Abstract
In this paper DNS of turbulent rough channels has been used to show that \(\tilde{u}_{2} \) ′ | w (the normal Reynolds stress at the top of the roughness elements) is a useful quantity for detection of the transition from laminar to turbulent flow. In addition, \(\tilde{u}_{2} \) ′ | w is linked to the roughness function, allowing for the derivation of a simple expression for the velocity profile in the log region. From this equation a new Moody diagram has been created, which may be used for the prediction of rough flows at high Reynolds numbers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
C.F. Colebrook, C.M. White, Experiments with fluid friction in roughned pipes. Proc. Roy. Soc. A. 161, 367–381 (1937)
S. Leonardi, P. Orlandi, A numerical method for turbulent flows over complex geometries. ERCOFTAC bullett. 62, 41–46 (2004)
S. Leonardi, P. Orlandi, R.J. Smalley, L. Djenidi, R.A. Antonia, Direct numerical simulations of turbulent channel flow with transverse square bars on the wall. J. Fluid Mech. 491, 229–238 (2003)
L.F. Moody, Friction factors for pipe flow. Trans. ASME 66 671–678 (1944)
J. Nikuradse, 1933, Laws of flow in rough pipes. NACA TM 1292 (1950)
P. Orlandi, S. Leonardi, Direct numerical simulation of three-dimensional turbulent rough channels: parameterization and flow physics. J. Fluid Mech. 606, 399–415 (2008)
P. Orlandi, S. Leonardi, R. Tuzi, R.A. Antonia, DNS of turbulent channel flow with wall velocity disturbances. Phys. Fluids. 15, 3497–3600 (2003)
H. Schlichting, Boundary-Layer Theory (McGraw Hill, New York, 1968)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
Orlandi, P. (2010). Transition in Rough Channels. In: Nickels, T. (eds) IUTAM Symposium on The Physics of Wall-Bounded Turbulent Flows on Rough Walls. IUTAM Bookseries, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9631-9_15
Download citation
DOI: https://doi.org/10.1007/978-90-481-9631-9_15
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9630-2
Online ISBN: 978-90-481-9631-9
eBook Packages: EngineeringEngineering (R0)