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Turbulent flow and heat transfer in eccentric annulus

Published online by Cambridge University Press:  18 September 2009

NIKOLAY NIKITIN*
Affiliation:
Institute of Mechanics, Moscow State University, 1 Michurinsky Prospect, 119899 Moscow, Russia
HENGLIANG WANG
Affiliation:
Department of Aeronautics, Imperial College London, Prince Consort Road, London SW7 2AZ, UK
SERGEI CHERNYSHENKO
Affiliation:
Department of Aeronautics, Imperial College London, Prince Consort Road, London SW7 2AZ, UK
*
Email address for correspondence: nvnikitin@mail.ru

Abstract

A detailed statistical analysis of turbulent flow and heat transfer in eccentric annular duct was performed via direct numerical simulations (DNS) with particular emphasis on the needs of turbulence closure models. A large number of flow characteristics such as components of the Reynolds stress tensor, temperature–velocity correlations and some others were obtained for the first time for such kind of a flow. The results of the paper will serve as a benchmark test case for turbulence modelling, specifically for models intended to be used for flows with partly turbulent regimes.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Bradshaw, P. 1987 Turbulent secondary flows. Ann. Rev. Fluid Mech. 19, 5374.CrossRefGoogle Scholar
Brodkey, R. S., Wallace, J. M. & Eckelmann, H. 1974 Some properties of truncated turbulence signals in bounded shear flows. J. Fluid Mech. 63, 209224.CrossRefGoogle Scholar
Deissler, R. G. & Taylor, M. F. 1955 Analysis of fully developed turbulent heat transfer and flow in an annulus with various eccentricities. NACA TN, No. 3451.Google Scholar
Demuren, A. O. & Rodi, W. 1984 Calculation of turbulence-driven secondary motion in non-circular ducts. J. Fluid Mech. 140, 189222.CrossRefGoogle Scholar
Dodge, N. A. 1963 Friction losses in annular flow. Paper No. 63-WA-11, The American Society of Mechanical Engineers.Google Scholar
Eggels, J. G. M., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Friedrich, R. & Nieuwstadt, F. T. M. 1994 Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175209.CrossRefGoogle Scholar
Gavrilakis, S. 1992 Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct. J. Fluid Mech. 244, 101129.CrossRefGoogle Scholar
Gilbert, N. & Kleiser, L. 1991 Turbulence model testing with the aid of direct numerical simulation results. In Proceedings of 8th Symposium on Turbulent Shear Flows, Munich, September 9–11, 1991, Paper 26-1.Google Scholar
Huser, A. & Biringen, S. 1993 Direct numerical simulation of turbulent flow in a square duct. J. Fluid Mech. 257, 6595.CrossRefGoogle Scholar
Jonsson, V. K. & Sparrow, E. M. 1966 Experiments on turbulent-flow phenomena in eccentric annular ducts. J. Fluid Mech. 25, 6586.CrossRefGoogle Scholar
Kacker, S. C. 1973 Some aspects of fully developed turbulent flow in non-circular ducts. J. Fluid Mech. 57, 583602.CrossRefGoogle Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133166.CrossRefGoogle Scholar
Moin, P. & Mahesh, K. 1998 Direct numerical simulation: a tool in turbulence research. Ann. Rev. Fluid Mech. 30, 539578.CrossRefGoogle Scholar
Nikitin, N. 1994 Direct numerical modelling of three-dimensional turbulent flows in pipes of circular cross section. Fluid Dyn. 29, 749757.CrossRefGoogle Scholar
Nikitin, N. 1996 Statistical characteristics of wall turbulence. Fluid Dyn. 31, 361370.CrossRefGoogle Scholar
Nikitin, N. 1997 Numerical simulation of turbulent flows in a pipe of square cross-section. Phys.-Dok. 42, 158162.Google Scholar
Nikitin, N. 2006 a Direct simulation of turbulent flow in eccentric pipes. Comp. Maths Math. Phys. 46, 489504.CrossRefGoogle Scholar
Nikitin, N. 2006 b Finite-difference method for incompressible Navier–Stokes equations in arbitrary orthogonal curvilinear coordinates J. Comput. Phys. 217, 759781.CrossRefGoogle Scholar
Nikitin, N. & Yakhot, A. 2005 Direct numerical simulation of turbulent flow in elliptical ducts. J. Fluid Mech. 532, 141164.CrossRefGoogle Scholar
Ninokata, H., Okumura, T., Merzari, E. & Kano, T. 2006 Direct numerical simulation of turbulent flows in an eccentric annulus channel. Annual Report of the Earth Simulator Center, Earth Simulator Center pp. 293297.Google Scholar
Nouri, J. M., Umur, H. & Whitelaw, J. H. 1993 Flow of Newtonian and non-Newtonian fluids in concentric and eccentric annuli. J. Fluid Mech. 253, 617641.CrossRefGoogle Scholar
Ogino, F., Sakano, T. & Mizushina, T. 1987 Momentum and heat transfers from fully developed turbulent flow in an eccentric annulus to inner and outer tube walls. Heat Mass Transfer 21, 8793.Google Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Re θ=1410. J. Fluid Mech. 187, 6198.CrossRefGoogle Scholar
Swarztrauber, P. N. 1974 A direct method for the discrete solution of separable elliptic equations. SIAM J. Numer. Anal. 11, 11361150.CrossRefGoogle Scholar
Tsukahara, T., Seki, Y., Kawamura, H. & Tochio, D. 2005 DNS of turbulent channel flow at very low Reynolds numbers. In Proceedings of the Fourth International Symposium on Turbulence and Shear Flow Phenomena, Williamsburg, VA, June 27–29, Taylor & Frances LTD, pp. 935940.CrossRefGoogle Scholar
Usui, H. & Tsuruta, K. 1980 Analysis of fully developed turbulent flow in an eccentric annulus. J. Chem. Engng Jpn. 3, 445450.CrossRefGoogle Scholar
Voronova, T. & Nikitin, N. 2007 Results of direct numerical simulation of turbulent flow in a pipe of elliptical cross-section. Fluid Dyn. 42, 201211.CrossRefGoogle Scholar
Willmarth, W. W. & Lu, S. S. 1972 Structure of the Reynolds stress near the wall. J. Fluid Mech. 55, 6592.CrossRefGoogle Scholar
Wilson, J. T. 1978 Fully developed laminar incompressible flow in an eccentric annulus. AIChE 24 (4), 733735.CrossRefGoogle Scholar
Wolffe, R. A. 1962 Axial turbulent flow in a circular pipe containing a fixed eccentric core. M.S. Thesis, Lehigh University, Bethlehem, PA.Google Scholar