Enhanced natural convection in an isosceles triangular enclosure filled with a nanofluid. (English) Zbl 1219.76047

Aminossadati, S. M.; Ghasemi, B.

Comput. Math. Appl. 61, No. 7, 1739-1753 (2011).

Summary: Natural convection is studied in an isosceles triangular enclosure with a heat source located at its bottom wall and filled with an Ethylene Glycol-Copper nanofluid. This paper examines the effects of pertinent parameters such as the Rayleigh number, the solid volume fraction, the heat source location, and the enclosure apex angle on the thermal performance of the enclosure. The thermal performance of the enclosure is improved with an increase in the Rayleigh number and solid volume fraction. The results also show that the variation of heat transfer rate with respect to the enclosure apex angle and heat source position and dimensions is different at low and high Rayleigh numbers. A comparison is also presented between the results obtained from the modified and original Maxwell models. The results show that the heat transfer is generally higher based on the modified Maxwell model.

MSC:

76R10	Free convection
76A99	Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena

Keywords:

isosceles triangular enclosure; natural convection; nanofluid; heat source

References:

[1]	Asan, H.; Namli, L., Laminar natural convection in a pitched roof of triangular cross-section: summer day boundary conditions, Energy and Buildings, 33, 1, 69-73 (2000)
[2]	Omri, A.; Orfi, J.; Nasrallah, S. B., Natural convection effects in solar stills, Desalination, 183, 1-3, 173-178 (2005)
[3]	Joudi, K. A.; Hussein, I. A.; Farhan, A. A., Computational model for a prism shaped storage solar collector with a right triangular cross section, Energy Conversion and Management, 45, 3, 391-409 (2004)
[4]	Ridouane, E. H.; Campo, A., Heightened thermal convection as a result of splitting a square cavity diagonally in half, Journal of Electronic Packaging, Transactions of the ASME, 128, 3, 251-258 (2006)
[5]	Ridouane, E. H.; Campo, A.; Chang, J. Y., Natural convection patterns in right-angled triangular cavities with heated vertical sides and cooled hypotenuses, Journal of Heat Transfer, 127, 10, 1181-1186 (2005)
[6]	Simons, R. E.; Antonnetti, V. W.; Nakayawa, W.; Oktay, S., Heat transfer in electronic packages, (Tummala, R.; etal., Microelectronics Packaging Handbook (1997), Chapman and Hall: Chapman and Hall New York), 315-403
[7]	Bar-Cohen, A.; Watwe, A. A.; Prasher, R. S., Heat transfer in electronic equipment, (Bejan, A.; Kraus, A. D., Heat Transfer Handbook (2003), John Wiley: John Wiley New York), (Chapter 13)
[8]	Bergles, A. E., Techniques to enhance heat transfer, (Rosehnow, W. M.; etal., Handbook of Heat Transfer (1999), McGraw-Hill: McGraw-Hill New York), (Chapter 11)
[9]	Ridouane, E. H.; Campo, A., Compounded heat transfer enhancement in enclosure natural convection by changing the cold wall shape and the gas composition, Journal of Heat Transfer, 129, 7, 827-834 (2007)
[10]	Choi, S. U.S., Enhancing thermal conductivity of fluids with nanoparticles, ASME Fluids Engineering Division, 231, 99-105 (1995)
[11]	Ogut, E. B., Natural convection of water-based nanofluids in an inclined enclosure with a heat source, International Journal of Thermal Sciences, 48, 11, 2063-2073 (2009)
[12]	Ogut, E. B., Heat transfer of water-based nanofluids with natural convection in a inclined square enclosure, Journal of Thermal Science and Technology, 30, 1, 23-33 (2010)
[13]	Kahveci, K., Buoyancy driven heat transfer of nanofluids in a tilted enclosure, Journal of Heat Transfer, 132, 6, 1-12 (2010)
[14]	Ghasemi, B.; Aminossadati, S. M., Natural convection heat transfer in an inclined enclosure filled with a water-CuO nanofluid, Numerical Heat Transfer, Part A Applications, 55, 8, 807-823 (2009) · Zbl 1176.76127
[15]	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, International Journal of Heat and Mass Transfer, 51, 17-18, 4506-4516 (2008) · Zbl 1144.80317
[16]	Abu-Nada, E., Effects of variable viscosity and thermal conductivity of \(Al_2 O_3\)-water nanofluid on heat transfer enhancement in natural convection, International Journal of Heat and Fluid Flow, 30, 4, 679-690 (2009)
[17]	Koo, J.; Kleinstreuer, C., A new thermal conductivity model for nanofluids, Journal of Nanoparticle Research, 6, 6, 577-588 (2004)
[18]	Prasher, R.; Bhattacharya, P.; Phelan, P. E., Thermal conductivity of nanoscale colloidal solutions (nanofluids), Physical Review Letters, 94, 2, 1-4 (2005)
