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Numerical analysis of entropy generation in concentric curved annular ducts

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Abstract

The entropy generation has been numerically investigated in concentric curved annular square ducts under constant wall temperature boundary condition. The problem has been assumed to be steady, hydrodynamically and thermally fully developed and incompressible laminar flow with constant physical properties. The solutions of discretized equations for continuity, momentum and energy have been obtained by using an elliptic Fortran Program based on the SIMPLE algorithm. Solutions have been achieved for i) Dean numbers ranging from 3.6 to 207.1, ii) Annulus dimension ratios of 5.5, 3.8, 2.9 and 2.36, and iii) Prandtl number of 0.7. In this regard, local entropy generation as well as overall entropy generation in the whole flow field has been analyzed in detail. Moreover, the effects of Dean number and annulus dimension ratio on entropy generation arising from the friction and heat transfer have been investigated. Accordingly, it is concluded that the effect of volumetric entropy generation that is a result of fluid frictional irreversibility can be neglected as compared with volumetric entropy generation due to heat transfer irreversibility. As Dean number increases, the distribution of volumetric entropy generation coming out from the heat transfer irreversibility is formed by the temperature field, which is depending on the curvature.

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References

  1. H. K. Choi and S. O. Park, Laminar entrance flow in curved annular ducts, Int. J. Heat Fluid Flow, 13(1) (1992) 41–49.

    Article  Google Scholar 

  2. H. K. Choi and S. O. Park, Mixed convection flow in curved annular ducts, Int. J. Heat Mass Transfer, 37(17) (1994) 2761–2769.

    Article  MATH  Google Scholar 

  3. M. A. Petrakis and G. T. Karahalios, Fluid flow behaviour in a curved annular conduit, Int. J. Non-Linear Mech., 34 (1999) 13–25.

    Article  MATH  Google Scholar 

  4. S. Garimella, D. E. Richards and R. N. Christensen, Experimental investigation of heat transfer in coiled annular ducts, J. Heat Transfer, 110 (1988) 329–336.

    Article  Google Scholar 

  5. M. A. Petrakis and G. T. Karahalios, Exponentially decaying flow in a gently curved annular pipe, Int. J. Non-Linear Mech., 32(5) (1997) 823–835.

    Article  MATH  Google Scholar 

  6. H. Kucuk and H. Asan, A numerical study on heat and fluid flow in concentric curved annular square ducts, Heat Transfer Engineering, 30(5) (2009) 383–392.

    Article  Google Scholar 

  7. H. Kucuk and H. Asan, Forced convection heat transfer in eccentric curved annular square ducts, J. Thermal Science Technology, 29(1) (2009) 67–78. (http://tibtd.org.tr/2009-1/67-78.pdf).

    Google Scholar 

  8. A. Bejan, Entropy Generation Minimization, CRC Press, Boca Raton, FL, (1996).

    MATH  Google Scholar 

  9. A. Bejan, Entropy Generation through Heat and Fluid Flow, Wiley, New York, (1982).

    Google Scholar 

  10. T. H. Ko and K. Ting, Entropy generation and optimal analysis for laminar forced convection in curved rectangular ducts: a numerical study, Int. J. Thermal Science, 45(2) (2006) 138–150.

    Article  Google Scholar 

  11. T. H. Ko, Numerical investigation on laminar forced convection and entropy generation in a curved rectangular duct with longitudinal ribs mounted on heated wall, Int. J. Thermal Science, 45(4) (2006) 390–404.

    Article  Google Scholar 

  12. T. H. Ko and K. Ting, Entropy generation and thermodynamic optimization of fully developed laminar convection in a helical coil, Int. Comm. Heat Mass Transfer, 32 (2005) 214–223.

    Article  Google Scholar 

  13. T. H. Ko, Thermodynamic analysis of optimal curvature ratio for fully developed laminar forced convection in a helical coiled tube with uniform heat flux, Int. J. Thermal Science, 45(7) (2006) 729–737.

    Article  Google Scholar 

  14. T. H. Ko and C.S. Cheng, Numerical investigation on developing laminar forced convection and entropy generation in wavy channel, Int. Comm. Heat Mass Transfer, 34 (2007) 924–933.

    Article  Google Scholar 

  15. T. H. Ko, Numerical analysis of entropy generation and optimal Reynolds number for developing laminar forced convection in double-sine ducts with various aspect ratios, Int. J. Mass Heat Transfer, 49(3–4) (2006) 718–726.

    Article  MATH  Google Scholar 

  16. T. H. Ko, A numerical study on entropy generation and optimization for laminar forced convection in a rectangular curved duct with longitudinal ribs, Int. J. Thermal Science, 45(11) (2006) 1113–1125.

    Article  Google Scholar 

  17. S. Mahmud and R. A. Fraser, Second law analysis of heat transfer and fluid flow inside a cylindrical annular space, Exergy, Int. J. 2 (2002) 322–329.

