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Heat Transfer Research
Facteur d'impact: 0.404 Facteur d'impact sur 5 ans: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018025797
pages 1183-1204


Toygun Dagdevir
Department of Mechanical Engineering, Faculty of Engineering, Erciyes University, Kayseri 38039, Turkey
Orhan Keklikcioglu
Department of Mechanical Engineering, Faculty of Engineering, Erciyes University, Kayseri 38039, Turkey
Veysel Ozceyhan
Department of Mechanical Engineering, Faculty of Engineering, Erciyes University, Kayseri 38039, Turkey


The effect of chamfer length c and nanoparticle volume fraction q on heat transfer and fluid flow is investigated numerically for water-Al2O3 nanofluid flow through various chamfered ducts of square cross section. A mixture model is used for the nanofluid flow analyses based on the finite volume method. Chamfer lengths of the ducts are assumed to be 1.0, 2.0, 3.0 and 4.0 mm; and the volume fraction of Al2O3 nanoparticles, where diameter is 10 nm, are considered as 0.01, 0.02, and 0.03. The fluid flow is examined under turbulent flow conditions (4000 ≤ Re ≤ 10,000). The results show that as the nanoparticle volume fraction increases, heat transfer and pressure drop increase in all the cases considered. Moreover, increasing the chamfer length of the duct has a positive effect on convective heat transfer, despite the negative effect on the pressure drop. The highest thermohydraulic performance is obtained as 1.118 for the case of c = 4 mm, φ = 0.03, and Re = 4000.


  1. Abdolbaqi, M., Azwadi, C., and Mamat, R., Heat Transfer Augmentation in the Straight Channel by Using Nanofluids, Case Studies Therm. Eng., vol. 3, pp. 59-67, 2014.

  2. Ahmed, S. and Brundrett, E., Characteristic Lengths for Non-Circular Ducts, Int. J. Heat Mass Transf., vol. 14, no. 1, pp. 157-159, 1971.

  3. Asirvatham, L.G., Raja, B., Lal, D.M., and Wongwises, S., Convective Heat Transfer of Nanofluids with Correlations, Particuology, vol. 9, no. 6, pp. 626-631, 2011.

  4. Bandopadhayay, P. and Ambrose, C., A Generalized Length Dimension for Non-Circular Ducts, Lett. Heat Mass Transf., vol. 7, no. 5, pp. 323-328, 1980.

  5. Bas, H. and Ozceyhan, V., Heat Transfer Enhancement in a Tube with Twisted Tape Inserts Placed Separately from the Tube Wall, Exp. Therm. Fluid Sci., vol. 41, Suppl. C, pp. 51-58, 2012.

  6. Beheshti, A., Moraveji, M.K., and Hejazian, M., Comparative Numerical Study of Nanofluid Heat Transfer through an Annular Channel, Numer. Heat Transf., Part A: Appl., vol. 67, no. 1, pp. 100-117, 2015.

  7. 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, Int. J. Heat Fluid Flow, vol. 28, no. 2, pp. 211-219, 2007.

  8. Bianco, V., Manca, O., and Nardini, S., Numerical Investigation on Nanofluids Turbulent Convection Heat Transfer inside a Circular Tube, Int. J. Therm. Sci., vol. 50, no. 3, pp. 341-349, 2011.

  9. Choi, S.U.S., Enhancing Thermal Conductivity of Fluids with Nanoparticles, in Developments and Application of Non-Newtonian Flows, D.A. Siginer and H.P. Wang, Eds., New York: ASME, pp. 99-105, 1995.

  10. Daungthongsuk, W. and Wongwises, S., A Critical Review of Convective Heat Transfer of Nanofluids, Renew. Sustain. Energy Rev., vol. 11, no. 5, pp. 797-817, 2007.

  11. Dawood, H., Mohammed, H., and Munisamy, K., Heat Transfer Augmentation Using Nanofluids in an Elliptic Annulus with Constant Heat Flux Boundary Condition, Case Studies Therm. Eng., vol. 4, pp. 32-41, 2014.

  12. Deissler, R. and Taylor, M., Analysis of Turbulent Flow and Heat Transfer in Noncircular Passages, Tech. Rep., NACA Technical note, 1958.

  13. Duan, Z., Yocanovich, M., and Muzychka, Y., Pressure Drop for Fully Developed Turbulent Flow in Circular and Noncircular Ducts, J. Fluids Eng., vol. 134, no. 6, pp. 1-10, 2012.

  14. Duangthongsuk, W. and Wongwises, S., An Experimental Study on the Heat Transfer Performance and Pressure Drop of TiO2-Water Nanofluids Flowing under a Turbulent Flow Regime, Int. J. Heat Mass Transf., vol. 53, no. 1, pp. 334-344, 2010.

