Transient natural convective heat transfer of a low-Prandtl-number fluid inside a horizontal circular cylinder with an inner coaxial triangular cylinder

International Journal of Heat and Mass Transfer

Volumn 53, Issue 23-24, 2010, Pages 5102-5110

  Yu, Zi Tao ^a   Xu, Xu ^b   Hu, Ya Cai ^a   Fan, Li Wu ^c   Cen, Ke Fa ^d  

^a ZHEJIANG UNIVERSITY   (China)

^b CHINA JILIANG UNIVERSITY   (China)

^c AUBURN UNIVERSITY   (United States)

^d ZHEJIANG UNIVERSITY   (China)

Author keywords

Circular cylinder; Heat transfer; Low Prandtl number fluid; Pitchfork bifurcation; Transient natural convection; Triangular cylinder

Indexed keywords

CONVECTIVE FLOW; CONVECTIVE HEAT TRANSFER; CYLINDRICAL ENCLOSURE; FLOW DEVELOPMENT; HORIZONTAL CIRCULAR CYLINDERS; LIQUID GALLIUM; LOW-PRANDTL-NUMBER FLUID; NUMERICAL STUDIES; ONSET-TIME; PITCHFORK BIFURCATIONS; STEADY STATE; TIME HISTORY; TIME-AVERAGED; TRANSIENT NATURAL CONVECTION; TRIANGULAR CYLINDER;

ASPECT RATIO; BIFURCATION (MATHEMATICS); CIRCULAR CYLINDERS; FLUIDS; FORCED CONVECTION; GALLIUM; GRASHOF NUMBER; NATURAL CONVECTION; NUSSELT NUMBER; PRANDTL NUMBER;

OSCILLATING FLOW;

EID: 77956043010     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.06.056     Document Type: Article

References (39)