    Article  Google Scholar 

  18. M. Yari, Second-law analysis of flow and heat transfer inside a microannulus, Int. Comm. Heat Mass Transfer, 36(1) (2009) 78–87.

    Article  MathSciNet  Google Scholar 

  19. Y. Demirel and R. Kahraman, Thermodynamic analysis of convective heat transfer in an annular packed bed, Int. J. Heat Fluid Flow, 21(4) (2000) 442–448.

    Article  Google Scholar 

  20. S. Mahmud and R. A. Fraser, The second law analysis in fundamental convective heat transfer problems, Int. J. Thermal Science, 42(2) (2003) 177–186.

    Article  Google Scholar 

  21. R. S. R. Gorla, L. W. Bydr and D. M. Pratt, Second law analysis for microscale flow and heat transfer, Applied Thermal Engineering, 27(8–9) (2007) 1414–1423.

    Article  Google Scholar 

  22. S. H Tasnim and S. Mahmud, Mixed convection and entropy generation in a vertical annular space, Exergy, Int. J., 2 (2002) 373–379.

    Article  Google Scholar 

  23. S. Mahmud and R. A. Fraser, Analysis of entropy generation inside concentric cylindrical annuli with relative rotation, Int. J. Thermal Science, 42(5) (2003) 513–521.

    Article  Google Scholar 

  24. Z. F. Dong and M. A. Ebadian, Effects of buoyancy on laminar flow in curved elliptic ducts, J. Heat Transfer, 114 (1992) 936–943.

    Article  Google Scholar 

  25. T. W. Gyves and T. F. Irvine, Laminar conjugated forced convection heat transfer in curved rectangular channels, Int. J. Heat Mass Transfer, 43 (2000) 3953–3964.

    Article  MATH  Google Scholar 

  26. T. W. Gyves, A Numerical Solution to Conjugated Mixed Convection Heat Transfer in Curved Square Channel, Ph.D. Thesis, State University of New York at Stony Brook, USA, (1997).

    Google Scholar 

  27. H. Asan and H. Kucuk, A numerical computation of heat and fluid flow in L-shaped curved channels, Heat Transfer Engineering, 28 (2007) 112–119.

    Article  Google Scholar 

  28. T. W. Gyves, T. F. Irvine and M. H. N. Naraghi, Gravitational and centrifugal buoyancy effects in curved square channels with conjugated boundary conditions, Int. J. Heat Mass Transfer, 42 (1999) 2015–2029.

    Article  MATH  Google Scholar 

  29. K. C. Cheng and M. Akiyama, Laminar forced convection heat transfer in curved rectangular channels, Int. J. Heat Mass Transfer, 13 (1970) 471–490.

    Article  MATH  Google Scholar 

  30. Z. F. Dong and M. A. Ebadian Numerical analysis of laminar flow in curved elliptic ducts, J. Fluids Engineering, 113 (1991) 555–562.

    Article  Google Scholar 

  31. P. J. Roache, Computational Fluid Dynamics, Hermosa, Albuquerque, New Mexico, (1982).

  32. H. L. Stone, Iterative solution of implicit approximations of multi-dimensional partial differential equations, SIAM J. Numerical Analysis, 5 (1968) 530–558.

    Article  MATH  Google Scholar 

  33. S. Paoletti, F. Rispoli and E. Sciubba, Calculation of exergetic losses in compact heat exchanger passages, ASME AES, 10 (1989) 21–29.

    Google Scholar 

  34. K. C. Cheng, R-C. Lin and J-W. Ou, Fully developed laminar flow in curved rectangular channels, J. Fluid Engineering, 98 (1976) 41–48.

    Google Scholar 

  35. Y. Komiyama, F. Mikami, K. Okui and T. Hori, Laminar forced convection heat transfer in curved rectangular cross-section, Heat Transfer Japanese Research, 22 (1984) 68–91.

    Google Scholar 

  36. G. J. Hwang and C.-H. Chao, Forced laminar convection in a curved isothermal square duct, J. Heat Transfer, 113 (1991) 48–55.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Gümüşhane University, 29000, Gümüşhane, Turkey

    Haydar Kucuk

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  1. Haydar Kucuk
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Correspondence to Haydar Kucuk.

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This paper was recommended for publication in revised form by Associate Editor Tong Seop Kim

Haydar Kucuk is an assistant professor at Gümüşhane University, Gümüşhane, Turkey. He received his M.Sc. and Ph.D. degrees from Karadeniz Technical University, Mechanical Engineering Department in Trabzon, Turkey in 1998 and 2003, respectively. His research interests involve numerical heat transfer and fluid flow, drying and drying models, energy and exergy analyses and thermodynamics. He serves as referee for international prestigious journals. He has participated national and international research projects as a researcher.

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Kucuk, H. Numerical analysis of entropy generation in concentric curved annular ducts. J Mech Sci Technol 24, 1927–1937 (2010). https://doi.org/10.1007/s12206-010-0629-4

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  • DOI: https://doi.org/10.1007/s12206-010-0629-4

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