MERKEZ DIŞI KATI İLETKEN BİR CİSİM İÇEREN DİKDÖRTGEN KAPALI BİR ORTAMDA SU BAZLI CuO NANOAKIŞKANLAR İÇİN KALDIRMA KUVVETİ ETKİLİ ISI TRANSFERİNİN NÜMERİK İNCELENMESİ
Bu çalışmada, katı bir silindir içeren dikdörtgensel kapalı bir ortamda su bazlı CuO nanoakışkanlar için kaldırma kuvveti etkili ısı transferi farklı yükseklik genişlik oranı, katı silindirin yeri ve çapı, nanoparçacık hacim oranı ve Rayleigh sayısı değerleri için nümerik olarak incelenmiştir. Kapalı ortamın alt ve üst duvarları adyabatik iken, yan duvarları izotermaldir. Silindirin ısı iletim katsayısının baz akışkanınkine eşit olduğu varsayılmıştır. Yönetici denklemler Comsol Multiphysics sonlu eleman modelleme ve simülasyon yazılımı kullanılarak nümerik olarak çözülmüştür. Sonuçlar, ısı transferinin Rayleigh sayısı ve nanoparçacık hacim oranının artışı ve katı silindir çapının düşüşü ile önemli ölçüde arttığını göstermiştir. Sonuçlar aynı zamanda Rayleigh sayısının düşük değerleri için ısı transferinin yükseklik genişlik oranının artışı ile arttığını göstermiştir. Sonuçlar ayrıca ısı transferinin en yüksek değerlerini Rayleigh sayısının yüksek değerleri ve karesel kapalı ortam durumu için aldığını göstermiştir.
NUMERICAL INVESTIGATION OF BUOYANCY DRIVEN HEAT TRANSFER OF WATER-BASED CuO NANOFLUIDS IN A RECTANGULAR ENCLOSURE WITH AN OFFCENTER SOLID CONDUCTING BODY
Abstract: In this study, buoyancy driven heat transfer of water-based CuO nanofluid in a rectangular enclosure with asolid cylinder was investigated numerically for different values of aspect ratio, location and diameter of solid cylinder,solid volume fraction and Rayleigh number. While bottom and upper walls of enclosure are adiabatic, sidewalls areisothermal. Thermal conductivity of solid cylinder was assumed to be equal to that of the base fluid. Governingequations were solved numerically by Comsol Multiphysics finite element modeling and simulation software. Resultsshow that heat transfer rate increases considerably with an increase in the Rayleigh number and solid volume fractionand with a decrease in the solid cylinder diameter. Results also show that heat transfer rate shows an increase with anincrease of aspect ratio for low values of Rayleigh number. Finally, results show that heat transfer rate gets its highestvalue for square enclosure case for high values of Rayleigh number.
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- Yu Z. T., Xu X., Hu Y. C., Fan L. W. and Cen K. F.,
2011, Numerical Study of Transient Buoyancy-Driven
Convective Heat Transfer of Water-Based Nanofluids in
a Bottom-Heated Isosceles Triangular Enclosure, Int. J.
Heat Mass Transfer, 54(1-3), 526–532.
- Yu W., and Choi S. U. S., 2003, The Role of Interfacial
Layers in the Enhanced Thermal Conductivity of
Nanofluids: A Renovated Maxwell Model, J. Nanopart.
Res., 5(1), 167–171.
- Xuan Y. and Li Q., 2003, Investigation on Convective
Heat Transfer and Flow Features of Nanofluids, J. Heat
Transfer, 125(1), 151–155.
- Xuan Y. and Li Q., 2000, Heat Transfer Enhancement of
Nanofuids, Int. J. Heat Fluid Flow, 21(1), 58–64.
- Wong K. V. and Leon O., 2010, Applications of
Nanofluids: Current and Future (Review Article),
Advances in Mechanical Engineering, 2, 1-11.
- Wang X., Xu X. and Choi S. U. S., 1999, Thermal
Conductivity of Nanoparticle–Fluid Mixture, J.
Thermophys Heat Transfer, 13(4), 474–480.
- Susantez Ç., Kahveci K., Cihan A. and Hacihafızoğlu O.
