The effects of chaotic advection on heat transfer

International Journal of Heat and Mass Transfer

Volumn 40, Issue 13, 1997, Pages 3089-3104

  Mokrani, A ^a   Castelain, C ^a   Peerhossaini, H ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; FLUID DYNAMICS; HEAT EXCHANGERS; HEATING; REYNOLDS NUMBER; TEMPERATURE; THERMAL VARIABLES MEASUREMENT; TURBULENCE; VELOCITY MEASUREMENT;

CHAOTIC ADVECTION; CHAOTIC COIL; DEAN FLOW; HOMOGENEITY; TEMPERATURE PROFILE;

HEAT TRANSFER;

ADVECTION; FLUIDS; HEAT TRANSFER;

EID: 0031240051     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(96)00361-4     Document Type: Article

References (34)

1. Shah, R. K. and Joshi, S. D., Convective heat transfer in curved ducts. Handbook of Single-Phase Convectire Heat Transfer. Wiley, New York, 1987, 5.1-5.46.
2. Mori, Y. and Nakayama, W., Study on forced convective heat transfer in curved pipes (1st report, laminar region). International Journal of Heat and Mass Transfer, 1965, 8, 67-82.
3. Dravid, A. N., Smith, K. A., Merrill, E. W. and Brian, P. L. T., Effect of secondary fluid motion on laminar heat transfer in helically coiled tubes. AIChE Journal, 1971, 17(5), 1114-1122.
4. Akiyama, M. and Cheng, K. C., Laminar forced convection heat transfer in curved pipes with uniform wall temperature. International Journal of Heat and Mass Transfer, 1972, 15, 1426-1431.
5. Patankar, S. V., Pratap, V. S. and Spalding, D. B., Prediction of laminar flow and heat transfer in helically coiled pipes. Journal of Fluid Mechanics, 1974, 62(3), 539-551.
6. Raju, K. K. and Rathna, S. L., Heat transfer for the flow of a power law fluid in a curved pipe. Journal of Indian Institute of Science, 1970, 52, 34-37.
7. Jones, S. W., Thomas, O. M. and Aref, H., Chaotic advection by laminar flow in twisted pipe. Journal of Fluid Mechanics, 1989, 209, 335-357.
8. Acharya, N., Sen, M. and Chang, H. C., Heat transfer enhancement in coiled tubes by chaotic advection. Imernational Journal of Heat and Mass Transfer, 1992, 35(10), 2475-2489.
9. Peerhossaini, H., Castelain, C. and Le Guer. Y., Heat exchanger design based on chaotic advection. Experimental and Thermal and Fluid Science, 1993, 7, 333-334.
10. Aref, H., Stirring by chaotic advection. Journal of Fluid Mechanics, 1984, 143, 1-21.
11. Chaiken, J., Tabor, C. K. and Tan, Q. M., Lagrangian turbulence and spatial complexity in a stokes flow. Physical Fluids, 1987, 30, 687-694.
12. Jones, S. W. and Aref, H., Chaotic advection in a pulsed source-sink system. Physics Fluids, 1990, 31, 469-485.
13. Ghosh, S., Chang, H. C. and Sen, M., Heat transfer enhancement due to slender recirculation and chaotic transport between counter-rotating eccentric cylinders. Journal of Fluid Mechanics, 1992, 238, 119-154.
14. Saatdjian, E., Midoux, N. and André, J. C., On the solution of Stokes equations between confocal ellipses. Physical Fluids. 1994, 6, 3833-3846.
15. Saatdjian, E., Midoux, N., Gastou-Chassaing, M. I., Lepervost, J. C. and André. J. C., Chaotic mixing and heat transfer between confocal ellipses: experimental and numerical results. Physical Fluids, 1996, 8, 677-691.
16. Arnold, V. I., Sur la topologie des écoulements stationnaires des fluides parfaits. C. R. Acad. Sci. Paris, 1965, 261, 17-20.
17. Khakhar, D. V., Franjione, J. G. and Ottino, J. M., A case study of chaotic mixing in deterministic flows: the partitioned-pipe mixer. Chemical Engineering Science, 1987, 42(12), 2909-2926.
18. Le Guer, Y. and Peerhossaini, H., Order breaking in Dean flow. Physical Fluids, 1991, A3(5), 1029-1032.
19. Le Guer, Y., Castelain, C. and Peerhossaini, H., Experimental study of chaotic advection regime in a twisted duct flow. Journal of Fluid Mechanics, 1995 (submitted).
20. Doherty, M. F. and Ottino, J. M., Chaos in deterministic systems: strange attractors, turbulence and applications in chemical engineering. Chemical Engineering Science, 1988, 43(2), 139-183.
21. Dean, W. R., Note on the motion of fluid in a curved pipe. Philosophical Magazine Journal of Science, 1927, 4 (7th series), 208-223.
22. Dean, W. R., The stream-line motion of fluid in a curved pipe. Philosophical Magazine Journal of Science, 1928, 5, 673-695.
23. Eustice, J., Experiments on streamline motion in curved pipes. Proceedings of the Royal Society, 1911, A85, 119.
24. Berger, B. A., Talbot, L. and Yao, L. S., Flow in curved pipes. Annual Review of Fluid Mechanics, 1983, 15, 461-512.
25. Bara, B., Nandakumar, K., and Masliyah, J. H., An experimental and numerical study of the Dean problem: flow development towards two-dimensional multiple solutions. Journal of Fluid Mechanics, 1992, 244, 339-376.
26. Chang, H. C. and Sen, M., Application of chaotic advection to heat transfer. Chaos, Solitons and Fractals, 1994, 4, 955-976.
27. Metzner, A. B. and Reed, J. C., Flow of non-Newtonian fluids: correction of the laminar transition and turbulent flow regions. AIChE Journal, 1955, 1, 434.
28. Yao, L. S. and Berger, S. A., The three-dimensional boundary layer in the entry region of curved pipes with finite curvature ratio. Physical Fluids, 1988, 31, 486-494.
29. Castelain, C., Etude expérimentale de la dynamique des fluids et des transferts thermiques dans un écoulement de Dean alterné en régime d'advection chaotique. Ph. D. thesis, University of Nantes, France, 1995.
30. Le Guer, Y., Etude des phénomènes de transport en régime d'advection chaotique dans un écoulement ouvert. Ph. D. thesis, University of Nantes, France, 1993.
31. Kline, S. J. and McClintock, F. A., Describing uncertainties in single-sample experiments. Mechanical Engineering, 1953, 75, 3-8.
32. Moffat, R. J., Describing the uncertainties in experimental results. Experimental Thermal and Fluid Science, 1988, 1, 3-17.
33. Kalb, C. E. and Seader, J. D., Fully developed viscous flow heat transfer in curved circular tubes with uniform wall temperature. AIChE Journal, 1974, 20(2), 340-346.
34. Acharya, N., Sen, M. and Chang, H. C., Thermal entrance length and Nusselt numbers in coiled tubes. International Journal of Heat and Mass Transfer, 1994, 10, 336-340.