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    Bai, Chenyuan Li, Juan and Wu, Ziniu 2014. Generalized Kutta–Joukowski theorem for multi-vortex and multi-airfoil flow with vortex production — A general model. Chinese Journal of Aeronautics, Vol. 27, Issue. 5, p. 1037.

    Bai, Chenyuan and Wu, Ziniu 2014. Generalized Kutta–Joukowski theorem for multi-vortex and multi-airfoil flow (a lumped vortex model). Chinese Journal of Aeronautics, Vol. 27, Issue. 1, p. 34.

    Kirby, S.P. and Purvis, R. 2013. Interactive planar multi-blade flows with a global angle of attack. European Journal of Mechanics - B/Fluids, Vol. 41, p. 150.

    McDarby, John M. and Smith, Frank T. 2011. Turbulent interactions for rotating blades and wakes. Journal of Engineering Mathematics, Vol. 69, Issue. 2-3, p. 185.

    Smith, Frank T. and Ellis, Andrew S. 2010. ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID. Mathematika, Vol. 56, Issue. 01, p. 140.

    Purvis, R. Johnson, E.R. and Smith, F.T. 2006. Underbody and ground effects on rotating disc flow: a global scale inviscid study. European Journal of Mechanics - B/Fluids, Vol. 25, Issue. 6, p. 923.

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    Bhattacharyya, S. and Smith, F. T. 2002. Spreading of Nonuniform Jets in Wind. Journal of Fluids Engineering, Vol. 124, Issue. 3, p. 694.

    Riahi, D N 1999. Boundary wave-vortex interaction in channel flow with a wavy wall at high Reynolds numbers. Fluid Dynamics Research, Vol. 25, Issue. 3, p. 129.

  • Journal of Fluid Mechanics, Volume 324
  • October 1996, pp. 355-377

Planar flows past thin multi-blade configurations

  • F. T. Smith (a1) and S. N. Timoshin (a1)
  • DOI:
  • Published online: 01 April 2006

Two-dimensional steady laminar flows past multiple thin blades positioned in near or exact sequence are examined for large Reynolds numbers. Symmetric configurations require solution of the boundary-layer equations alone, in parabolic fashion, over the successive blades. Non-symmetric configurations in contrast yield a new global inner–outer interaction in which the boundary layers, the wakes and the potential flow outside have to be determined together, to satisfy pressure-continuity conditions along each successive gap or wake. A robust computational scheme is used to obtain numerical solutions in direct or design mode, followed by analysis. Among other extremes, many-blade analysis shows a double viscous structure downstream with two streamwise length scales operating there. Lift and drag are also considered. Another new global interaction is found further downstream. All the interactions involved seem peculiar to multi-blade flows.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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