THERMAL SCIENCE

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Kamil Arslan

THREE-DIMENSIONAL NUMERICAL INVESTIGATION OF TURBULENT FLOW AND HEAT TRANSFER INSIDE A HORIZONTAL SEMI-CIRCULAR CROSS-SECTIONED DUCT

ABSTRACT
In this study, steady-state turbulent forced flow and heat transfer in a horizontal smooth semi-circular cross-sectioned duct was numerically investigated. The study was carried out in the turbulent flow condition where Reynolds numbers range from 1×104 to 5.5×104. Flow is hydrodynamically and thermally developing (simultaneously developing flow) under uniform surface heat flux with uniform peripheral wall heat flux (H2) boundary condition on the duct’s wall. A commercial CFD program, Ansys Fluent 12.1, with different turbulent models was used to carry out the numerical study. Different suitable turbulence models for fully turbulent flow (k-ε Standard, k-ε Realizable, k-ε RNG, k-ω Standard and k-ω SST) were used in this study. The results have shown that as the Reynolds number increases Nusselt number increases but Darcy friction factor decreases. Based on the present numerical solutions, new engineering correlations were presented for the average Nusselt number and average Darcy friction factor. The numerical results for different turbulence models were compared with each other and similar experimental investigations carried out in the literature. It is obtained that, k-ε Standard, k-ε Realizable and k-ε RNG turbulence models are the most suitable turbulence models for this investigation. Isovel contours of velocity magnitude and temperature distribution for different Reynolds numbers, turbulence models and axial stations in the duct were presented graphically. Also, local heat transfer coefficient and local Darcy friction factor as function of dimensionless position along the duct were obtained in this investigation.
KEYWORDS
simultaneously developing flow, forced convection, semicircular cross-sectioned duct, friction factor, heat transfer coefficient, turbulent flow, Ansys Fluent
PAPER SUBMITTED: 2011-07-24
PAPER REVISED: 2012-11-09
PAPER ACCEPTED: 2013-06-03
PUBLISHED ONLINE: 2013-06-16
DOI REFERENCE: https://doi.org/10.2298/TSCI110724065A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 4, PAGES [1145 - 1158]
REFERENCES
  1. Shah, R. K. and London, A. L., Laminar Flow Forced Convection in Ducts, Academic Press Inc., New York, USA, 1978, pp. 256-259.
  2. Kakaç, S., Shah, R. K. and Aung, W., Handbook of Single-Phase Convective Heat Transfer, John Wiley and Sons, USA, 1987, Chapter 3, pp. 4.
  3. Kakaç, S. and Liu, H., Heat Exchangers Selection, Rating, and Thermal Design, 2nd ed., CRC Press, USA, 2002, pp. 81-127.
  4. Eckert, E. R. G., Irvine, T. F. J. and Yen, T. J., Local Laminar Heat Transfer in Wedge-Shaped Passages, Transactions of the American Society of Mechanical Engineers, 80 (1958), pp. 1433- 1438.
  5. Berbish, N. S., Moawed, M., Ammar, M. and Afifi, R. I., Heat Transfer and Friction Factor of Turbulent Flow through a Horizontal Semi-Circular Duct, Heat and Mass Transfer, 47 (2011), pp. 377-384.
  6. Hong, S. W. and Bergles, A. E., Laminar Flow Heat Transfer in the Entrance Region of Semi- Circular Ducts with Uniform Heat Flux, International Journal of Heat and Mass Transfer, 19 (1976), pp.123-124.
  7. Manglik, R. M. and Bergles, A. E., Laminar Flow Heat Transfer in a Semi-Circular Duct with Uniform Wall Temperature, International Journal of Heat and Mass Transfer, 31 (1988), pp.625-636.