  15. Eckert, E. and Low, G.M., Temperature Distribution in Internally Heated Walls of Heat Exchangers Composed of Nonnuclear Flow Passages, Tech. Rep., NACA Report, National Advisory Committee for Aeronautics, Lewis Flight Propulsion Lab., Cleveland, OH, United States, 1951.

  16. ANSYS, ANSYS Fluent V.17.0 User Guide, Lebanon, New Hampshire: Fluent Corporation, 2016.

  17. Gnielinski, V., New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow, Int. Chem. Eng., vol. 27, pp. 359-368, 1976.

  18. Gunes, S., Ozceyhan, V., and Buyukalaca, O., The Experimental Investigation of Heat Transfer and Pressure Drop in a Tube with Coiled Wire Inserts Placed Separately from the Tube Wall, Appl. Therm. Eng., vol. 30, no. 13, pp. 1719-1725, 2010.

  19. Hamilton, R. and Crosser, O., Thermal Conductivity of Heterogeneous Two-Component Systems, Ind. Eng. Chem. Fund., vol. 1, no. 3, pp. 187-191, 1962.

  20. He, S. and Gotts, J., Calculation of Friction Coefficients for Noncircular Channels, ASME J. Fluids, vol. 126, no. 1, pp. 1013-1038, 2004.

  21. He, Y., Jin, Y., Chen, H., Ding, Y., Cang, D., and Lu, H., Heat Transfer and Flow Behavior of Aqueous Suspensions of TiO2 Nanoparticles (Nanofluids) Flowing Upward through a Vertical Pipe, Int. J. Heat Mass Transf., vol. 50, no. 11, pp. 2272-2281, 2007.

  22. Hejazian, M., Moraveji, M.K., and Beheshti, A., Comparative Study of Euler and Mixture Models for Turbulent Flow of Al2O3 Nanofluid inside a Horizontal Tube, Int. Commun. Heat Mass Transf., vol. 52, pp. 152-158, 2014.

  23. Heyhat, M., Kowsary, F., Rashidi, A., Esfehani, S.A.V., and Amrollahi, A., Experimental Investigation of Turbulent Flow and Convective Heat Transfer Characteristics of Alumina Water Nanofluids in Fully Developed Flow Regime, Int. Commun. Heat Mass Transf., vol. 39, no. 8, pp. 1272-1278, 2012.

  24. Incropera, E.P., DeWitt, D.P., Bergman, T.L., and Lavine, A.S., Fundamentals of Heat and Mass Transfer, 6th Edition, New York: John Wiley & Sons, 2011.

  25. Kakac, S. and Pramuanjaroenkij, A., Review of Convective Heat Transfer Enhancement with Nanofluids, Int. J. Heat Mass Transf., vol. 52, no. 13, pp. 3187-3196, 2009.

  26. Keklikcioglu, O. and Ozceyhan, V., Experimental Investigation on Heat Transfer Enhancement of a Tube with Coiled-Wire Inserts Installed with a Separation from the Tube Wall, Int. Commun. Heat Mass Transf., vol. 78, Suppl. C, pp. 88-94, 2016.

  27. Keklikcioglu, O. and Ozceyhan, V., Entropy Generation Analysis for a Circular Tube with Equilateral Triangle Cross-Sectioned Coiled-Wire Inserts, Energy, vol. 139, Suppl. C, pp. 65-75, 2017.

  28. Khoshvaght-Aliabadi, M., Arani, Z., and Rahimpour, F., Influence of Al2O3-H2O Nanofluid on Performance of Twisted Minichannels, Adv. Powder Technol., vol. 27, no. 4, pp. 1514-1525, 2016.

  29. Khoshvaght-Aliabadi, M., Hormozi, F., and Zamzamian, A., Effects of Geometrical Parameters on Performance of Plate-Fin Heat Exchanger: Vortex-Generator as Core Surface and Nanofluid as Working Media, Appl. Therm. Eng., vol. 70, no. 1, pp. 565-579, 2014.

  30. Kumar, R., Varun, and Kumar, A., Thermal and Fluid Dynamic Characteristics of Flow through Triangular Cross-Sectional Duct: A Review, Renew. Sustain. Energy Rev., vol. 61, pp. 123-140, 2016.

  31. Leung, C. and Probert, S., Forced-Convective Internal Cooling of a Horizontal Equilateral-Triangle Cross-Sectioned Duct, Appl. Energy, vol. 50, no. 4, pp. 313-321, 1995.

