Abstract
The numerical study of turbulent flow in pipes is important for fundamental research and allows to solve engineering problems, too. By the use of modern supercomputers the flow through complex pipe geometries can be predicted by the Direct Numerical Simulation method, where the Navier Stokes equations are solved directly and no modelling of turbulence is required. The flow in straight, toroidal and helically coiled pipes has been investigated for the same Reynolds number Re τ = u τ R/v = 230. The curvature k ranges from 0 to 0.1 and the torsion τ ranges from 0 to 0.165. The influence of curvature and torsion on turbulent pipe flow is shown by surface profiles of the axial velocity, the pressure and the intensity of the velocity components perpendicular to the axial velocity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ADLER, M. - Strömung in gekriimmten Rohren, Zeitschrift fiir angewandte Mathematik und Mechanik, 14: 257–275 (1934).
BERGER, S.A., TALBOT, L. and YAO, L.-S. - Flow in curved pipes, Annual Review of Fluid Mechanics, 15, 461–512 (1983).
BOERSMA, B.J. and NIEUWSTADT, F.T.M. - Large Eddy simulation of turbulent flow in a curved pipe, In: Tenth symposium on turbulent shear flows, The Pennsylvania State University, 1, Poster Session 1, PI-19 - P1–24 (1995).
BOERSMA, B.J. and NIEUWSTADT, F.T.M. - Large-Eddy Simulation of Turbulent Flow in a Curved Pipe, Transaction of the ASME, Journal of Fluids Engineering, vol. 118, pp. 248–254 (1996).
BOERSMA, B.J. and NIEUWSTADT, F.T.M. - Non-Unique Solutions in Turbulent Curved Pipe Flow, In: J.-P. Chollet et al. (eds.), Direct and Large-Eddy Simulation II, Kluwer Academic Publishers, pp. 257–266, (1997).
BOERSMA, B.J. - Electromagnetic effects in cylindrical pipe flow, phd-thesis, Delft University Press, (1997).
DEAN, W. R. - Note on the Motion of Fluid in a Curved Pipe, Philosophical Magazine, Series 7, 4 (20) 208–223 (1927).
DEAN, W. R. - The Stream-line Motion of Fluid in a Curved Pipe, Philosophical Magazine, Series 7, 5 (30) 673–695 (1928).
EGGELS, J.G.M. - Direct and Large Eddy Simulation of Turbulent flow in a Cylindrical pipe geometry, PhD Thesis Delft University of Technology, Delft, The Netherlands (1994).
EGGELS, J.G.M., UNGER, F., WEISS, M.H., WESTERWEEL, J., ADRIAN, R.J., FRIEDRICH, R. and NIEUWSTADT, F.T.M. - Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175–209 (1994).
EUSTICE, J. - Flow of Water in Curved Pipes, Proc. R. Soc. London Ser. A, 84: 107–118 (1910).
EUSTICE, J. - Experiments on Stream-line Motion in Curved Pipes, Proc. R. Soc. London Ser. A, 85: 119–131 (1911).
GERMANO, M. - On the effect of torsion on a helical pipe flow., J. Fluid Mech., vol. 125, pp. 1–8 (1982).
GERMANO, M. - The Dean equations extended to a helical pipe flow., J. Fluid Mech., vol. 203, pp. 289–305 (1989).
HÜTTL, T.J. and FRIEDRICH, R. - Numerische Simulation laminarer und turbulenter Strömungen in gekrümmten und tordierten Rohren - In: Overview of Research Projects on the Cray Y-MP at the Leibniz-Rechenzentrum München, LRZ-Bericht Nr. 9601, pp. 195–200.
HÜTTL, T.J. - Simulationsprogramm HELIX: Ein Finite-Volumen Verfahren zur Lösung der inkompressiblen 3D-Navier-Stokes Gleichungen für Rohrgeometrien mit Krümmung und Torsion, Lehrstuhl für Fluidmechanik, TU München, Bericht TUM-FLM-96/29 (1996).
HÜTTL, T.J. and FRIEDRICH, R. - Fully Developed Laminar Flow in Curved or Helically Coiled Pipes. -In: Jahrbuch 1997 der Deutschen Gesellschaft für Luft-und Raumfahrt - Lilientahl - Oberth e.V. (DGLR), Tagungsband “Deutscher Luft-u. Raumfahrtkongress 1997, DGLR-Jahrestagung, 14. - 17. Okt. in München”, Band 2, DGLR-JT97–181, pp. 1203–1210 (1997).
HUTTL, T.J., WAGNER, C. and FRIEDRICH, R. - Navier Stokes Solutions of Laminar Flows Based on Orthogonal Helical Coordinates -In: Numerical methods in laminar and turbulent flow, C. Taylor, J. Cross (eds.), Pineridge Press, Swansea UK, Vol. 10, pp. 191–202 (1997).
ITO, H. - Flow in Curved Pipes, JSME International Journal, 30 (262) 543–552 (1987).
LIU, S. and MASLIYAH, J.H. - Axially invariant laminar flow in helical pipes with a finite pitch, J. Fluid Mech., 251: 315–353 (1993).
UNGER, F. - Numerische Simulation turbulenter Rohrströmungen, phdthesis, Technische Univerität München (1994).
WAGNER, C. - Direkte numerische Simulation turbulenter Strömungen in einer Rohrerweiterung, PhD Thesis, Technische Univerität München (1995).
WANG, C.Y. - On the low-Reynolds-number flow in a helical pipe, J. Fluid Mech., vol. 108, pp. 185–194 (1981).
WILLIAMS, G. S., HUBBELL, C. W. and FENKELL, G. H. - Experiments at Detroit, Mich., on the effect of curvature upon the flow of water in pipes, Trans. ASCE, 47:1–196 (1902).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hüttl, T.J., Friedrich, R. (1999). High Performance Computing of Turbulent Flow in Complex Pipe Geometries. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58600-2_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-58600-2_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63661-5
Online ISBN: 978-3-642-58600-2
eBook Packages: Springer Book Archive