Mixed convection of water-based nanofluids in a lid-driven square enclosure with a heat source

Heat Transfer Research

Volumn 42, Issue 8, 2011, Pages 711-735

  Kahveci, Kamil ^a   BüYÜkÖǧüt, Elif ^b  

^a TRAKYA UNIVERSITY   (Turkey)

^b KOCAELI UNIVERSITY   (Turkey)

Author keywords

Differential quadrature method; Heat source; Mixed convection; Nanofluid; Square enclosure

Indexed keywords

COMPUTATIONAL RESULTS; CONSTANT HEAT FLUX; DIFFERENTIAL QUADRATURE METHODS; ENHANCEMENT OF HEAT TRANSFER; GOVERNING EQUATIONS; HEAT SOURCE; HEAT SOURCES; HEAT TRANSFER RATE; NANO LAYERS; NANO-FLUID; NANOFLUIDS; PARTICLE RADII; RICHARDSON NUMBER; SQUARE ENCLOSURES; WATER BASED;

DIFFERENTIATION (CALCULUS); ENCLOSURES; MIXED CONVECTION; NANOPARTICLES; REYNOLDS NUMBER;

NANOFLUIDICS;

EID: 84858830018     PISSN: 10642285     EISSN: None     Source Type: Journal    
DOI: 10.1615/HeatTransRes.2012003587     Document Type: Article

References (37)

1. Akbarinia, A. and Behzadmehr, A., Numerical study of laminar mixed convection of a nanofluid in horizontal curved tubes, Appl. Thermal Eng., vol. 27, pp. 1327-1337, 2007. (Pubitemid 46187173)
2. Aminossadati, S. M. and Ghasemi, B., Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure, Eur. J. Mech. B, Fluids, vol. 28, pp. 630-640, 2009.
3. Bellman, R. E. and Casti, J. Differential quadrature and long term integration, J. Math. Anal. Appl., vol. 34, pp. 235-238, 1971.
4. Bellman, R. E., Kashef, B. G., and Casti, J., Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations, J. Comput. Phys., vol. 10, pp. 40-52, 1972.
5. Brinkman, H. C., The viscosity of concentrated suspensions and solutions, J. Chem. Phys., vol. 20, pp. 571-581, 1952.
6. Bruggeman, D. A. G., Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen, i. dielektrizitatskonstanten und leitfahigkeiten der Mischkorper aus isotropen Substanzen, Annalen der Physik, Leipzig, vol. 24, pp. 636-679, 1935.
7. Eastman, J. A., Choi, S. U. S., Li, S., Yu, W., and Thompson, L. J., Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles, Appl. Phys. Lett., vol. 78, pp. 718-720, 2001. (Pubitemid 33630327)
8. Ece, M. C. and Buyük, E., Natural convection flow under a magnetic field in an inclined square enclosure differentialy heated on adjacent walls, Meccanic, vol. 42, pp. 435-449, 2007a. (Pubitemid 47536276)
9. Ece, M. C. and Büyük, E., Natural convection flow under a magnetic field in an inclined rectangular enclosure heated and cooled on adjacent walls, Fluid Dyn. Res., vol. 38, pp. 564-590, 2006. (Pubitemid 43971266)
10. Ece, M. C. and Büyük, E., The effect of an external magnetic field on natural convection in an inclined rectangular enclosure, Proc. Inst. Mech. Eng., Part C, J. Mech. Eng. Sci.,vol. 221, pp. 1609-1622, 2007b.
11. Ghasemi, B. and Aminossadati, S. M., Periodic natural convection in a nanofluidfilled enclosure with oscillating heat flux, Int. J. Thermal Sci., vol. 49, pp. 1-9, 2010.
12. Gray, D. D. and Giogini, A., The validity of the Boussinesq approximation for liquids and gases, Int. J. Heat Mass Transfer, vol. 19, pp. 545-551, 1977.
13. Hamilton, R. L. and Crosser, O. K., Thermal conductivity of heterogeneous two-component systems, I & EC Fundamentals, vol. 1, pp. 182-191, 1962.
14. 3 nanofluids in a rectangular cavity, Int. J. Heat Mass Transfer, vol. 50, pp. 4003-4010, 2007. (Pubitemid 46733953)
15. Jang, S. P. and Choi, S. U. S., The role of Brownian motion in the enhanced thermal conductivity of nanofluids, Appl. Phys. Lett., vol. 84, pp. 4316-4318, 2004.
16. Jou, R. Y. and Tzeng, S. C., Numerical research of nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures, Int. Commun. Heat Mass Transfer, vol. 33, pp. 727-736, 2006.
17. Kahveci, K., A differential quadrature solution of natural convection in an enclosure with a finite thickness partition, Numer. Heat Transfer, Part A: Applications, vol. 51, pp. 979-1002, 2007a. (Pubitemid 46753656)
18. Kahveci, K., Buoyancy-driven heat transfer of nanofluids in a tilted enclosure, ASME, J. Heat Transfer, vol. 132, pp. 062501-12, 2010.
19. Kahveci, K., Natural convection in a partitioned vertical enclosure heated with a uniform heat flux. ASME, J. Heat Transfer, vol. 129, pp. 717-726, 2007b. (Pubitemid 47091059)
20. Kahveci, K., Numerical simulation of natural convection in a partitioned enclosure using PDQ method, Int. J. Numer. Meth. Heat Fluid Flow, vol. 17, pp. 439-456, 2007c. (Pubitemid 46790560)
21. Keblinski, P., Phillpot, S. R., Choi, S. U. S., and Eastman, J. A., Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids), Int. J. Heat Mass Transfer, vol. 45, pp. 855-863, 2002. (Pubitemid 34034421)
22. Maxwell-Garnet, J. C., Colours in metal glasses and in metallic films, Philos. Trans. Roy. Soc. A, vol. 203, pp. 385-420, 1904.
23. Mirmasoumi, S. and Behzadmehr, A., Numerical study of laminar mixed convection of a nanofluid in a horizontal tube using two-phase mixture model, Appl. Thermal Eng., vol. 28, pp. 717-727, 2008. (Pubitemid 351199651)
24. Muthtamilselvan, M., Kandaswamy, P., and Lee, J., Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure, Commun. Nonlinear Sci. Numer. Simul., vol. 15, pp. 1501-1510, 2010.
25. Ögüt, E. B., Heat transfer of water-based nanofluids with natural convection in an inclined square enclosure, J. Thermal Sci. Technol., vol. 30, pp. 23-33, 2010.
26. Ögüt, E. B., Natural convection of water-based nanofluids in an inclined enclosure with a heat source, Int. J. Thermal Sci., vol. 48, pp. 2063-2073, 2009.
27. Oztop, H. F. and Abu-Nada, E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, vol. 29, pp. 1326-1336, 2008.
28. Santra, A. K., Sen, S., and Chakraborty, N., Study of heat transfer augmentation in a differentially heated square cavity using copper-water nanofluid, Int. J. Thermal Sci., vol. 47, pp. 1113-1122, 2008.
29. Shahi, M. Mahmoudi, A. H., and Talebi, F., Numerical study of mixed convective cooling in a square cavity ventilated and partially heated from the below utilizing nanofluid, Int. Commun. Heat Mass Transfer, vol. 37, pp. 201-213, 2010.
30. Shu, C. and Richards, B. E., Application of generalized differential quadrature to solve two-dimension incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids, vol. 15, pp. 791-798, 1992a. (Pubitemid 23557497)
31. Shu, C. and Richards, B. E., Parallel simulation of incompressible viscous flows by generalized differential quadrature, Comput. System Eng., vol. 3, pp. 271-281, 1992b.
32. Talebi, F., Mahmoudi, A. H., and Shahi, M., Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid, Int. Commun. Heat Mass Transfer, vol. 37, pp. 79-90, 2010.
33. Tiwari, R. K. and Das, M. K., Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat Mass Transfer, vol. 50, pp. 2002-2018, 2007.
34. Wang, B. X., Zhou, L. P., and Peng, X. F., A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles, Int. J. Heat Mass Transfer, vol. 46, pp. 2665-2672, 2003.
35. Wasp, F. J., Solid-liquid flow slurry pipeline transportation, Trans. Tech. Publ., Berlin, 1977.
36. Xuan, Y. and Roetzel, W., Conceptions for heat transfer correlation of nanofluids, Int. J. Heat Mass Transfer, vol. 43, pp. 3701-3707, 2000. (Pubitemid 30605120)
37. Yu, W. and Choi, S. U. S., The role of interfacial layer in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model, J. Nanoparticles Res., vol. 5, pp. 167-171, 2003.