×

Mixed convection heat transfer in a CuO-water filled trapezoidal enclosure, effects of various constant and variable properties of the nanofluid. (English) Zbl 1446.76008

Summary: Different models for the thermophysical properties of the CuO-water nanofluid have been proposed in recent years. In the more sophisticated variable-property models, the thermophysical properties of the nanofluid are considered to be functions of the temperature and the volume fraction of the nanoparticles; while, in the constant-property models, they depend on the nanoparticles volume-fraction only. In this study, a new variable-property model is proposed for the thermophysical properties of the CuO-water nanofluid based on the experimental and the theoretical results available in the literature. The impacts of using the newly generated as well as the existing models on the flow and temperature fields during numerical simulation of mixed convection heat transfer in a trapezoidal enclosure filled with the CuO-water nanofluid are investigated. The simulation results are presented in terms of the average Nusselt number and the entropy generation within the enclosure for a wide range of Richardson numbers and volume fractions of the nanoparticles. In general, more heat transfer enhancements and higher entropy generations are observed employing the variable-property models which consider the effect of the Brownian motion as compared to using the constant-property Maxwell-Brinkman model. Furthermore, the results indicate that the effective thermal conductivity of the nanofluid for a variable-property model plays a pre-eminent role in the heat transfer and the entropy generation inside the enclosure. However, the differences between the average Nusselt number and the entropy generation obtained using the different considered variable-property models decrease with increasing the nanoparticles volume fraction.

MSC:

76-10 Mathematical modeling or simulation for problems pertaining to fluid mechanics
80A17 Thermodynamics of continua
Full Text: DOI

References:

[1] Khanafer, K.; Vafai, K.; Lightstone, M., Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int. J. Heat Mass Transfer, 46, 3639-3653 (2003) · Zbl 1042.76586
[2] Jou, R. Y.; Tzeng, S. C., Numerical research of natural convection heat transfer enhancement filled with nanofluids in rectangular enclosures, Int. Commun. Heat Mass Transfer, 33, 727-736 (2006)
[3] Tiwari, R. K.; Das, M. K., Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluid, Int. J. Heat Mass Transfer, 50, 2002-2018 (2007) · Zbl 1124.80371
[4] Oztop, H. F.; Abu-Nada, E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29, 1326-1336 (2008)
[5] Aminossadati, S. M.; Ghasemi, B., Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure, Eur. J. Mech. B Fluids, 28, 630-640 (2009) · Zbl 1176.76127
[6] Das, M. K.; Ohal, P. S., Natural convection heat transfer augmentation in a partially heated and partially cooled square cavity utilizing nanofluids, Int. J. Numer. Methods Heat Fluid Flow, 19, 411-431 (2009)
[7] Lee, T. S., Numerical experiments with fluid convection in tilted nonrectangular enclosures, Numer. Heat Transfer Part A, 19, 487-499 (1991)
[8] Baytas, A. C.; Pop, I., Natural convection in a trapezoidal enclosure filled with a porous medium, Int. J. Eng. Sci., 39, 125-134 (2001) · Zbl 1210.76166
[9] Moukalled, F.; Darvish, M., Natural convection in a partitioned trapezoidal cavity heated from the side, Numer. Heat Transfer Part A, 43, 543-563 (2003)
[10] Natarajan, E.; Roy, S.; Basak, T., Effect of various thermal boundary conditions on natural convection in a trapezoidal cavity with linearly heated side wall(s), Numer. Heat Transfer Part B, 52, 6, 551-568 (2007)
[11] Natarajan, E.; Basak, T.; Roy, S., Natural convection flows in a trapezoidal enclosure with uniform and non-uniform heating of bottom wall, Int. J. Heat Mass Transfer, 51, 3-4, 747-756 (2008) · Zbl 1137.76057
[12] Timartnhad, I.; Alami, M.; Najam, M.; Oubarra, A., Numerical investigation an mixed convection flow in a trapezoidal cavity heated from below, Energy Convers. Manage., 49, 11 (2008), 3505-3210
[13] Basak, T.; Roy, S.; Singh, A.; Pandey, B. D., Natural convection flow simulation for various angles in a trapezoidal enclosure with linearly heated side wall(s), Int. J. Heat Mass Transfer, 52, 19-20, 4413-4425 (2009) · Zbl 1255.76117
[14] Varol, Y., Natural convection in divided trapezoidal cavities filled with fluid saturated porous media, Int. Commun. Heat Mass Transfer, 37, 1350-1358 (2010)
[15] Varol, Y.; Oztop, H. F.; Pop, I., Maximum density effects on buoyancy-driven convection in a porous trapezoidal cavity, Int. Commun. Heat Mass Transfer, 37, 401-409 (2010)
[16] Saleh, H.; Roslan, R.; Hashim, I., Natural convection heat transfer in a nanofluid-filled trapezoidal enclosure, Int. J. Heat Mass Transfer, 54, 194-201 (2011) · Zbl 1205.80045
[17] da Silva, A.; Fontana, E.; Mariani, V. C.; Marcondes, F., Numerical investigation of several physical and geometric parameters in the natural convection into trapezoidal cavities, Int. J. Heat Mass Transfer, 55, 6808-6818 (2012)
[18] Nasrin, R.; Parvin, S., Investigation of buoyancy-driven flow and heat transfer in a trapezoidal cavity filled with water-Cu nanofluid, Int. Commun. Heat Mass Transfer, 39, 270-274 (2012)
[19] Hasanuzzaman, M.; Oztop, H. F.; Rahman, M. M.; Rahim, N. A.; Saidur, R.; Varol, Y., Magnetohydrodynamic natural convection in trapezoidal cavities, Int. Commun. Heat Mass Transfer, 39, 1384-1394 (2012)
[20] Bhattacharya, M.; Basak, T.; Oztop, H. F.; Varol, Y., Mixed convection and role of multiple solutions in lid-driven trapezoidal enclosures, Int. J. Heat Mass Transfer, 63, 366-388 (2013)
[21] Basak, T.; Anandalakshmi, R.; Roy, S.; Pop, I., Role of entropy generation on thermal management due to thermal convection in porous trapezoidal enclosures with isothermal and non-isothermal heating of wall, Int. J. Heat Mass Transfer, 67, 810-828 (2013)
[22] Morshed, S. M.S.; Leang, K. C.; Yang, C., Thermophysical and electrokinematic properties of nanofluids a critical review, Appl. Therm. Eng., 28, 2109-2125 (2008)
[23] Ho, C. J.; Chen, M. W.; Li, Z. W., Numerical simulation of natural convection of nanofluid in a square enclosure: effects due to uncertainties of viscosity and thermal conductivity, Int. J. Heat Mass Transfer, 51, 4506-4516 (2008) · Zbl 1144.80317
[24] Corcione, M., Heat transfer features of buoyancy-driven nanofluids inside rectangular enclosures differentially heated at the sidewalls, Int. J. Therm. Sci., 49, 1536-1546 (2010)
[25] Corcione, M., Optimal formulation of nanofluids for maximum free convection heat transfer from horizontal isothermal cylinders, FDMP, 7, 2, 175-199 (2011)
[26] Arefmanesh, A.; Mahmoodi, M., Effects of uncertainties of viscosity models for \(Al_2 O_3\)-water nanofluid on mixed convection numerical simulations, Int. J. Therm. Sci., 50, 1706-1719 (2011)
[27] Minea, A. A., Uncertainties in modeling thermal conductivity of laminar forced convection heat transfer with water-Alumina nanofluids, Int. J. Heat Mass Transfer, 68, 78-84 (2014)
[28] Aminossadati, S. M.; Ghasemi, B., Natural convection of water-CuO nanofluid in a cavity with two pairs of heat source-sink, Int. Commun. Heat Mass Transfer, 38, 672-678 (2011)
[29] Bejan, A., Entropy Generation Minimization (1995), CRC Press: CRC Press New York
[30] Maxwell, J. C., A Treatise on Electricity and Magnetism, II (1873), Oxford University Press: Oxford University Press Cambridge, UK · JFM 05.0556.01
[31] Brinkman, H. C., The viscosity of concentrated suspensions and solution, J. Chem. Phys., 20, 571-581 (1952)
[32] Koo, J.; Kleinstreuer, C., A new thermal conductivity model for nanofluids, J. Nanopart. Res., 6, 577-588 (2004)
[33] Vajjha, R. S.; Das, D. K., Experimental determination of thermal conductivity of three nanofluids and development of new correlations, Int. J. Heat Mass Transfer, 52, 4675-4682 (2009) · Zbl 1176.80044
[34] Xiao, B.; Yang, Y.; Chen, L., Developing a novel form of thermal conductivity of nanofluids with Brownian motion effect by means of fractal geometry, Powder Technol., 239, 409-414 (2013)
[35] Xuan, Y.; Li, Q.; Hu, W., Aggregation structure and thermal conductivity of nanofluids, AIChE J., 49, 1038-1043 (2003)
[36] Patel, H. E.; Sundararajan, T.; Pradeep, T.; Dasgupta, A.; Dasgupta, N.; Das, S. K., A micro-convection model for thermal conductivity of nanofluids, J. Phys., 65, 863-869 (2005)
[37] Wang, Z. L.; Tang, D. W.; Liu, S.; Zheng, X. H.; Araki, N., Thermal-conductivity and thermal-diffusivity measurements of nanofluids by 3ω method and mechanism analysis of heat transport, Int. J. Thermophys., 28, 1255-1268 (2007)
[38] Jang, S. P.; Choi, S. U.S., Effects of various parameters on nanofluid thermal conductivity, J. Heat Transfer, 129, 617-623 (2007)
[39] Lee, S.; Choi, S. U.S.; Li, S.; Eastman, J. A., Measuring thermal conductivity of fluids containing oxide nanoparticles, J. Heat Transfer, 121, 280-289 (1999)
[40] Das, S. K.; Putra, N.; Thiesen, P.; Roetzel, W., Temperature dependence of thermal conductivity enhancement for nanofluids, J. Heat Transfer, 125, 567-574 (2003)
[41] Mintsa, H. A.; Roy, G.; Nguyen, C. T.; Doucet, D., New temperature dependent thermal conductivity data for water-based nanofluids, Int. J. Therm. Sci., 48, 363-371 (2009)
[42] Masoumi, N.; Sohrabi, N.; Behzadmehr, A., A new model for calculating the effective viscosity of nanofluids, J. Phys. D: Appl. Phys., 42, 1-6 (2009)
[43] Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere (1980), McGraw-Hill: McGraw-Hill Washington DC · Zbl 0521.76003
[44] Wang, X.; Li, D. G.; Jiao, H., Heat transfer enhancement of CuO-water nanofluids considering Brownian motion of nanoparticles in a singular cavity, J. Inf. Comput. Sci., 9, 1223-1235 (2012)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.