Skip to main content
Log in

Numerical analysis of turbulent flow and heat transfer in a square sectioned U-bend duct by elliptic-blending second moment closure

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

A second moment turbulence closure using the elliptic-blending equation is introduced to analyze the turbulence and heat transfer in a square sectioned U-bend duct flow. The turbulent heat flux model based on the elliptic concept satisfies the near-wall balance between viscous diffusion, viscous dissipation and temperature-pressure gradient correlation, and also has the characteristics of approaching its respective conventional high Reynolds number model far away from the wall. Also, the traditional GGDH heat flux model is compared with the present elliptic concept-based heat flux model. The turbulent heat flux models are closely linked to the ellipticblending second moment closure which is used for the prediction of Reynolds stresses. The predicted results show their reasonable agreement with experimental data for a square sectioned U-bend duct flow field adopted in the present study.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Chang, S. M., Humphrey, J.A. C. and Modavi, A., 1983, “Turbulent Flow in a Strongly Curved U-Bend and Downstream Tangent of Square Cross-Sections,”Phys. Chem. Hydrodyn., Vol. 4, pp. 243–269.

    Google Scholar 

  • Choi, Y. D., Iacovides, H. and Launder, B. E., 1989, “Numerical Computation of Turbulent Flow in a Square-Sectioned 180 Deg. Bend,”ASME J. of Fluid Engng, Vol. III, pp. 59–68.

    Google Scholar 

  • Craft, T. J. and Launder, B. E., 1996, “A Reynolds Stress Closure Designed for Complex Geometries,”Int. J. Heat Fluid Flow, Vol. 17, pp. 245–254.

    Article  Google Scholar 

  • Daly, B. J. and Harlow, F. H., 1970, “Transport Equation in Turbulence,”Phys. Fluids, pp. 2634–2649.

  • Durbin, P. A., 1993, “A Reynolds Stress Models for Near-wall Turbulence,”J. Fluid Mech., Vol. 249, pp. 465–498.

    Article  Google Scholar 

  • Iacovides, H. and Launder, B. E., 1995, “Computational Fluid Dynamics Applied to Internal Gas-Turbine Blade Cooling: A Review,”Int. J. Heat Fluid Flow, Vol. 16, pp. 454–470.

    Article  Google Scholar 

  • Iacovides, H., Launder, B. E. and Li, H. Y., 1996, “Application of a Reflection-Free DSM to Turbulent Flow and Heat Transfer in a Square-Sectioned U-Bend,”Exper. Therm. Fluid Sci., Vol. 13, pp. 419–429.

    Article  Google Scholar 

  • Johnson, R. W., 1984, “Turbulent Convecting Flow in a Square Duct with a 180° Bend; Experimental and Numerical study,” PhD. Thesis, UMIST.

  • Johnson, R. W. and Launder, B. E., 1985, “Local Nusselt Number and Temperature Field in Turbulent Flow Through a Heated Square-Sectioned U-Bend,”Int. J. Heat Fluid Flow, Vol. 6, pp. 171–180.

    Article  MATH  Google Scholar 

  • Lai, Y. G. and So, R. M. C., 1990, “Near-Wall Modeling of Turbulent Heat Fluxes,”Int. J. Heat Mass Transfer, Vol. 33, pp. 1429–1440.

    Article  Google Scholar 

  • Launder, B. E. 1988, “On the Computation of Convective Heat Transfer in Complex Turbulent Flow,”J. Heat Transfer, Vol. 110, pp. 1112–1128.

    Article  Google Scholar 

  • Manceau, R. and Hanjalic, K. 2002, “Elliptic Blending Model: A New Near-Wall Reynolds-Stress Turbulence Closure,”Phys. Fluids, Vol. 14, pp. 744–754.

    Article  Google Scholar 

  • Melling, A. and Whitelaw, J. H., 1976, “Turbulence Flow in a Rectangular Duct,”J. Fluid Mech., Vol. 78, pp. 289–315.

    Article  Google Scholar 

  • Shin, J. K., An, J. S. and Choi, Y. D., 2005, “Prediction of Combined Forced and Natural Turbulent Convection in a Vertical Plane Channel with an Elliptic-Blending Second Moment Closure,”Trans. of the KSME (B), Vol. 29, pp. 1265–1276.

    Google Scholar 

  • Speziale, C. G., Sarkar, S. and Gatski, T. B., 1994, “Modelling the Pressure-Strain Correlation of Turbulence: An Invariant Dynamical System Approach,”J. Fluid Mech., Vol. 227, pp. 245–272.

    Article  Google Scholar 

  • Suga, K. and Abe, K., 2000, “Nonlinear Eddy Viscosity Modelling for Turbulence and Heat Transfer Near Wall and Shear-Free Boundaries,”Int. J. Heat Mass Transfer, Vol. 21, pp. 37–48.

    Google Scholar 

  • Suga, K., 2003, “Predicting Turbulence and Heat Transfer in 3-D Curved Ducts by Near-Wall Second Moment Closures,”Int. J. Heat Mass Transfer, Vol. 46, pp. 161–173.

    Article  MATH  Google Scholar 

  • Thielen, L., Hanjalic, K., Jonker, H. and Manceau, R., 2004, “Prediction of Flow and Heat Transfer in Multiple Impinging Jets with an Elliptic-Blending Second-Moment Closure,”Int. J. Heat Mass Transfer, Vol. 48, pp. 1583–1598.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Young-Don Choi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shin, JK., Choi, YD. & An, JS. Numerical analysis of turbulent flow and heat transfer in a square sectioned U-bend duct by elliptic-blending second moment closure. J Mech Sci Technol 21, 360–371 (2007). https://doi.org/10.1007/BF02916296

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02916296

Key Words

Navigation