[19]	Murshed, S. M.S.; Leong, K. C.; Yang, C., A combined model for the effective thermal conductivity of nanofluids, Applied Thermal Engineering, 29, 11-12, 2477-2483 (2009)
[20]	Maxwell, J. C., A Treatise on Electricity and Magnetism, vol. II (1873), Oxford University Press: Oxford University Press Cambridge, UK, p. 54 · JFM 05.0556.01
[21]	Yu, W.; Choi, S. U.S., The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model, Journal of Nanoparticle Research, 5, 1-2, 167-171 (2003)
[22]	Fuad Kent, E., Numerical analysis of laminar natural convection in isosceles triangular enclosures for cold base and hot inclined walls, Mechanics Research Communications, 36, 4, 497-508 (2009) · Zbl 1258.76149
[23]	Basak, T.; Roy, S.; Babu, S. K.; Balakrishnan, A. R., Finite element analysis of natural convection flow in a isosceles triangular enclosure due to uniform and non-uniform heating at the side walls, International Journal of Heat and Mass Transfer, 51, 4496-4505 (2008) · Zbl 1144.80305
[24]	Omri, A.; Najjari, M.; Nasrallah, S. B., Numerical analysis of natural buoyancy-induced regimes in isosceles triangular cavities, Numerical Heat Transfer, Part A Applications, 52, 7, 661-678 (2007)
[25]	Holtzman, G. A.; Hill, R. W.; Ball, K. S., Laminar natural convection in isosceles triangular enclosures heated from below and symmetrically cooled from above, Journal of Heat Transfer, 122, 3, 485-491 (2000)
[26]	Varol, Y.; Oztop, H. F.; Koca, A., Entropy production due to free convection in partially heated isosceles triangular enclosures, Applied Thermal Engineering, 28, 1502-1513 (2008)
[27]	Kent, E. F., Numerical analysis of laminar natural convection in isosceles triangular enclosures, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223, 5, 1157-1169 (2009)
[28]	Lei, C.; Armfield, S. W.; Patterson, J. C., Unsteady natural convection in a water-filled isosceles triangular enclosure heated from below, International Journal of Heat and Mass Transfer, 51, 11-12, 2637-2650 (2008) · Zbl 1143.80321
[29]	Ridouane, E. H.; Campo, A., Formation of a pitchfork bifurcation in thermal convection flow inside an isosceles triangular cavity, Physics of Fluids, 18, 7 (2006), Article Number: 074102 2006
[30]	Kent, E. F.; Asmaz, E.; Ozerbay, S., Laminar natural convection in right triangular enclosures, Heat and Mass Transfer/Waerme-und Stoffuebertragung, 44, 2, 187-200 (2007)
[31]	Kim, C. S.; Okuyama, K.; Fernandez De La Mora, J., Performance evaluation of an improved particle size magnifier (PSM) for single nanoparticle detection, Aerosol Science and Technology, 37, 10, 791-803 (2003)
[32]	Abu-Nada, E.; Masoud, Z.; Hijazi, A., Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids, International Communications in Heat and Mass Transfer, 35, 5, 657-665 (2008)
[33]	Brinkman, H. C., The viscosity of concentrated suspensions and solutions, Journal of Chemical Physics, 20, 571-581 (1952)
[34]	Palm, S.; Roy, G.; Nguyen, C. T., Heat transfer enhancement with the use of nanofluids in a radial flow cooling system considering temperature dependent properties, Applied Thermal Engineering, 26, 2209-2218 (2006)
[35]	Oztop, H. F.; Abu-Nada, E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, International Journal of Heat and Fluid Flow, 29, 5, 1326-1336 (2008)
[36]	Akbarinia, A.; Behzadmehr, A., Numerical study of laminar mixed convection of a nanofluid in horizontal curved tubes, Applied Thermal Engineering, 27, 1327-1337 (2007)
[37]	Patankar, S. V., Numerical Heat Transfer and Fluid Flow (1980), Hemisphere Publishing Corporation, Taylor and Francis Group: Hemisphere Publishing Corporation, Taylor and Francis Group New York, pp. 113-137
[38]	Varol, Y.; Koca, A.; Oztop, H. F., Natural convection in a triangle enclosure with flush mounted heater on the wall, International Communications in Heat and Mass Transfer, 33, 8, 951-958 (2006)
[39]	Aminossadati, S. M.; Ghasemi, B., Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure, European Journal of Mechanics—B/Fluids, 28, 630-640 (2009) · Zbl 1176.76127
[40]	Ghasemi, B.; Aminossadati, S. M., Periodic natural convection in a nanofluid-filled enclosure with oscillating heat flux, International Journal of Thermal Sciences, 49, 1, 1-9 (2010)
[41]	Ghasemi, B.; Aminossadati, S. M., Brownian motion of nanoparticles in a triangular enclosure with natural convection, International Journal of Thermal Sciences, 49, 6, 931-940 (2010)