Direct numerical simulation of fluid flow and heat transfer in periodic wavy channels with rectangular cross-sections

International Journal of Heat and Mass Transfer

Volumn 55, Issue 1-3, 2012, Pages 73-88

  Sui, Y ^a   Teo, C J ^a   Lee, P S ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Chaotic advection; Dean vortices; Dynamical system; Electronic cooling; Microchannel heat sinks; Poincar section; Ruelle Takens Newhouse; Wavy microchannel

Indexed keywords

CHAOTIC ADVECTION; DEAN VORTEX; MICROCHANNEL HEAT SINKS; POINCARE; RUELLE-TAKENS-NEWHOUSE; WAVY MICROCHANNEL;

ADVECTION; DIRECT NUMERICAL SIMULATION; DYNAMICAL SYSTEMS; ELECTRONIC COOLING; FIBROUS MEMBRANES; HEAT SINKS; HEAT TRANSFER; LIQUIDS; MICROCHANNELS; REYNOLDS NUMBER; VORTEX FLOW;

FLOW SIMULATION;

EID: 80255131390     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2011.08.041     Document Type: Article

References (44)

1. F. Schönfeld, and S. Hardt Simulation of helical flows in micro channels AIChE J. 50 2004 771 778 (Pubitemid 38520579)
2. F. Jiang, K.S. Drese, S. Hardt, M. Küpper, and F. Schönfeld Helical flows and chaotic mixing in curved micro channels AIChE J. 50 2004 2297 2305 (Pubitemid 39108786)
3. C.E. Kalb, and J.D. Seader Heat and mass transfer phenomena for viscous flow in curved circular tubes Int. J. Heat Mass Transfer 15 4 1972 801 817
4. J.H. Masliyah, and K. Nandakumar Fully-developed viscous flow and heat transfer in curved semi-circular sectors AIChE J. 25 3 1979 478 487 (Pubitemid 9453302)
5. L. Wang, and T. Yang Bifurcation and stability of forced convection in curved ducts of square cross-section Int. J. Heat Mass Transfer 47 2004 2971 2987 (Pubitemid 38653043)
6. G. Yang, Z.F. Dong, and M.A. Ebadian Laminar forced convection in a helicoidal pipe with fine pitch Int. J. Heat Mass Transfer 38 5 1995 853 862
7. N.R. Rosaguti, D.F. Fletcher, and B.S. Haynes Laminar flow and heat transfer in a periodic serpentine channel with semi-circular crosssection Int. J. Heat Mass Transfer 49 17-18 2006 2912 2923 (Pubitemid 43902841)
8. P.E. Geyer, N.R. Rosaguti, D.F. Fletcher, and B.S. Haynes Laminar thermohydraulics of square ducts following a serpentine channel path Microfluid. Nanofluid. 2 3 2006 195 204
9. P.E. Geyer, N.R. Rosaguti, D.F. Fletcher, and B.S. Haynes Laminar flow and heat transfer in periodic serpentine mini-channels J. Enhanced Heat Transfer 13 4 2006 309 320
10. P.E. Geyer, D.F. Fletcher, and B.S. Haynes Laminar flow and heat transfer in a periodic trapezoidal channel with semi-circular crosssection Int. J. Heat Mass Transfer 50 17-18 2006 3471 3480
11. N.R. Rosaguti, D.F. Fletcher, and B.S. Haynes Low Reynolds number heat transfer enhancement in sinusoidal channels Chem. Eng. Sci. 62 3 2007 694 702 (Pubitemid 44908216)
12. R.M. Manglik, J. Zhang, and A. Muley Low Reynolds number forced convection in three-dimensional wavy-plate-fin compact channels: fin density effects Int. J. Heat Mass Transfer 48 8 2005 1439 1449 (Pubitemid 40318772)
13. Y. Sui, C.J. Teo, P.S. Lee, Y.T. Chew, and C. Shu Fluid flow and heat transfer in wavy microchannels Int. J. Heat Mass Transfer 53 2010 2760 2772
14. Y. Sui, C.J. Teo, and P.S. Lee An experimental study of flow friction and heat transfer in wavy microchannels with rectangular cross-section Int. J. Thermal Sci. 2011 doi:10.1016/j.ijthermalsci.2011.06.017
15. L. Gong, K. Kota, W. Tao, and Y. Joshi Parametric numerical study of flow heat transfer in microchannels with wavy walls ASME J. Heat Transfer 133 2011 051702
16. H. Aref Stirring by chaotic advection J. Fluid Mech. 143 1984 1 21
17. H. Aref The development of chaotic advection Phys. Fluids 14 4 2002 1315 1325 (Pubitemid 34439815)
