International Scientific Journal


In this paper, flow characteristics, heat transfer and entropy generation in a rotating curved duct are studied numerically. The continuity, Navier-Stokes and energy equations are solved using control volume method. The effects of Dean number, non-dimensional wall heat flux, and force ratio (the ratio of Coriolis to centrifugal forces) on the entropy generation due to friction and heat transfer irreversibility and also overall entropy generation are presented. Optimal thermal operating conditions (based on dimensionless parameters) are determined from the viewpoint of thermodynamics second law. The comparison of numerical results at different force ratios indicates that for any fixed Dean number or non-dimensional heat flux, the minimal frictional entropy generation occurs when the Coriolis and centrifugal forces have the same value but in the opposite direction. For a specific non-dimensional heat flux, there is a force ratio with maximum heat transfer irreversibility which depends on Dean number. Based on optimal analysis, the optimal force ratio with minimal total entropy generation depends on heat flux and Dean number.
PAPER REVISED: 2013-01-28
PAPER ACCEPTED: 2013-03-01
CITATION EXPORT: view in browser or download as text file
  1. Chandratilleke, T.T., Secondary flow characteristics and convective heat transfer in a curved rectangular duct with external heating, in: Proceeding of 5th World Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics, ExHFT-5, Thessaloniki, Greece, 2001, pp. 24-28
  2. Chandratilleke, T.T., Nursubyakto, Numerical prediction of secondary flow and convective heat transfer in externally heated curved rectangular ducts, International Journal of Thermal Sciences, 42 (2003), pp.187-198
  3. Boutabaa, M., et al., Numerical study of Dean vortices in developing Newtonian and viscoelastic flows through a curved duct of square cross-section, C. R. Mecanique, 337 (2009), pp. 40-47
  4. Zhang, J.S., Zhang, B.Z., Ju, J.W., Fluid flow in a rotating curved rectangular duct, International Journal of Heat and Fluid Flow, 22 (2001), pp. 583-592
  5. Zhang, B.Z., et al., The perturbation solutions of the flow in a curved rotating annular pipe, Journal of Hydrodynamics, 13 (2001), pp. 75-80
  6. Papa, F., et al., Numerical calculation of developing laminar flow in rotating ducts with a 180-deg bend, International Journal Numerical Methods for Heat & Fluid Flow, 12 (2002), (7) , pp.780- 799
  7. Nobari, M.R.H., Nousha, A., Damangir, E., A numerical investigation of flow and heat transfer in rotating U-shaped square ducts, International Journal of Thermal Sciences, 48 (2009), pp. 590-601
  8. Ma, J.F, et al., Laminar developing flow in the entrance region of rotating curved pipes, Journal of Hydrodynamics Ser.B, 18 (2006), (4), pp. 418-423
  9. Bejan, A., Entropy Generation Through Heat and Fluid Flow, Wiley, New York, USA, 1982
  10. Bejan, A., Entropy Generation Minimization, CRC Press, Boca Raton, FL, 1996
  11. Guo, J., Xu, M., Cheng, L., Second law analysis of curved rectangular channels, International Journal of Thermal Sciences, 50 (2011), 5, pp.760-768
  12. Guo, J., et al., The effect of temperature-dependent viscosity on entropy generation in curved square microchannel, Chemical Engineering and Processing: Process Intensification, 52 (2012), pp.85-91
  13. Jarungthammachote, S., Entropy generation analysis for fully developed laminar convection in hexagonal duct subjected to constant heat flux, Energy, 35 (2010), 12, pp. 5374-5379
  14. Chakraborty, S., Ray, S., Performance optimization of laminar fully developed flow through square ducts with rounded corners, International Journal of Thermal Sciences, 50 (2011), 12, pp.2522-2535
  15. Esfahani, J.A., Shahabi, P.B., Effect of non-uniform heating on entropy generation for the laminar developing pipe flow of a high Prandtl number fluid, Energy Conversion and Management, 51 (2010), 11, pp.2087-2097
  16. Nourollahi, M., Farhadi, M., Sedighi, K., Numerical study of mixed convection and entropy generation in the Poiseulle-Benard channel in different angles, Journal Thermal Science, 14 ( 2010), 2, pp. 329-340
  17. Ko, T.H., Ting, K., Entropy generation and optimal analysis for laminar forced convection in curved rectangular ducts: A numerical study, International Journal of Thermal Sciences, 45 (2006), pp. 138-150
  18. Ko, T.H., Numerical investigation on laminar forced convection and entropy generation in a curved rectangular duct with longitudinal ribs mounted on the heated wall, International Journal of Thermal Science, 45 (2006), pp. 390-404
  19. Ko, T.H., A numerical study on entropy generation and optimization for laminar forced convection in a rectangular curved duct with longitudinal ribs, International Journal of Thermal Science, 45 (2006), pp. 1113-1125
  20. Amani, E., Nobari, M.R.H., A numerical investigation of entropy generation in the entrance region of curved pipes at constant wall temperature, Energy, 36 (2011), 8, pp. 4909-4918
  21. Amani, E., Nobari, M. R. H., A Numerical Study of Entropy Generation in the Entrance Region of Curved Pipes, Heat Transfer Engineering, 31 (2010), 14, pp. 1203-1212
  22. Ishigaki, H., Fundamental Characteristics of Laminar flows in a Rotating Curved pipe, Trans. JSME, 59-561-B ) 1993(, pp.1494-1501
  23. Ishigaki,H., Laminar flows in rotating curved pipes, Journal of Fluid Mechanics, 329 ) 1996 (, pp. 373-388
  24. Patankar, S.V., Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, D.C., 1980
  25. Hille, P., Vehrenkamp, R., Schulz- Bubois, E.O., The development and structure of primary and secondary flow in a curved square duct, Journal of Fluid Mechanics, 151 (1985), pp. 219-241
  26. Papadopoulos, P.K., Hatzikonstantinou, P.M., Thermally developing flow in curved square ducts with internal fins, Heat and Mass Transfer, 42 (2005), pp. 30-38
  27. Hesselgreaves, J.E., Rationalisation of second law analysis of heat exchangers, International Journal of Heat Mass Transfer, 43 (2000), 22, 4189-4204.

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence