Study of entropy generation and evaluation statistical heat transfer properties in turbulent flow

Document Type : Original Article

Authors

University of Zabol

Abstract

In this paper, effect of the nanoparticles diameter on the forced convection heat transfer of turbulent flow of Al2O3-water nanofluids in a circular tube under constant heat flux on the wall using of two phase mixture model numerically investigated and was statistical analysis. The Volume fraction of nanoparticles is %3, the Reynolds number is 5×104 and the variation of diameter of nanoparticles is assumed in the range of 20- 110nm. In the statistical analysis, from the continuous probability distribution functions such as Gamma, Normal, Lognormal, Gumbel, Weibull and Frechet were used. After reviewing the results, it was found that by increasing the diameter of nanoparticles, the Nusselt number is reduced and this parameter due to changes in the nanoparticles of diameter has followed of the Frechet probability distribution function.

Keywords


1. Azmi, W.H., Sharma, K.V., Sarma, P.K., Mamat, R., Anuar, Sh. and Sundar, L.S., "Numerical validation of experimental heat transfer coefficient with SiO2 nanofluid flowing in a tube with twisted tape inserts", Applied Thermal Engineering, Vol. 73, pp. 296-306, (2014).
2. Eiamsa-ard, S. and Kiatkittipong, K., "Heat transfer enhancement by multiple twisted tape inserts and TiO2/water nanofluid", Applied Thermal Engineering, Vol. 70, pp. 896-924, (2014).
3. Dawood, H. K., Mohammed, H.A., Che Sidik, N.A., Munisamy. K.M. and Wahid, M.A., "Forced natural and mixed-convection heat transfer and fluid flow in annulus: A review", International Communications in Heat and Mass Transfer, Vol. 62, pp. 45–57, (2015).
4. Sabaghan, A., Edalatpour, M., Charjouei Moghadam, M., Roohi, E. and Niazmand, H., "Nanofluid flow and heat transfer in a microchannel with longitudinal vortex generators: Two-phase numerical simulation", Applied Thermal Engineering, Vol. 100, pp. 179-189, (2016).
5. Shariat, M., Mokhtari Moghari, R., Akbarinia, A., Rafee, R. and Sajjadi, S.M., "Impact of nanoparticle mean diameter and the buoyancy force on laminar mixed convection nanofluid flow in an elliptic duct employing two phase mixture model", International Communications in Heat and Mass Transfer, Vol. 50, pp. 15–24, (2014).
6. Behzadmehr, A., Saffar-Avval, M. and Galanis, N., "Prediction of turbulent forced convection of a nanofluid in a tube with uniform heat flux using a two phase approach", International Journal of Heat and Fluid Flow, Vol. 28, pp. 211-219, (2007).
7. Nalwa, H.S., "Chemical Synthesis of Nanoparticles, Encyclopedia of nanoscience and nanotechnology", Vol. 6, pp. 757-759, (2004).
8. Mirmasoumi, S. and Behzadmehr, A., "Effect of nanoparticles mean diameter on mixed convection heat transfer of a nanofluid in a horizontal tube", International Journal of Heat and Fluid Flow, Vol. 6, pp. 706-714, (2009).
9. Akbarinia, A. and Laur, R., "Investigating the diameter of solid particles effects on a laminar nanofluid flow in a curved tube using a two phase approach", International Journal of Heat and Fluid Flow, Vol. 57, No.1, pp. 2739-2754, (1998).
10. Anoop, K.B., Sundararajan, T. and Das, S.K., "Effect of particle size on the convective heat transfer in nanofluid in the developing region", International Journal of Heat and Mass Transfer, Vol. 52, pp. 2189–2195, (2009).
11. Fani, B., Abbassi, A. and Kalteh, M., "Effect of nanoparticles size on thermal performance of nanofluid in a trapezoidal microchannel-heat-sink", International Communications in Heat and Mass Transfer, Vol. 45, pp. 155–161, (2013).
12. Mokhtari Moghari, R., Mujumdar, A.S., Shariat, M., Talebi, F., Sajjadi, S.M. and Akbarinia, A., "Investigation effect of nanoparticle mean diameter on mixed convection Al2O3-water nanofluid flow in an annulus by two phase mixture model", International Communications in Heat and Mass Transfer, Vol. 49, pp. 25–35, (2013).
13. Pak, B.C. and Cho, Y.I., "Hydrodynamic and heat transfer study of dispered fluids with submicron metallic oxide particles", Experimental Heat Transfer, Vol. 11, pp.151-170, (1998).
14. Abbasian Arani, A.A. and Amani, J., "Experimental study on the effect of TiO2–water nanofluid on heat transfer and pressure drop", Experimental Thermal and Fluid Science, Vol. 42, pp. 107–115, (2012).
15. Sajadi, A.R. and Kazemi, M.H., "Investigation of turbulent convective heat transfer and pressure drop of TiO2/water nanofluid in circular tube", International Communications in Heat and Mass Transfer, Vol. 38, pp. 1474–1478, (2011).
16. Beheshti, A., Keshavarz Moraveji, M. and Hejazian, M., "Comparative Numerical Study of Nanofluid Heat Transfer through an Annular Channel", Numerical Heat Transfer, Part A, Vol. 67, No.1, pp. 100-117, (2015).
17. Vahidinia, F., Keshtegar, B. and Miri, M., "Statistical analysis of the effect of nanoparticles volume fraction on turbulent forced convective heat transfer coefficient of nanofluid in a circular tube", Ciência eNatura, Santa Maria, Vol. 37, pp. 141−152, (2015).
18. Bianco, V., Manca. O. and Nardini, S., "Numerical investigation on nanofluids turbulent convection heat transfer inside a circular tube", International Journal of Thermal Sciences, Vol. 50, pp. 341-349, (2011).
19. Manninen, M., Taivassalo, V. and Kallio, S., "On the mixture model for multiphase flow", Technical Research Center of Finland, VTT Publications, Vol. 288, pp. 9–18, (1996).
20. Schiller, L. and Naumann, A., "A drag coefficient correlation", Z. Ver. Deutsch. Ing, Vol. 77, pp. 318–320, (1935).
21. Launder B.E. and Spalding, D.B., "Lectures in Mathematical Models of Turbulence", Academic Press, London, England, (1972).
22. Chon, C.H., Kihm, K.D., Lee, S.P. and Choi, S.U.S., "Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement", Appl. Phys. Lett, Vol. 87, pp. 1–3, (2005).
23. Masoumi, N., Sohrabi, N. and Behzadmehr, A., "A new model for calculating the effective viscosity of nanofluids", Journal of Physics D: Applied Physics, Vol. 42, pp. 1–6, (2009).
24. Gnielinski, V., "New equations for heat and mass transfer in turbulent pipe and channel flow", International Chemical Engineering, Vol. 16. pp. 359–368, (1976).
25. Petokhov, B.S., "Heat Transfer and Friction in Turbulent Pipe Flow with Variable Physical Properties", Academic Press, New York, Vol. 6, (1970).
26. Saha, G. and Paul, M.C., "Heat transfer and entropy generation of turbulent forced convection flow of nanofluids in a heated pipe", International Communications in Heat and Mass Transfer, Vol. 61, pp. 26–36, (2015).
27. Bejan, A., "Entropy generation minimization", Boca Raton: CRC Press, (1996).
28. Moghaddami, M., Mohammadzade, A. and Alem Varzane Esfehani S., "Second law analysis of nanofluid flow", Energy Conversion and Management, Vol. 52, pp. 1397–1405, (2011).
29. Bianco, V., Manca. O. and Nardini, S., "Performance analysis of turbulent convection heat transfer of Al2O3 water-nanofluid in circular tubes at constant wall temperature", Energy, Vol. 77, pp. 403-413, (2014).
30. Ebrahimi, A., Rikhtegar, F., Sabaghan, A. and Roohi, E., "Heat transfer and entropy generation in a microchannel with longitudinal vortex generators using nanofluids", Energy, Vol. 101, pp. 190–201, (2016).
31. Gulikers, J. and Raupach, M., "Preface. Modelling of reinforcement corrosion in concrete", Materials and Corrosion, Vol. 57, No. 8, pp. 603-604, (2006).
32. Gupta, S.P., "Statistical Method", New Dehli, (1997).
33. Rohatgi, V.K. and Ehsanes, S.A.K., "Introduction to probability and statistics", Macmillan published Company, New York, (2001).
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