Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-20T12:35:29.613Z Has data issue: false hasContentIssue false
  • English
  • Français

Direct numerical simulation of turbulent duct flow with inclined or V-shaped ribs mounted on one wall

Published online by Cambridge University Press:  15 December 2021

S.V. Mahmoodi-Jezeh Open the ORCID record for S.V. Mahmoodi-Jezeh [Opens in a new window]  and
Bing-Chen Wang Open the ORCID record for Bing-Chen Wang [Opens in a new window]
S.V. Mahmoodi-Jezeh
Affiliation:
Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada
Bing-Chen Wang*
Affiliation:
Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In this research, highly disturbed turbulent flow of distinct three-dimensional characteristics in a square duct with inclined or V-shaped ribs mounted on one wall is investigated using direct numerical simulation. The turbulence field is highly sensitive to not only the rib geometry but also the boundary layers developed over the side and top walls. In a cross-stream plane secondary flows appear as large longitudinal vortices in both inclined and V-shaped rib cases due to the confinement of four sidewalls of the square duct. However, owing to the difference in the pattern of cross-stream secondary flow motions, the flow physics is significantly different in these two ribbed duct cases. It is observed that the mean flow structures in the cross-stream directions are asymmetrical in the inclined rib case but symmetrical in the V-shaped rib case, causing substantial differences in the momentum transfer across the spanwise direction. The impacts of rib geometry on near-wall turbulence structures are investigated using vortex identifiers, joint probability density functions between the streamwise and vertical velocity fluctuations, statistical moments of different orders, spatial two-point autocorrelations and velocity spectra. It is found that near the leeward and windward rib faces, the mean inclination angle of turbulence structures in the V-shaped rib case is greater than that of the inclined rib case, which subsequently enhances momentum transport between the ribbed bottom wall and the smooth top wall.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 932 , 10 February 2022 , A48
Check for updates
Copyright
© The Author(s), 2021. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Adrian, R.J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301.CrossRefGoogle Scholar
Antonia, R.A., Djenidi, L. & Spalart, P.R. 1994 Anisotropy of the dissipation tensor in a turbulent boundary layer. Phys. Fluids 6, 2475–2479.CrossRefGoogle Scholar
Bonhoff, B., Parneix, S., Leusch, J., Johnson, B.V., Schabacker, J. & Bölcs, A. 1999 Experimental and numerical study of developed flow and heat transfer in coolant channels with 45 degree ribs. Intl J. Heat Fluid Flow 20, 311–319.CrossRefGoogle Scholar
Borello, D., Salvagni, A. & Hanjalić, K. 2015 Effects of rotation on flow in an asymmetric rib-roughened duct: LES study. Intl J. Heat Fluid Flow 55, 104–119.CrossRefGoogle Scholar
Brundrett, E. & Baines, W.D. 1964 The production and diffusion of vorticity in duct flow. J. Fluid Mech. 19, 375–394.CrossRefGoogle Scholar
Burattini, P., Leonardi, S., Orlandi, P. & Antonia, R.A. 2008 Comparison between experiments and direct numerical simulations in a channel flow with roughness on one wall. J. Fluid Mech. 600, 403–426.CrossRefGoogle Scholar
Casarsa, L. & Arts, T. 2005 Experimental investigation of the aerothermal performance of a high blockage rib-roughened cooling channel. Trans. ASME J. Turbomach. 127, 580–588.CrossRefGoogle Scholar
Chan, L., MacDonald, M., Chung, D., Hutchins, N. & Ooi, A. 2015 A systematic investigation of roughness height and wavelength in turbulent pipe flow in the transitionally rough regime. J. Fluid Mech. 771, 743–777.CrossRefGoogle Scholar
Christensen, K.T. & Adrian, R.J. 2001 Statistical evidence of hairpin vortex packets in wall turbulence. J. Fluid Mech. 431, 433–443.CrossRefGoogle Scholar
Coletti, F., Cresci, I. & Arts, T. 2013 Spatio-temporal analysis of the turbulent flow in a ribbed channel. Intl J. Heat Fluid Flow 44, 181–196.CrossRefGoogle Scholar
Coletti, F., Lo Jacono, D., Cresci, I. & Arts, T. 2014 Turbulent flow in rib-roughened channel under the effect of Coriolis and rotational buoyancy forces. Phys. Fluids 26, 045111.CrossRefGoogle Scholar
Coletti, F., Maurer, T., Arts, T. & Di Sante, A. 2012 Flow field investigation in rotating rib-roughened channel by means of particle image velocimetry. Exp. Fluids 52, 1043–1061.CrossRefGoogle Scholar
Cui, J., Patel, V.C. & Lin, C.L. 2003 Large-eddy simulation of turbulent flow in a channel with rib roughness. Intl J. Heat Fluid Flow 24, 372–388.CrossRefGoogle Scholar
Djenidi, L., Antonia, R.A., Amielh, M. & Anselmet, F. 2008 A turbulent boundary layer over a two-dimensional rough wall. Exp. Fluids 44, 37–47.CrossRefGoogle Scholar
Fang, X., Yang, Z., Wang, B.C., Tachie, M.F. & Bergstrom, D.J. 2015 Highly-disturbed turbulent flow in a square channel with V-shaped ribs on one wall. Intl J. Heat Fluid Flow 56, 182–197.CrossRefGoogle Scholar
Fang, X., Yang, Z., Wang, B.-C., Tachie, M.F. & Bergstrom, D.J. 2017 Large-eddy simulation of turbulent flow and structures in a square duct roughened with perpendicular and V-shaped ribs. Phys. Fluids 29, 065110.CrossRefGoogle Scholar
Gao, X. & Sundén, B. 2004 a Effects of inclination angle of ribs on the flow behavior in rectangular ducts. J. Fluids Engng 126, 692–699.CrossRefGoogle Scholar
Gao, X. & Sundén, B. 2004 b PIV measurement of the flow field in rectangular ducts with 60 parallel, crossed and V-shaped ribs. Exp. Therm. Fluid Sci. 28, 639–653.CrossRefGoogle Scholar
Gavrilakis, S. 1992 Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct. J. Fluid Mech. 244, 101–129.CrossRefGoogle Scholar
Han, J.C., Dutta, S. & Ekkad, S. 2012 Gas Turbine Heat Transfer and Cooling Technology. CRC Press.CrossRefGoogle Scholar
Hirota, M., Yokosawa, H. & Fujita, H. 1992 Turbulence kinetic energy in turbulent flows through square ducts with rib-roughened walls. Intl J. Heat Fluid Flow 13, 22–29.CrossRefGoogle Scholar
Ikeda, T. & Durbin, P.A. 2007 Direct simulations of a rough-wall channel flow. J. Fluid Mech. 571, 235–263.CrossRefGoogle Scholar
Ismail, U., Zaki, T.A. & Durbin, P.A. 2018 Simulations of rib-roughened rough-to-smooth turbulent channel flows. J. Fluid Mech. 843, 419–449.CrossRefGoogle Scholar
Labbé, O. 2013 Large-eddy-simulation of flow and heat transfer in a ribbed duct. Comput. Fluids 76, 23–32.CrossRefGoogle Scholar
Lee, D. & Choi, H. 2001 Magnetohydrodynamic turbulent flow in a channel at low magnetic Reynolds number. J. Fluid Mech. 439, 367–394.CrossRefGoogle Scholar
Leonardi, S. & Castro, I.P. 2010 Channel flow over large cube roughness: a direct numerical simulation study. J. Fluid Mech. 651, 519–539.CrossRefGoogle Scholar
Leonardi, S., Orlandi, P., Djenidi, L. & Antonia, R.A. 2004 Structure of turbulent channel flow with square bars on one wall. Intl J. Heat Fluid Flow 25, 384–392.CrossRefGoogle Scholar
Leonardi, S., Orlandi, P., Djenidi, L. & Antonia, R.A. 2015 Heat transfer in a turbulent channel flow with square bars or circular rods on one wall. J. Fluid Mech. 776, 512–530.CrossRefGoogle Scholar
Liu, Y.Z., Ke, F. & Sung, H.J. 2008 Unsteady separated and reattaching turbulent flow over a two-dimensional square rib. J. Fluids Struct. 24, 366–381.CrossRefGoogle Scholar
Lohász, M.M., Rambaud, P. & Benocci, C. 2006 Flow features in a fully developed ribbed duct flow as a result of MILES. Flow Turbul. Combust. 77, 59–76.CrossRefGoogle Scholar
Lumley, J.L. 1979 Computational modeling of turbulent flows. In Advances in Applied Mechanics, vol. 18, pp. 123–176. Elsevier.CrossRefGoogle Scholar
