Grain Incipient Motion Considering Randomness of Grain Location
Publication: Instrumentation, Testing, and Modeling of Soil and Rock Behavior
Abstract
Incipient motion of solid grain in solid-liquid two-phase flow is often concerned in Geotechnical Engineering, such as soil piping, contact scouring, and flowing soil. The random deposit location, grain size, seepage forces, fluid velocity, and the structure of grains on the surface of passage causes the randomness of the incipient motion of solid grains. A random variable of dimensionless exposure was introduced to denote the location randomness. The probability of the variable distribution was counted as uniform. In consideration of buoyant weight, hydrodynamic pressure, hydrostatic pressure, friction shearing force, uplift force, cohesive force of grains, and the relationship among force arm, force balance and exposure, a calculation model for critical velocity of solid grain was established by means of moment equilibrium analysis. Integrating the critical velocity equation and submergence probability distribution equation, a quantitative relationship between the critical velocity and the incipient motion velocity of grains was built, which offers a practical formula for calculation of the critical velocity under certain incipient motion criterion.
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© 2011 American Society of Civil Engineers.
History
Published online: Apr 26, 2012
ASCE Technical Topics:
- Continuum mechanics
- Distribution functions
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Flow (fluid dynamics)
- Fluid dynamics
- Fluid mechanics
- Fluid velocity
- Geotechnical engineering
- Grain (material)
- Hydrologic engineering
- Material mechanics
- Material properties
- Materials engineering
- Mathematical functions
- Mathematics
- Motion (dynamics)
- Probability
- Probability distribution
- Solid mechanics
- Solids flow
- Velocity distribution
- Water and water resources
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