Abstract
The dynamic balance of sediment elevating and settling in the turbulence
field of a river channel is an outcome of two aspects: one is the
cycling process of the bursting and weeping of a turbulence that makes
the sediment suspend from the channel bed surface in the turbulence
field; the other is the gravity of the Earth that makes the sediment
fall down. In order to quantitatively express the turbulent flow
functions such as the bursting and sweeping, momentum transfer and
energy consumption onset of turbulence, and the ability to suspend
sediment in the turbulence field, the nominal eddy named “Ω” eddy, as
a representative eddy in the turbulence field, is defined and endows it
with the functions, whose spatial dimension moving along the water depth
in the turbulence field is 3/2 and nominal dimension and quantity are
derived. Then, the momentum principle of water and sediment movement in
turbulent field is established. For the dynamic balance state of
sediment suspending in the turbulent flow field, an energy relationship
for the sediment suspending is derived, which is proved that 25% of the
vertical (gravity direction) component of the momentum in turbulent
field is transferred to sediment particles for jumping and suspending.
Thus, the formula of sediment carrying capacity of the channel water
flow is derived which does not need to be calibrated by observed data
and can be directly used for the calculation of sediment transportation.
The study has both theoretical significance and engineering value.