Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (3): 276-293.

• Articles • Previous Articles     Next Articles

THE LOSS OF STABILITY OF LAMINAR FLOW IN OPEN CHANNEL AND THE MECHANISM OF SAND RIPPLE FORMATION

BAI Yu-chuan1, LUO Ji-shen2   

  1. 1. Institute for Sediment on River and Coast Engineering, Tianjin University, Tianjin 300072, P. R. China;
    2. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Received:2000-12-27 Revised:2001-11-08 Online:2002-03-18 Published:2002-03-18
  • Supported by:
    the National Natural Science Foundation of China(59809006;59890200);the science Foundations of Tianjin Municipality(983702011)and the state key Laboratory of Estuarine& Coastal Research(98001)

Abstract: In the flow on a mobile bed in an open channel, sand ripple often appears after the sediment begins to move. Different scholars have different views on the formation of sand ripples. This paper holds that as the ripple in general is very small, its formation is due to the instability of the laminar flow or the evolution of the small-scale coherent structures in the sublayer adjacent to the wall of the open channel. When the shear stresses caused by the disturbing waves or the coherent structure near the bed surface boundary and the water flow itself are greater than the shields stresses, responses on the bed surface appear and the sand ripple forms. If the frequency of the shear stress caused by the disturbance is close to the natural frequency of the sand grains that produced resonance, such a phenomenon is called the "detection property" of the sediment. It is at this point that the maximum resonance appears and the sand ripple develops rapidly.

2010 MSC Number: 

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