2012, Natural Convection of Water-Based CuO
Nanofluids in an Enclosure with a Heat Conducting Solid
Circular Cylinder at the Center. 6
th International Ege
Energy Symposium & Exhibition, İzmir, 653-664.
- Rahman M. M., Billah M. M., Rahman A. T. M. M.,
Kalam M. A., Ahsan A., 2011, Numerical Investigation
of Heat Transfer Enhancement of Nanofluids in an
Inclined Lid-Driven Triangular Enclosure, Int. Commun.
Heat Mass Transfer, 38(10), 1360–1367.
- Pak B.C. and Cho Y. I., 1998, Hydrodynamic and Heat
Transfer Study of Dispersed Fluids with Submicron
Metallic Oxide Particles, Exp. Heat Transfer, 11(2), 151–
170.
- Oztop H. F. and Abu-Nada E., 2008, Numerical Study of
Natural Convection in Partially Heated Rectangular
Enclosures Filled with Nanofluids, Int. J. Heat Fluid
Flow, 29(5), 1326–1336.
- Murshed S. M. S., Leong K.C. and Yang C., 2009, A
Combined Model for the Effective Thermal Conductivity
of Nanofluids, Appl. Therm. Eng., 29(11-12), 2477–
2483.
- Murshed S. M. S., Leong K.C. and Yang C., 2008,
Investigations of Thermal Conductivity and Viscosity of
Nanofluids, Int. J. Therm. Sci., 47(5), 560–568.
- Maxwell J. C., 1873, A Treatise on Electricity and
Magnetism (Vol.II), Clarendon Press, Oxford, 54.
- Li C. H. and Peterson G. P., 2006, Experimental
Investigation of Temperature and Volume Fraction
Variations on the Effective Thermal Conductivity of
Nanoparticle Suspensions (Nanofluids), J. Appl. Phys.,
99(8), 084314.
- Lai F. H. and Yang Y. T., 2011, Lattice Boltzmann
Simulation of Natural Convection Heat Transfer of
Al2O3/water Nanofluids in a Square Enclosure, Int. J.
Therm. Sci., 50(10), 1930–1941.
- Khanafer K., Vafai K. and Lightstone M., 2003,
Buoyancy-driven heat transfer enhancement in a twodimensional
enclosure utilizing nanofluids, Int. J. Heat
Mass Tran., 46, 3639-3653.
- Kang H. U., Kim S. H. and Oh J. M., 2006, Estimation of
Thermal Conductivity of Nanofluid Using Experimental
Effective Particle Volume, Exp. Heat Transfer, 19(3),
181–191.
- Kahveci K., 2010, Buoyancy Driven Heat Transfer of
Nanofluids in a Tilted Enclosure, J. Heat Transfer,
132(6), 062501.
- Jang S. P. and Choi S. U. S., 2004, Role of Brownian
Motion in the Enhanced Thermal Conductivity of
Nanofluids, Appl. Phys. Lett., 84(21), 4316–4318.
- Hamilton R. L., and Crosser O. K., 1962, Thermal
Conductivity of Heterogeneous Two-Component
Systems, Ind. Eng. Chem. Fundam., 1(3), 187–191.
- Cihan A., Kahveci K. and Susantez Ç., 2012, Buoyancy
Driven Heat Transfer of Water-Based CuO Nanofluids in
a Tilted Enclosure with a Heat Conducting Solid
Cylinder on Its Center, World Congress on Engineering,
London, 1750-1754.
- Cianfrini M., Corcione M. and Quintino A., 2011,
Natural Convection Heat Transfer of Nanofluids in
Annular Spaces Between Horizontal Concentric
Cylinders, Appl. Therm. Eng., 31(17-18), 4055–4063.
- Choi S. U. S., Zhang Z. G., Yu W., Lockwood F. E. and
Grulke E. A., 2001, Anomalous Thermal Conductivity
Enhancement in Nanotube Suspensions, Appl. Phys.
Lett., 79(14), 2252–2254.
- Brinkman H. C., 1952, The Viscosity of Concentrated
Suspensions and Solutions, J. Chem. Phys., 20, 571-581.