1. H.K. Kuiken Free convection at low Prandtl numbers J. Fluid Mech. 37 1969 785 798
2. M. Pimputkar, and S. Ostrach Convective effects in crystals grown from melts J. Cryst. Growth 55 1981 614 646
3. W.E. Langlois Buoyancy-driven flows in crystal-growth melts Annu. Rev. Fluid Mech. 17 1985 191 215
4. R.M. Clever, and F.H. Busse Low-Prandtl number convection in a layer heated from below J. Fluid Mech. 102 1981 61 74
5. M. Meneguzzi, C. Sulem, P.L. Sulem, and O. Thual Three-dimensional numerical simulation of convection in low-Prandtl-number fluids J. Fluid Mech. 182 1987 169 191
6. V. Kek, and U. Müller Low Prandtl number convection in layers heated from below Int. J. Heat Mass Transfer 36 1993 2795 2804
7. H. Ozoe, H. Ukeba, and S.W. Churchill Numerical analysis of natural convection of low Prandtl number fluids heated from below Numer. Heat Transfer A. Appl. 26 1994 363 374
8. H. Ozoe, and T. Hara Numerical analysis for oscillatory natural convection of low Prandtl number fluid heated from below Numer. Heat Transfer A. Appl. 27 1995 307 317
9. A. Nakano, H. Ozoe, and S.W. Churchill Numerical computation of natural convection for a low-Prandtl-number fluid in a shallow rectangular region heated from below Chem. Eng. J. 71 1998 175 182
10. Y. Yamanaka, K. Kakimoto, H. Ozoe, and S.W. Churchill Rayleigh-Benard oscillatory natural convection of liquid gallium heated from below Chem. Eng. J. 71 1998 201 205
11. M. Hatanaka, T. Tagawa, and H. Ozoe Conjugate numerical computation for the natural convection of liquid metal heated from below Numer. Heat Transfer A. Appl. 47 2005 709 723
12. S. Vedantam, M.T. Dhotre, and J.B. Joshi Three-dimensional CFD simulation of Rayleigh-Benard convection for low Prandtl number fluids Chem. Eng. Res. Des. 84 2006 29 37
13. J.E. Hart Low Prandtl number convection between differentially heated end walls Int. J. Heat Mass Transfer 26 1983 1069 1074
14. R. Viskanta, D.M. Kim, and G. Gau Three-dimensional natural convection heat transfer of a liquid metal in a cavity Int. J. Heat Mass Transfer 29 1986 475 486
15. F. Wolff, C. Beckermann, and R. Viskanta Natural convection of liquid metals in vertical cavities Exp. Thermal Fluid Sci. 1 1988 83 91
16. A.A. Mohamad, and R. Viskanta Transient natural convection of low-Prandtl-number fluids in a differentially heated cavity Int. J. Numer. Meth. Fluids 13 1991 61 81
17. M.A. Langerman, and R.J. MacKinnon Estimating natural convection in low Prandtl cavity flows Numer. Heat Transfer A. Appl. 24 1993 221 228
18. T. Tagawa, and H. Ozoe Effect of Prandtl number and computational schemes on the oscillatory natural convection in an enclosure Numer. Heat Transfer A. Appl. 30 1996 271 282
19. K. Kamakura, and H. Ozoe Oscillatory phenomena of low-Prandtl-number fluids in a rectangular cavity Numer. Heat Transfer A. Appl. 30 1996 427 437
20. H. Sammouda, A. Belghith, and C. Surry Finite element simulation of transient natural convection of low-Prandtl-number fluids in heated cavity Int. J. Numer. Meth. Heat Fluid Flow 9 1999 612 624
21. M.G. Braunsfurth, A.C. Skeldon, A. Juel, T. Mullin, and D.S. Riley Free convection in liquid gallium J. Fluid Mech. 342 1997 295 314
22. A. Juel, T. Mullin, H. Ben Hadid, and D. Henry Three-dimensional free convection in molten gallium J. Fluid Mech. 436 2001 267 281
23. D.W. Crunkleton, R. Narayanan, and T.J. Anderson Numerical simulations of periodic flow oscillations in low Prandtl number fluids Int. J. Heat Mass Transfer 49 2006 427 438
24. R. Selver, Y. Kamotani, and S. Ostrach Natural convection of a liquid metal in vertical circular cylinders heated locally from the side J. Heat Transfer 120 1998 108
25. M. Behnia, F. Stella, and G. Guj Numerical study of three-dimensional low-Pr buoyancy and thermocapillary convection Numer. Heat Transfer A. Appl. 27 1995 73 88
26. S. Saravanan, and P. Kandaswamy Buoyancy convection in low Prandtl number liquids with large temperature variation Meccanica 37 2002 99 608
27. T. Pesso, and S. Piva Laminar natural convection in a square cavity: Low Prandtl numbers and large density differences Int. J. Heat Mass Transfer 52 2009 1036 1043
28. R.M. Clever, and F.H. Busse Convection at very low Prandtl numbers Phys. Fluids A 2 1990 334
29. Y. Hu, R.E. Ecke, and G. Ahlers Behavior of focus patterns in low Prandtl number convection Phys. Rev. Lett. 72 1994 2191 2194
30. I. Mercader, O. Batiste, L. Ramírez-Piscina, X. Ruiz, S. Rüdiger, and J. Casademunt Bifurcations and chaos in single-roll natural convection with low Prandtl number Phys. Fluids 17 2005 104108
31. P.K. Mishra, P. Wahi, and M.K. Verma Patterns and bifurcations in low-Prandtl-number Rayleigh-Bénard convection Europhys. Lett. 89 2010 44003
32. X. Xu, G. Sun, Z. Yu, Y. Hu, L. Fan, and K. Cen Numerical investigation of laminar natural convective heat transfer from a horizontal triangular cylinder to its concentric cylindrical enclosure Int. J. Heat Mass Transfer 52 2009 3176 3186
33. Z.-T. Yu, L.-W. Fan, Y.-C. Hu, and K.-F. Cen Prandtl number dependence of laminar natural convection heat transfer in a horizontal cylindrical enclosure with an inner coaxial triangular cylinder Int. J. Heat Mass Transfer 53 2010 1333 1340
34. E. Van De Sande, and B.J.G. Hamer Steady and transient natural convection in enclosures between horizontal circular cylinders (constant heat flux) Int. J. Heat Mass Transfer 22 1979 361 370
35. Y.T. Tsui, and B. Tremblay On transient natural convection heat transfer in the annulus between concentric, horizontal cylinders with isothermal surfaces Int. J. Heat Mass Transfer 27 1984 103 111
36. M.Y. Ha, M.J. Jung, and Y.S. Kim Numerical study on transient heat transfer and fluid flow of natural convection in an enclosure with a heat-generating conducting body Numer. Heat Transfer A. Appl. 35 1999 415 433
37. M.Y. Ha, I.-K. Kim, H.S. Yoon, K.S. Yoon, J.R. Lee, S. Balachandar, and H.H. Chun Two-dimensional and unsteady natural convection in a horizontal enclosure with a square body Numer. Heat Transfer A. Appl. 41 2002 183 210
38. Z.-T. Yu, X. Xu, Y.-C. Hu, L.-W. Fan, and K.-F. Cen Transient natural convective heat transfer from a heated triangular cylinder to its air-filled coaxial cylindrical enclosure Int. J. Heat Mass Transfer 53 2010 4296 4303
39. J.-S. Yoo, J.Y. Choi, and M.-U. Kim Multicellular natural convection of a low Prandtl number fluid between horizontal concentric cylinders Numer. Heat Transfer A. Appl. 25 1994 103 115