  8. Zhang, H. Y. and Ebadian, M. A., Convective-Radiative Heat Transfer in the Thermal Entrance Region of the Semi-Circular Duct with Stream Wise Internal Fins, International Journal of Heat and Mass Transfer, 34 (1991), 12, pp. 3135-3142.
  9. Zhang, H. Y. and Ebadian, M. A., Heat Transfer in the Entrance Region of Semi-Circular Ducts with Internal Fins, Journal of Thermophysics and Heat Transfer, 6 (1992), pp. 296-301.
  10. Yang G, Ebadian M. A., Combined Radiation and Convection Heat Transfer in Simultaneously Developing Flow in Ducts With Semi-Circular and Right Triangular Cross Sections, Heat and Mass Transfer, 27 (1992), 3, pp. 141-148.
  11. Etemad, S. G., Laminar Heat Transfer to Viscous Nonnewtonian Fluids in Non-Circular Ducts, Ph. D. thesis, Mc-Gill University, Montreal, Canada, 1995.
  12. Etemad, S. G., Mujumdar, A. S. and Nassef, R., Viscous Nonnewtonian Forced Convection Heat Transfer in Semi-Circular and Equilateral Triangular Ducts: an Experimental Study, International Communications of Heat and Mass Transfer, 24 (1997), 5, pp. 609-620.
  13. Dong, Z. F. and Ebadian, M. A., Analysis of Combined Natural and Forced Convection in Vertical Semi-Circular Ducts with Radial Internal Fins, Numerical Heat Transfer Part A, 27 (1995), 3, 359-372.
  14. Busedra, A. A. and Soliman, H. M., Experimental Investigation of Laminar Mixed Convection in an Inclined Semi-Circular Duct under Buoyancy Assisted and Opposed Conditions, International Journal of Heat and Mass Transfer, 43 (2000), 7, pp. 1103-1111.
  15. Busedra, A. A. and Soliman, H. M., Analysis of Laminar Mixed Convection in Inclined Semi-Circular Ducts under Buoyancy Assisted and Opposed Conditions, Numerical Heat Transfer Part A, 36 (1999), pp. 527-544.
  16. Hakan, F. and Oztop, H. F., Effective Parameters on Second Law Analysis for Semi-Circular Ducts in Laminar Flow and Constant Wall Heat Flux, International Communications of Heat and Mass Transfer, 32 (2005), 1-2, pp. 266-274.
  17. Geyer, P. E., Fletcher, D. F. and Haynes, B. S., Laminar Flow and Heat Transfer in a Periodic Trapezoidal Channel with Semi-Circular Cross-Section, International Journal of Heat and Mass Transfer, 50 (2007), 17-18, pp. 3471-3480.
  18. Lei, Q. M. and Trupp, A. C., Experimental Study of Laminar Mixed Convection in the Entrance Region of a Horizontal Semi-Circular Duct, International Journal of Heat and Mass Transfer, 34 (1991), 9, pp. 2361-2372.
  19. Hasaidi, Y. M. F. El., Busedra, A. A. and Rustum, I. M., Laminar Mixed Convection in the Entrance Region of Horizontal Semicircular Ducts with the Flat Wall at the Top, ASME Journal of Heat Transfer, 129 (2007), 9, pp. 1203-1211.
  20. Çengel, Y. A., Heat Transfer a Practical Approach, McGraw-Hill, USA, 1998, pp. 372-380.
  21. Incropera, F. P. and DeWitt, D. P., Fundamentals of Heat and Mass Transfer, 5th ed., John Wiley and Sons, USA, 2002, pp. 917.
  22. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, USA, 1980, pp. 126-131.
  23. Gnielinski, V., New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow, International Chemical Engineering, 16 (1976), pp. 359-368.
  24. Dittus, P. W. and Boelter, L. M. K., Heat Transfer in Automobile Radiators of the Tubular Type, International Communications of Heat and Mass Transfer, 12 (1985), pp. 3-22.
  25. Petukhov, B. S., in Irvine T. F. and Hartnett J. P., Advances in Heat Transfer, Academic Press, New York, USA, 1970, Vol. 6.
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Three-dimensional numerical investigation of turbulent flow and heat transfer inside a horizontal semi-circular cross-sectioned duct

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