  32. Lotfi, R., Saboohi, Y., and Rashidi, A., Numerical Study of Forced Convective Heat Transfer of Nanofluids: Comparison of Different Approaches, Int. Commun. Heat Mass Transf., vol. 37, no. 1, pp. 74-78, 2010.

  33. Manninen, M., Taivassalo, V., and Sirpa, K., On the Mixture Model for Multiphase Flow, VTT Publications, no. 288, p. 67, 1996.

  34. Maxwell, J.C., A Treatise on Electricity and Magnetism, vol. 1, England: The Clarendon Press, 1904.

  35. Mirmasoumi, S. and Behzadmehr, A., Numerical Study of Laminar Mixed Convection of a Nanofluid in a Horizontal Tube Using Two-Phase Mixture Model, Appl. Therm. Eng., vol. 28, no. 7, pp. 717-727, 2008.

  36. Moghadassi, A., Ghomi, E., and Parvizian, F., A Numerical Study of Water Based Al2O3 and Al2O3Cu Hybrid Nanofluid Effect on Forced Convective Heat Transfer, Int. J. Therm. Sci., vol. 92, pp. 50-57, 2015.

  37. Moraveji, M.K. and Esmaeili, E., Comparison between Single-Phase and Two-Phases CFD Modeling of Laminar Forced Convection Flow of Nanofluids in a Circular Tube under Constant Heat Flux, Int. Commun. Heat Mass Transf., vol. 39, no. 8, pp. 1297-1302, 2012.

  38. Notter, R. and Rouse, M., A Solution to the Graetz Problem III. Fully Developed Region Heat Transfer Rates, Chem. Eng. Sci., vol. 27, pp. 2073-2073, 1972.

  39. Pak, B.C. and Cho, Y.I., Hydrodynamic and Heat Transfer Study of Dispersed Fluids with Submicron Metallic Oxide Particles, Exp. Heat Transf., vol. 11, no. 2, pp. 151-170, 1998.

  40. Petukhov, B., Heat Transfer and Friction in Turbulent Pipe Flow with Variable Physical Properties, Adv. Heat Transf., vol. 6, pp. 503-564, 1970.

  41. Rashidi, M.M., Hosseini, A., Pop, I., Kumar, S., and Freidoonimehr, N., Comparative Numerical Study of Single and Two- Phase Models of Nanofluid Heat Transfer in Wavy Channel, Appl. Math. Mech., vol. 35, no. 7, pp. 831-848, 2014.

  42. Rehme, K., Simple Method of Predicting Friction Factors of Turbulent Flow in Non-Circular Channels, Int. J. Heat Mass Transf., vol. 16, no. 5, pp. 933-950, 1973.

  43. Saidur, R., Leong, K., and Mohammad, H., A Review on Applications and Challenges of Nanofluids, Renew. Sustain. Energy Rev., vol. 15, no. 3, pp. 1646-1668, 2011.

  44. Schiller, L. and Naumann, A., A Drag Coefficient Correlation, VDIZ., vol. 135, pp. 77-51, 1935.

  45. Sunden, B. and Xie, G., Gas Turbine Blade Tip Heat Transfer and Cooling: A Literature Survey, Heat Transf. Eng., vol. 31, no. 7, pp. 527-554, 2010.

  46. Trisaksri, V. and Wongwises, S., Critical Review of Heat Transfer Characteristics of Nanofluids, Renew. Sustain. Energy Rev., vol. 11, no. 3, pp. 512-523, 2007.

  47. Vanaki, S., Ganesan, P., and Mohammed, H., Numerical Study of Convective Heat Transfer of Nanofluids: A Review, Renew. Sustain. Energy Rev., vol. 54, pp. 1212-1239, 2016.

  48. Wang, X.Q. and Mujumdar, A.S., Heat Transfer Characteristics of Nanofluids: A Review, Int. J. Therm. Sci., vol. 46, no. 1, pp. 1-19, 2007.

  49. Wen, D., Lin, G., Vafaei, S., and Zhang, K., Review of Nanofluids for Heat Transfer Applications, Particuology, vol. 7, no. 2, pp. 141-150, 2009.

  50. White, F., Viscous Fluid Flow, 2nd Edition, New York: McGraw Hill, 1991.

  51. Yilmaz, T. and Cihan, E., General Equation for Heat Transfer for Laminar Flow in Ducts of Arbitrary Cross-Sections, Int. J. Heat Mass Transf., vol. 36, no. 13, pp. 3265-3270, 1993.

  52. Yilmaz, T. and Cihan, E., An Equation for Laminar Flow Heat Transfer for Constant Heat Flux Boundary Condition in Ducts of Arbitrary Cross-Sectional Area, J. Heat Transf., vol. 117, no. 3, pp. 765-766, 1995.