Laminar natural convection of Cuwater nanofluid in concentric annuli with radial fins attached to the inner cylinder
 G. A. Sheikhzadeh,
 M. Arbaban,
 M. A. Mehrabian
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Laminar natural convection of Cuwater nanofluid between two horizontal concentric cylinders with radial fins attached to the inner cylinder is studied numerically. The inner and outer cylinders are maintained at constant temperature. The governing equations in the polar twodimensional space with the respective boundary conditions are solved using the finite volume method. The hybridscheme is used to discretize the convection terms. In order to couple the velocity field and the pressure in the momentum equations, the well known semiimplicit method for pressure linked equation reformed algorithm is adopted. Using the developed code, a parametric study is undertaken, and the effects of the Rayleigh number, Number of fins, length of the fins and the volume fraction of nanoparticles on the fluid flow and heat transfer inside the annuli are investigated. In this study, two cases with different number of fins are considered. It is observed from the results that the average Nusselt number increases with increasing both the Rayleigh number and the volume fraction of the nanoparticles. Moreover, the average Nusselt number decreases by increasing the fins’ length and the number of fins. Heat transfer rate increases by increasing the fins’ length at all Rayleigh numbers, but it increases by increasing the number of fins at high Rayleigh numbers.
Inside
Within this Article
 Introduction
 Problem definition and basic equations
 Numerical procedure
 Benchmarking of the code
 Optimum grid size
 Results and discussions
 Conclusions
 References
 References
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 Kuhen TH, Goldstein RJ (1976) An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders. Fluid Mech J 74:695–719 CrossRef
 Kuhen TH, Goldstein RJ (1978) An experimental study of natural convection heat transfer in concentric and eccentric horizontal cylindrical annuli. ASME J Heat Transf 100:635–640 CrossRef
 Kumar R (1988) Study of natural convection in horizontal annuli. Int J Heat Mass Transf 31:1137–1148 CrossRef
 Ho CJ, Li YH, Chen TC (1989) A numerical study of natural convection in concentric and eccentric horizontal cylindrical annuli with mixed boundary conditions. Int J Heat Fluid Flow 10:40–47 CrossRef
 Yeh CL (2002) Numerical investigation of threedimensional natural convection inside horizontal concentric annulus with specified wall temperature or heat flux convection in a horizontal annulus driven by inner heat generating solid cylinder. Int J Heat Mass Transf 45:775–784 CrossRef
 Chai JC, Patankar SV (1993) Laminar natural convection in internally finned horizontal annulus. Numer Heat Transf 24:67–87 CrossRef
 Rahnama M, Farhadi M (2004) Effect of radial fins on twodimensional turbulent natural convection in a horizontal annulus. Int J Therm Sci 43:255–264 CrossRef
 Maxwell JC (1873) Electricity and magnetism. Clarendon Press, Oxford, UK
 Choi SUS (1995) Enhancing thermal conductivity of fluid with nanoparticles, developments and applications of nonNewtonian flow. ASME FED 231:99–105
 Behzadmehr A, SaffarAvval M, Galanis N (2007) Prediction of turbulent forced convection of a nanofluid in a tube with uniform heat flux using a two phase approach. Int J Heat Fluid Flow 28:211–219 CrossRef
 Bianco V, Chiacchio F, Manca O, Nardini S (2009) Numerical investigation of nanofluids forced convection in circular tubes. J Appl Therm Eng 29:3632–3642 CrossRef
 Santra AK, Sen S, Chakraborty N (2009) Study of heat transfer due to laminar flow of copper–water nanofluid through two isothermally heated parallel plates. Int J Therm Sci 48:391–400 CrossRef
 Putra N, Roetzel W, Das SK (2003) Natural convection of nanofluids. Heat Mass Transf 39(8–9):775–784 CrossRef
 Wen D, Ding Y (2005) Formulation of nanofluids for natural convective heat transfer applications. Int J Heat Fluid Flow 26(6):855–864 CrossRef
 Jou RY, Tzeng SC (2006) Numerical research of nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures. Int Commun Heat Mass Transf 33:727–736 CrossRef
 Ho CJ, Liu WK, Chang YS, Lin CC (2010) Natural convection heat transfer of aluminawater nanofluid in vertical square enclosures: an experimental study. Int J Therm Sci 49(8):1345–1353 CrossRef
 Aminossadati SM, Ghasemi B (2011) Enhanced natural convection in an isosceles triangular enclosure filled with a nanofluid. Comput Math Appl 61(7):1739–1753 CrossRef
 Cho CC, Chen CL, Chen CK (2012) Natural convection heat transfer performance in complexwavywall enclosed cavity filled with nanofluid. Int J Therm Sci 60:255–263 CrossRef
 Arefmanesh A, Amini M, Mahmoodi M, Najafi M (2012) Buoyancydriven heat transfer analysis in twosquare duct annuli filled with a nanofluid. Eur J Mech B Fluids 33:95–102 CrossRef
 Mokhtari Moghari R, Akbarinia A, Shariat M, Talebi F, Laur R (2011) Two phase mixed convection Al_{2}O_{3}–water nanofluid flow in an annulus. Int J Multiph Flow 37(6):585–595 CrossRef
 Parvin S, Nasrin R, Alim MA, Hossain NF, Chamkha AJ (2012) Thermal conductivity variation on natural convection flow of water–alumina nanofluid in an annulus. Int J Heat Mass Transf 55(19–20):5268–5274 CrossRef
 Soleimani Sl, Sheikholeslami M, Ganji DD, GorjiBandpay M (2012) Natural convection heat transfer in a nanofluid filled semiannulus enclosure. Int Commun Heat Mass Transf 39(4):565–574 CrossRef
 AbuNada E, Masoud Z, Hijazi A (2008) Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids. Int Commun Heat Mass Transf 35:657–665 CrossRef
 AbuNada E (2009) Effect of variable viscosity and thermal conductivity of Al_{2}O_{3}water nanofluid on heat transfer enhancement in natural convection. Int J Heat Fluid Flow 30:679–690 CrossRef
 Incropera DP, Witt D (2005) Introduction to heat transfer, 3rd edn. Wiley, London
 Kenjeres S, Hanjalic K (1995) Prediction of turbulent thermal convection in concentric and eccentric horizontal annuli. Int J Heat Fluid Flow 16:429–439 CrossRef
 Title
 Laminar natural convection of Cuwater nanofluid in concentric annuli with radial fins attached to the inner cylinder
 Journal

Heat and Mass Transfer
Volume 49, Issue 3 , pp 391403
 Cover Date
 20130301
 DOI
 10.1007/s0023101210849
 Print ISSN
 09477411
 Online ISSN
 14321181
 Publisher
 SpringerVerlag
 Additional Links
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 Authors

 G. A. Sheikhzadeh ^{(1)}
 M. Arbaban ^{(1)}
 M. A. Mehrabian ^{(2)}
 Author Affiliations

 1. Department of Mechanical Engineering and Energy Research Institute, University of Kashan, Kashan, Iran
 2. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran