Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 146
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Fang, Xingjun Yang, Zixuan Wang, Bing-Chen and Bergstrom, Donald J. 2016. Direct numerical simulation of turbulent flow in a spanwise rotating square duct at high rotation numbers. International Journal of Heat and Fluid Flow,

    Gerolymos, G. A. and Vallet, I. 2016. Reynolds-Stress Model Prediction of 3-D Duct Flows. Flow, Turbulence and Combustion, Vol. 96, Issue. 1, p. 45.

    Liang, Jianhan Liu, Zhiqi and Pan, Yu 2016. Coupled Heat Transfer of Supercritical n-Decane in a Curved Cooling Channel. Journal of Thermophysics and Heat Transfer, Vol. 30, Issue. 3, p. 635.

    Morajkar, Rohan R. and Gamba, Mirko 2016. 54th AIAA Aerospace Sciences Meeting.

    Morajkar, Rohan R. and Gamba, Mirko 2016. 54th AIAA Aerospace Sciences Meeting.

    Wu, Jin-Long Wang, Jian-Xun and Xiao, Heng 2016. A Bayesian Calibration–Prediction Method for Reducing Model-Form Uncertainties with Application in RANS Simulations. Flow, Turbulence and Combustion,

    Liu, Zhiqi Liang, Jianhan and Pan, Yu 2015. 20th AIAA International Space Planes and Hypersonic Systems and Technologies Conference.

    Morajkar, Rohan R. Driscoll, James F. and Gamba, Mirko 2015. 53rd AIAA Aerospace Sciences Meeting.

    Rochlitz, Henrik Scholz, Peter and Fuchs, Thomas 2015. The flow field in a high aspect ratio cooling duct with and without one heated wall. Experiments in Fluids, Vol. 56, Issue. 12,

    Roussel, Corentin Alizard, Frederic and Grasso, Francesco 2015. 22nd AIAA Computational Fluid Dynamics Conference.

    Vane, Zachary P. and Lele, Sanjiva K. 2015. 53rd AIAA Aerospace Sciences Meeting.

    Yao, Jun Zhao, Yanlin and Fairweather, Michael 2015. Numerical simulation of turbulent flow through a straight square duct. Applied Thermal Engineering, Vol. 91, p. 800.

    Chauvet, H. Devauchelle, O. Metivier, F. Lajeunesse, E. and Limare, A. 2014. Recirculation cells in a wide channel. Physics of Fluids, Vol. 26, Issue. 1, p. 016604.

    Kim, Myeongkyun and You, Donghyun 2014. Reynolds number effect on turbulent secondary flow in a duct. Journal of Mechanical Science and Technology, Vol. 28, Issue. 4, p. 1311.

    Sun, Haomin Kunugi, Tomoaki Shen, Xiuzhong Wu, Dazhuan and Nakamura, Hideo 2014. Upward air–water bubbly flow characteristics in a vertical square duct. Journal of Nuclear Science and Technology, Vol. 51, Issue. 3, p. 267.

    Vane, Zachary P. Bermejo-Moreno, Ivan and Lele, Sanjiva K. 2014. 44th AIAA Fluid Dynamics Conference.

    Yao, J. Fairweather, M. and Zhao, Y. L. 2014. Numerical Simulation of Particle Deposition in Turbulent Duct Flows. Industrial & Engineering Chemistry Research, Vol. 53, Issue. 8, p. 3329.

    Al-Khatib, Issam A. Abu-Hassan, Hassan M. and Abaza, Khaled A. 2013. Development of empirical regression-based models for predicting mean velocities in asymmetric compound channels. Flow Measurement and Instrumentation, Vol. 33, p. 77.

    Choi, Hang Seok and Park, Tae Seon 2013. The influence of streamwise vortices on turbulent heat transfer in rectangular ducts with various aspect ratios. International Journal of Heat and Fluid Flow, Vol. 40, p. 1.

    Jafari, S. Rahnama, M. and Jahanshahi Javaran, E. 2013. Simulation of turbulent duct flow by employing shear-improved Smagorinsky model accompanied by forced generalized lattice Boltzmann method. International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24, Issue. 1, p. 86.


The production and diffusion of vorticity in duct flow

  • E. Brundrett (a1) and W. D. Baines (a1)
  • DOI:
  • Published online: 01 March 2006

Secondary flows in non-circular ducts are accompanied by a longitudinal component of vorticity. The equation of motion defining this component in a turbulent flow is composed of three terms giving the rates of production, diffusion and convection. Since the expression for production is the second derivative of Reynolds strees components, longitudinal vorticity cannot exist in laminar flow. For turbulent flow in a square duct the Reynolds stress tensor is examined in detail. Symmetry requirements alone provide relationships showing that the production is zero along all lines of symmetry. General characteristics of flow in circular pipes are sufficient to indicate where the production must be greatest. Experimental measurements verify this result and define the point density of production, diffusion and convection of vorticity. Data also indicate that the basic pattern of secondary flow is independent of Reynolds number, but that with increasing values of Reynolds number the flows penetrate the corners and approach the walls. A similar experimental investigation of a rectangular duct shows that the corner bisectors separate independent secondary flow circulation zones. Production of vorticity is again associated with the region near the bisector. However, there is some evidence that the secondary flow pattern is not so complex as inferred from the distortion of the main longitudinal flow.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *