BAI Yu-chuan, LUO Ji-shen. The Loss of Stability of Laminar Flow in Open Channel and the Mechanism of Sand Ripple Formation[J]. Applied Mathematics and Mechanics, 2002, 23(3): 254-268.
Citation:
BAI Yu-chuan, LUO Ji-shen. The Loss of Stability of Laminar Flow in Open Channel and the Mechanism of Sand Ripple Formation[J]. Applied Mathematics and Mechanics, 2002, 23(3): 254-268.
BAI Yu-chuan, LUO Ji-shen. The Loss of Stability of Laminar Flow in Open Channel and the Mechanism of Sand Ripple Formation[J]. Applied Mathematics and Mechanics, 2002, 23(3): 254-268.
Citation:
BAI Yu-chuan, LUO Ji-shen. The Loss of Stability of Laminar Flow in Open Channel and the Mechanism of Sand Ripple Formation[J]. Applied Mathematics and Mechanics, 2002, 23(3): 254-268.
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 sub-layer 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.
Yalin M S. Mechanics of Sediment Transprot[M]. Oxford, Great Britain:Pergamon Press,1972.
[3]
Klebanove P S, Tidstrom K D, Sargent L M. Three dimensional nature of boundary layer instability[J]. J Fluid Mech,1962,12(1):1-34.
[4]
Saric W S, Kozlov V V, Levchenko V Y. Forced and unforced subharmonic resonance in boundary layer transition[A]. In:AIAA 22nd Aerospace Science Meeting[C]. New York, 1984,9-12.