Convection in nanofluids with a particle-concentration-dependent thermal conductivity

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 4, 2011, Pages

  Glässl, Martin ^a   Hilt, Markus ^a   Zimmermann, Walter ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOID CONCENTRATION; COLLOIDAL PARTICLE; CONTINUUM MODEL; LOWER BOUNDARY; NANOFLUIDS; ONSET OF CONVECTION; POSITIVE VALUE; RAYLEIGH NUMBER; SEPARATION RATIO; SORET EFFECTS; TEMPERATURE DIFFERENCES; THERMAL CONVECTIONS;

BINARY MIXTURES; COLLOIDS; CONTINUUM MECHANICS; HEAT CONVECTION;

THERMAL CONDUCTIVITY OF LIQUIDS;

EID: 79961074425     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.046315     Document Type: Article

References (52)

1. Mantle Dynamics, Treatise on Geophysics, Vol. 7, edited by, D. Bercovici, (Elsevier, Amsterdam, 2009).
2. F. H. Busse, in Mantle Convection: Plate Tectonics and Global Dynamics, edited by, W. R. Peltier, (Gordon and Breach, New York, 1989).
3. R. A. Houze, Cloud Dynamics (Academic, San Diego, 1993).
4. J. A. Eastman, S. R. Phillpot, S. U. S. Choi, and P. Keblinski, Annu. Rev. Mater. Res. ARMRCU 1531-7331 10.1146/annurev.matsci.34.052803.090621 34, 219 (2004).
5. J. Buongiorno, J. Heat Transfer JHTRAO 0022-1481 10.1115/1.2150834 128, 240 (2006).
6. J. Buongiorno, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.3245330 106, 094312 (2009).
7. S. U. S. Choi, J. Heat Transfer JHTRAO 0022-1481 10.1115/1.3056479 131, 033106 (2009).
8. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993).
9. E. Bodenschatz, W. Pesch, and G. Ahlers, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.32.1.709 32, 709 (2000). (Pubitemid 36145007)
10. M. C. Cross and H. Greenside, Pattern Formation and Dynamics in Nonequilibrium Systems (Cambridge University Press, Cambridge, 2009).
11. F. H. Busse, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112067001661 30, 625 (1967).
12. E. Palm, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112060000530 8, 183 (1960).
13. K. E. Torrance and D. L. Turcotte, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211207100096X 47, 113 (1971).
14. F. H. Busse and H. Frick, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112085000222 150, 451 (1985).
15. U. R. Christensen and H. Harder, Geophys. J. Int. GJINEA 0956-540X 10.1111/j.1365-246X.1991.tb02505.x 104, 213 (1991).
16. S. Balachandar, D. A. Yuen, D. M. Reuteler, and G. S. Lauer, Science SCIEAS 0036-8075 10.1126/science.267.5201.1150 267, 1150 (1995).
17. M. Ogawa, Fluid Dyn. Res. FDRSEH 0169-5983 10.1016/j.fluiddyn.2007.09.001 40, 379 (2008).
18. A. P. van den Berg, D. A. Yuen, and V. Steinbach, Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2000GL011903 28, 875 (2001). (Pubitemid 32575773)
19. S. J. Linz and M. Lücke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.3505 36, 3505 (1987).
20. B. Huke, H. Pleiner, and M. Lücke, Phys. Rev. E PLRAAN 1539-3755 10.1103/PhysRevE.78.046315 78, 046315 (2008).
21. M. Glässl, M. Hilt, and W. Zimmermann, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2010-10652-9 32, 265 (2010).
22. J. K. Platten and L. C. Legros, Convection in Liquids (Springer, Berlin, 1984).
23. J. S. Turner, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl.17.010185.000303 17, 11 (1985).
24. L. D. Landau and E. M. Lifschitz, Fluid Mechanics, Course of Theoretical Physics, Vol. 6 (Butterworth, Boston, 1987).
25. H. R. Brand, P. C. Hohenberg, and V. Steinberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.2548 30, 2548 (1984).
26. M. C. Cross and K. Kim, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.37.3909 37, 3909 (1988).
27. E. Knobloch and D. R. Moore, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.37.860 37, 860 (1988).
28. W. Schöpf and W. Zimmermann, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/8/1/008 8, 41 (1989).
29. W. Schöpf and W. Zimmermann, Phys. Rev. E EULEEJ 1539-3755 10.1103/PhysRevE.47.1739 47, 1739 (1993).
30. M. Lücke, in Evolution of Spontaneous Structures in Dissipative Continuous Systems, edited by, F. H. Busse, and, S. C. Müller, (Springer, Berlin, 1998).
31. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York, 1983).
32. R. Cerbino, A. Vailati, and M. Giglio, Phys. Rev. E EULEEJ 1539-3755 10.1103/PhysRevE.66.055301 66, 055301 (2002). (Pubitemid 40618530)
33. R. Cerbino, S. Mazzoni, A. Vailati, and M. Giglio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.064501 94, 064501 (2005). (Pubitemid 40629955)
34. M. C. Kim, C. K. Choi, and J.-K. Yeo, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2756824 19, 084103 (2007). (Pubitemid 47577594)
35. G. Donzelli, R. Cerbino, and A. Vailati, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.104503 102, 104503 (2009).
36. F. Winkel, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/053003 12, 053003 (2010).
37. S. K. Das, N. Putra, P. Thiesen, and W. Roetzel, J. Heat Transfer JHTRAO 0022-1481 10.1115/1.1571080 125, 567 (2003). (Pubitemid 37078524)
38. R. Prasher, P. Bhattacharya, and P. E. Phelan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.025901 94, 025901 (2005). (Pubitemid 40620160)
39. J. Eapen, R. Rusconi, R. Piazza, and S. Yip, J. Heat Transfer JHTRAO 0022-1481 10.1115/1.4001304 132, 102402 (2010).
40. B. Huke, H. Pleiner, and M. Lücke, Phys. Rev. E JHTRAO 1539-3755 10.1103/PhysRevE.75.036203 75, 036203 (2007). (Pubitemid 46393407)
41. D. A. Nield and A. V. Kuznetsov, Eur. J. Mech. B EJBFEV 0997-7546 10.1016/j.euromechflu.2010.02.003 29, 217 (2010).
42. D. Guthkowicz-Krusin, M. A. Collins, and J. Ross, Phys. Fluids 1070-6631 10.1063/1.862765 22, 1443 (1979).
43. G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of Incompressible Fluids (Keter, Jerusalem, 1976).
44. M. Ogawa, G. Schubert, and A. Zebib, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112091000496 233, 299 (1991).
45. W. Pesch, Chaos CHAOEH 1054-1500 10.1063/1.166194 6, 348 (1996). (Pubitemid 126130985)
46. R. M. Clever and F. H. Busse, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112074001571 65, 625 (1974).
47. C. Canuto, M. Y. Hassaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer, Berlin, 1987).
48. R. Piazza and A. Parola, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/15/153102 20, 153102 (2008). (Pubitemid 351592344)
49. Y. Renardy and D. D. Joseph, Phys. Fluids PHFLE6 1070-6631 10.1063/1.865046 28, 788 (1985).
50. S. Rasenat, F. H. Busse, and I. Rehberg, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112089000467 199, 519 (1989).
51. M. M. Degen, P. W. Colovas, and C. D. Andereck, Phys. Rev. E JFLSA7 1539-3755 10.1103/PhysRevE.57.6647 57, 6647 (1998).
52. M. Le Bars and A. Davaille, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002001878 471, 339 (2002). (Pubitemid 35436869)