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| ===Settling Velocity of Particulates=== | | ===Settling Velocity of Particulates=== |
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− | <math>V = \frac{gRd^2}{18v + (0.75CgRd^3)^\frac{1}{2}}</math> | + | ====Stoke's Law for settling solids==== |
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| + | <math>V = \left( \frac {g\left( \frac {p_1}{p} -1 \right)\ d^2}{18v} \right)</math> |
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| {{plainlist|1=Where | | {{plainlist|1=Where |
| * ''V'' = settling velocity of particles (m/s) | | * ''V'' = settling velocity of particles (m/s) |
| * ''g'' = gravitational acceleration constant (9.81 m/s<sup>2</sup>) | | * ''g'' = gravitational acceleration constant (9.81 m/s<sup>2</sup>) |
− | * ''d'' = diameter of the solid (spherical) (µm) | + | * ''d'' = diameter of the solid (spherical) (m) |
− | * ''v'' = kinematic viscosity of water (1 mm<sup>2</sup>/s) | + | * ''ρ<sub>1</sub>'' = mass density of solid (kg/m<sup>3</sup>) |
− | * ''R'' = Specific gravity for solid in question (i.e. 1.58kg/cm<sup>3</sup> for sand) | + | * ''ρ'': mass density of water (1000 kg/m<sup>3</sup> |
− | * ''C'' = Typical constant for spherical solids (0.4) and (1.0) for sand grains}} | + | * ''v'': kinematic viscosity of water at (1 mm<sup>2</sup>/s)}} |
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| + | ====Ferguson & Church (2004)<ref>Ferguson, R.I. and Church, M. 2004. A simple universal equation for grain settling velocity. Journal of sedimentary Research, 74(6), pp.933-937. for settling solids. http://geoweb.uwyo.edu/geol5330/FergusonChurch_GrainSettling_JSR04.pdf</ref>==== |
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− | <math>V = \left( \frac {g\left( \frac {p_1}{p} -1 \right)\ d^2}{18v} \right)</math> | + | <math>V = \frac{gRd^2}{18v + (0.75CgRd^3)^\frac{1}{2}}</math> |
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| {{plainlist|1=Where | | {{plainlist|1=Where |
| * ''V'' = settling velocity of particles (m/s) | | * ''V'' = settling velocity of particles (m/s) |
| * ''g'' = gravitational acceleration constant (9.81 m/s<sup>2</sup>) | | * ''g'' = gravitational acceleration constant (9.81 m/s<sup>2</sup>) |
− | * ''d'' = diameter of the solid (spherical) (m) | + | * ''d'' = diameter of the solid (spherical) (µm) |
− | * ''ρ<sub>1</sub>'' = mass density of solid (kg/m<sup>3</sup>) | + | * ''v'' = kinematic viscosity of water (1 mm<sup>2</sup>/s) |
− | * ''ρ'': mass density of water (1000 kg/m<sup>3</sup> | + | * ''R'' = Specific gravity for solid in question (i.e. 1.58kg/cm<sup>3</sup> for sand) |
− | * ''v'': kinematic viscosity of water at (1 mm<sup>2</sup>/s)}} | + | * ''C'' = Typical constant for spherical solids (0.4) and (1.0) for sand grains}} |
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| ===Excess flow control=== | | ===Excess flow control=== |