Investigation of Brownian Motion of CuO-Water Nanofluid in a Porous Cavity with Internal Heat Generation by Using of LTNE Model

Document Type : Research Paper

Authors

Mechanical Engineering Department, Sahand University of Technology, Sahand, Iran.

10.7508/jns.2015.03.005

Abstract

In this paper, the effect of the Brownian term in natural convection of CuO-Water nanofluid inside a partially filled porous cavity, with internal heat generation has been studied. It is assumed that the viscosity and thermal conductivity of nanofluid consists of a static part and a Brownian part of which is a function of temperature and the volume fraction of nanofluid. Because of internal heat generation, the two-equation model is used to separately account for the local solid matrix and nanofluid temperatures. To study the effect of Brownian term various parameters such as the Rayleigh number, volume fraction of nanofluid, porosity of the porous matrix, and conductivity ratio of porous media is examined and the flow and heat fields are compared to the results of non-Brownian solution. The results show that Brownian term reduces nanofluid velocity and make smoother streamlines and increasing the thermal conductivity leads to cooling of porous material and achieving more Nusselt. Also the greatest impact of Brownian term is in low-porosity, low Rayleigh or small thermal conductivity of the porous matrix. In addition, mounting the porous material increases the Brownian effect and heat transfer performance of nanofluid but increasing porosity up to 0.8 reduces this effect.

Keywords


[1] D. Nield, A. Bejan, Convection in Porous Media, Third Ed, New York: Springer, 2006.
[2] D. L.Youchison, B. E. Williams, R. E. Benander, (2011), Porous nuclear fuel element for high-temperature gas-cooled nuclear reactors, Patent No.: US 7,889,146 B1.Date of Patent: Mar. 1.
[3] K. Vafai, Porous Media: Applications in Biological Systems and Biotechnology, New York, CRC Press, 2010.
[4] M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, Journal of the Taiwan Institute of Chemical Engineers, 45 (2014) 40–49.
[5] J. Koo, C. Kleinstreuer, Journalof Nanoparticle Research, 6 (2004) 577–588.
[6] S.M. Aminossadati, B. Ghasemi, International Communications in Heat and Mass Transfer, 38 (2011) 672 –678.
[7] B. Ghasemi , S.M. Aminossadati, International Journal of Thermal Sciences, 49 (2011)  931-940.
[8] M. H. Kayhani, M. Nazari, E. Shakeri, Transp Porous Med, 87 (2011) 625–633.
[9] Sarita Pippal, P. Bera, International Journal of Heat and Mass Transfer, 56 (2013) 501–515.
[10] L. R. Mealey, J .H. Merkin, International         Journal of Thermal Sciences, 48 (2009) 1068-1080.
[11] C. Beckermann, S. Ramadhyani, R. Viskanta, Journal of Heat Transfer, 109 (1987) 363-370.
[12] S. B. Sathe, T. W. Tong, Int. comm. heat mass transfer, 15 (1988) 203-212.
[13] M.A. Sheremet, I. Pop, International Journal of Heat and Mass Transfer, 79 (2014) 137–145.
[14] M.A. Sheremet, I. Pop c, M.M. Rahman, International Journal of Heat and Mass Transfer, 82 (2015) 396–405.
[15] Q. Sun, I. Pop, Int. J. Therm. Sci, 50 (2011) 2141-2153.
[16] M. Mahmoodi, S. MazroueiSebdani, Superlattices and Microstructures, 52 (2012) 261-275.
[17] S. Ergun, ChemicalEngineering Progress, 48 (1952) 89-94.
[18] K. Khanafer, K. Vafai, M. Lightstone, International Journal of Heat and Mass Transfer, 46 (2003) 3639-3653.
[19] J. Koo, C. Kleinstreuer, Laminar nanofluid flow in microheat-sinks, International Journal of Heat and Mass Transfer. 48 (2005) 2652–2661.
[20] H. C. Brinkman, Journal of Chemical Physics, 20 (1952) 571-581.
[21]J. C. Maxwell-Garnett, Philosophical Transactions of the Royal Society A, 203 (1904) 385–420.
[22] H. F. Oztop, E. Abu-Nada, International Journal of Heat and Fluid Flow, 29 (2008) 1326–1336.
[23] S.W. Patankar, Numerical Heat Transfer and Fluid Flow. NewYork:McGraw-Hill, 1980.
[24] A. Zehforoosh, S. Hossainpour, Mechanical Engineering, 14 (2015) 34-44.