Lumley, J.L. & Newman, G.R. 1977 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161–178.CrossRefGoogle Scholar
Mahmoodi-Jezeh, S.V. & Wang, B.-C. 2020 Direct numerical simulation of turbulent flow through a ribbed square duct. J. Fluid Mech. 900, A18.CrossRefGoogle Scholar
Mahmoodi-Jezeh, S.V. & Wang, B.-C. 2021 Direct numerical simulation of turbulent heat transfer in a square duct with transverse ribs mounted on one wall. Intl J. Heat Fluid Flow 89, 108782.CrossRefGoogle Scholar
Miyake, Y., Tsujimoto, K. & Nakaji, M. 2001 Direct numerical simulation of rough-wall heat transfer in a turbulent channel flow. Intl J. Heat Fluid Flow 22, 237–244.CrossRefGoogle Scholar
Mompean, G., Gavrilakis, S., Machiels, L. & Deville, M.O. 1996 On predicting the turbulence-induced secondary flows using nonlinear $k$–$\varepsilon$ models. Phys. Fluids 8, 1856–1868.CrossRefGoogle Scholar
Moser, R.D. & Moin, P. 1987 The effects of curvature in wall-bounded turbulent flows. J. Fluid Mech. 175, 479–510.CrossRefGoogle Scholar
Nagano, Y., Hattori, H. & Houra, T. 2004 DNS of velocity and thermal fields in turbulent channel flow with transverse-rib roughness. Intl J. Heat Fluid Flow 25, 393–403.CrossRefGoogle Scholar
Noormohammadi, A. & Wang, B.-C. 2019 DNS study of passive plume interference emitting from two parallel line sources in a turbulent channel flow. Intl J. Heat Fluid Flow 77, 202–216.CrossRefGoogle Scholar
Oyewola, O., Djenidi, L. & Antonia, R.A. 2004 Influence of localised wall suction on the anisotropy of the Reynolds stress tensor in a turbulent boundary layer. Exp. Fluids 37, 187–193.CrossRefGoogle Scholar
Pirozzoli, S., Modesti, D., Orlandi, P. & Grasso, F. 2018 Turbulence and secondary motions in square duct flow. J. Fluid Mech. 840, 631–655.CrossRefGoogle Scholar
Pope, S.B. 2000 Turbulent Flows. Cambridge University.CrossRefGoogle Scholar
Rau, G., Cakan, M., Moeller, D. & Arts, T. 1998 The effect of periodic ribs on the local aerodynamic and heat transfer performance of a straight cooling channel. Trans. ASME J. Turbomach. 120, 368–375.CrossRefGoogle Scholar
Ruck, S. & Arbeiter, F. 2018 Detached eddy simulation of turbulent flow and heat transfer in cooling channels roughened by variously shaped ribs on one wall. Intl J. Heat Mass Transfer 118, 388–401.CrossRefGoogle Scholar
Ryu, D.N., Choi, D.H. & Patel, V.C. 2007 Analysis of turbulent flow in channels roughened by two-dimensional ribs and three-dimensional blocks. Part II: heat transfer. Intl J. Heat Fluid Flow 28, 1112–1124.CrossRefGoogle Scholar
Sewall, E.A., Tafti, D.K., Graham, A.B. & Thole, K.A. 2006 Experimental validation of large eddy simulations of flow and heat transfer in a stationary ribbed duct. Intl J. Heat Fluid Flow 27, 243–258.CrossRefGoogle Scholar
Townsend, A.A.R. 1980 The Structure of Turbulent Shear Flow. Cambridge University.Google Scholar
Volino, R.J., Schultz, M.P. & Flack, K.A. 2009 Turbulence structure in a boundary layer with two-dimensional roughness. J. Fluid Mech. 635, 75–101.CrossRefGoogle Scholar
Wang, L., Hejcik, J. & Sunden, B. 2007 PIV measurement of separated flow in a square channel with streamwise periodic ribs on one wall. J. Fluids Engng 129, 834–841.CrossRefGoogle Scholar
Wang, L., Salewski, M. & Sundén, B. 2010 Turbulent flow in a ribbed channel: flow structures in the vicinity of a rib. Exp. Therm. Fluid Sci. 34, 165–176.CrossRefGoogle Scholar
Yaglom, A.M. & Kader, B.A. 1974 Heat and mass transfer between a rough wall and turbulent fluid flow at high Reynolds and peclet numbers. J. Fluid Mech. 62, 601–623.CrossRefGoogle Scholar
Yokosawa, H., Fujita, H., Hirota, M. & Iwata, S. 1989 Measurement of turbulent flow in a square duct with roughened walls on two opposite sides. Intl J. Heat Fluid Flow 10, 125–130.CrossRefGoogle Scholar
Zhou, J., Adrian, R.J., Balachandar, S. & Kendall, T.M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353–396.CrossRefGoogle Scholar