18. T.A. Rush, T.A. Newell, and A.M. Jacobi An experimental study of flow and heat transfer in sinusoidal wavy passages Int. J. Heat Mass Transfer 42 9 1999 1541 1553 (Pubitemid 29228436)
19. GAMBIT 2.2 User's Guide, 2000, Lebanon, NH, Fluent Inc.
20. FLUENT 6 User's Guide, 2000, Lebanon, NH, Fluent Inc.
21. R.K. Shah, and A.L. London Laminar Flow Forced Convection in Ducts 1978 Academic Press New York
22. D.M. Hobbs, and F.J. Muzzio Optimization of a static mixer using dynamical systems techniques Chem. Eng. Sci. 53 1998 3199 3213 (Pubitemid 29149673)
23. J. Aubin, D.F. Fletcher, and C. Xuereb Design of micromixers using CFD modeling Chem. Eng. Sci. 60 2005 2503 2516 (Pubitemid 40306801)
24. X.D. Niu, Y.T. Chew, and C. Shu Simulation of flows around an impulsively started circular cylinder by Taylor series expansion- and least squares-based lattice Boltzmann method J. Comput. Phys. 188 2003 176 193 (Pubitemid 36802683)
25. J.M. Ottino The Kinematic of Mixing: Stretching, Chaos and Transport 1989 Cambridge University Press New York
26. J.M. Ottino Mixing, chaotic advection and turbulence Ann. Rev. Fluid Mech. 22 1990 207 253
27. A.D. Stroock, S.K.W. Dertinger, A. Ajdari, I. Mezic, H.A. Stone, and G.M. Whitesides Chaotic mixer for microchannels Science 295 2002 647 651 (Pubitemid 34111816)
28. H.M. Xia, S.Y.M. Wan, C. Shu, and Y.T. Chew Chaotic micromixers using two-layer crossing channels to exhibit fast mixing at low Reynolds numbers Lab Chip 5 2005 748 755 (Pubitemid 40980103)
29. H.M. Xia, S.Y.M. Wan, C. Shu, and Y.T. Chew Influence of the Reynolds number on chaotic mixing in a spatially periodic micromixer and its characterization using dynamical system techniques J. Micromech. Microeng. 16 2006 53 61 (Pubitemid 41818024)
30. C. Chagny, C. Castelain, and H. Peerhossaini Chaotic heat transfer for heat exchanger design and comparison with a regular regime for a large range of Reynolds numbers Appl. Thermal Eng. 20 2000 1615 1648
31. Y. Lasbet, B. Auvity, C. Castelain, and H. Peerhossaini A chaotic heat-exchanger for PEMFC cooling applications J. Power Sources 156 2006 114 118
32. G.E. Karniadakis, and G.S. Triantafyllou Three-dimensional dynamics and transition to turbulence in the wake of bluff objects J. Fluid Mech. 238 1992 1 30
33. A.M. Guzmán, and C.H. Amon Dynamical flow characterization of transitional and chaotic regimes in converging diverging channels J. Fluid Mech. 321 1996 25 57
34. A.M. Guzmán, and M.D. Valle Heat transfer enhancement in grooved channels due to flow bifurcations Heat Mass Transfer 42 2006 967 975 (Pubitemid 44128077)
35. J. Zhang, N.S. Liu, and X.Y. Lu Route to a chaotic state in fluid flow past an inclined flat plate Phys. Rev. E 79 2009 045306
36. D. Ruelle, and F. Takens On the nature of turbulence Commun. Math. Phys. 20 1971 167 192
37. m, m ≥ 3 Commun. Math. Phys. 64 1978 35 40
38. M. Feigenbaum The transition to aperiodic behavior in turbulent systems Commun. Math. Phys. 77 1980 65 86
39. T.H. Pulliam, and J.A. Vastano Transition to chaos in an open unforced 2D flow J. Comput. Phys. 105 1993 133 149
40. P. Manneville, and Y. Pomeau Different ways to turbulence in dissipative dynamical systems Physical D 1 1980 219 226
41. D.B. Tuckerman, and R.F.W. Pease High-performance heat-sinking for VLSI IEEE Electron Dev. Lett. 2 5 1981 126 129
42. I. Hassan, P. Phutthavong, and M. Abdelgawad Microchannel heat sinks: an overview of the state-of-the-art Microscale Thermal Eng. 8 2004 183 205
43. S.V. Garimella, and C.B. Sobhan Transport in microchannels - A critical review Annu. Rev. Heat Transfer 13 2003 1 50
44. H.M. Metwally, and R.M. Manglik Enhanced heat transfer due to curvature-induced lateral vortices in laminar flows in sinusoidal corrugated-plate channels Int. J. Heat Mass Transfer 47 10-11 2004 2282 2292