminar flow in curved rectangular channels J. Fluids Eng. 98 1976 41-48
10. Cheng K.C. Akiyama M. Laminar forced convection heat transfer in curved rectangular channels Int. J. Heat Mass Transfer 13 1970 471-490
11. Cheng K.C. Lin R.C. Ou J.W. Graetz problem in curved square channels J. Heat Transfer 97 1975 244-248
12. Joseph B. Smith E.P. Adler R.J. Numerical treatment of laminar flow in helically coiled tubes of square cross section AIChE J. 21 1975 965-974
13. Cheng K.C. Nakayama J. Akiyama M. Effect of finite and infinite aspect ratios on flow patterns in curved rectangular channels Flow Visualization 1979 181-186 Hemisphere
14. Sugiyama S. Hayashi T. Yamazaki K. Flow characteristics in the curved rectangular channels (visualization of secondary flow) Bull. JSME 26 1983 964-969
15. M. Akiyama, Laminar forced convection heat transfer in curved rectangular channels, M.Sc. thesis, Mechanical Engineering Department, University of Alberta, 1969
16. Masliyah J.H. On laminar flow in curved semicircular ducts J. Fluid Mech. 99 1980 469-479
17. K.H. Winters, R.C.G. Brindley, Multiple solutions for laminar flow in helically-coiled tubes, AERE Rep. 11373, AERE Harwell, UK, 1984
18. Shanthini W. Nandakumar K. Bifurcation phenomena of generalized Newtonian fluids in curved rectangular ducts J. Non-Newtonian Fluid Mech. 22 1986 35-60
19. Winters K.H. A bifurcation study of laminar flow in a curved tube of rectangular cross-section J. Fluid Mech. 180 1987 342-369
20. Daskopoulos P. Lenhoff A.M. Flow in curved ducts: Bifurcation structure for stationary ducts J. Fluid Mech. 203 1989 125-148
21. Bara B. Nandakuma K. Masliyah J.H. An experimental and numerical study of the Dean problem: Flow development towards two-dimensional multiple solutions J. Fluid Mech. 244 1992 339-376
22. K.C. Cheng, L.Q. Wang, The effects of centrifugal and Coriolis forces on secondary flow phenomena in rotating curved square channels: Visualization for positive and negative rotations, Experimental and Numerical Flow Visualization, FED-172, ASME, 1993, pp. 359-367
23. K.C. Cheng, L.Q. Wang, Visualization of secondary flow phenomena in rotating curved square channels with positive and negative rotations, in: Proceedings of Fourth Triennial International Symposium on Fluid Control, Fluid Measurement, Fluid Mechanics, Visualization and Fluids, vol. 1, 1994, pp. 561-569
24. Mees P.A.J. Nandakumar K. Masliyah J.H. Secondary instability of flow in a curved duct of square-cross section J. Fluid Mech. 323 1996 387-409
25. Mees P.A.J. Nandakumar K. Masliyah J.H. Steady spatial oscillations in a curved duct of square cross-section Phys. Fluids 8 1996 3264-3270
26. Wang L.Q. Cheng K.C. Visualization of flows in curved channels with a moderate or high rotation speed Int. J. Rotat. Mach. 3 1997 215-231
27. Wang L.Q. Cheng K.C. Visualization of flows in channels with curvature and rotation Regel L.L. Wilcox W.R. Centrifugal Processing 2001 339-360 Kluwer Academic/Plenum Publishers New York
28. Sankar S.R. Nandakumar K. Masliyah J.H. Oscillatory flows in coiled square ducts Phys. Fluids 31 1988 1348-1358
29. Seydel R. Practical Bifurcation and Stability Analysis: From Equilibrium to Chaos 1994 Springer-Verlag New York
30. Miyazaki H. Combined free and forced convective heat transfer and fluid flow in a rotating curved rectangular tubes J. Heat Transfer 95 1973 64-71
31. Wang L.Q. Cheng K.C. Flow transitions and combined free and forced convective heat transfer in rotating curved channels: The case of positive rotation Phys. Fluids 6 1996 1553-1573
32. Shah R.K. Londong A.L. Laminar Flow Forced Convection in Ducts 1978 Academic New York
33. S.W. Hong, S.M. Morcos, A.E. Bergles, Analytical and experimental results for combined forced and free convection in horizontal tubes, in: Proceedings of the Fifth International Heat Transfer Conference 3, 1974, pp. 154-158
34. T.L. Yang, Multiplicity and stability of flow and heat transfer in rotating curved ducts, Ph.D. thesis, Department of Mechanical Engineering, The University of Hong Kong, 2001
35. Patankar S.V. Numerical Heat Transfer and Fluid Flow 1980 Hemisphere Publishing Corporation New York
36. Wang L.Q. Wei H.C. Zhou X.S. Engineering Numerical Analysis 2002 Shandong University Press Jinan
37. Guo Y. Finlay W.H. Splitting, merging and wavelength selection of vortices in curved and/or rotating channel flow due to Eckhaus instability J. Fluid Mech. 228 1991 661-691
38. Pomeau Y. Manneville P. Intermittent transition to turbulence in dissipative dynamical systems Commun. Math. Phys. 74 1980 189-197
39. Bergè P. Manneville P. Pomeau Y. Intermittency in Rayleigh- Benard convection J. Phys. Lett. 41 1980 L341-L345
40. Peitgen H.O. Jürgens H. Saupe D. Chaos and Fractals, New Frontiers of Science 1992 Springer-Verlag New York