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Calcimator

Sediment Transport Calculator

Calculate bedload transport rate, shear stress, and transport mode from stream velocity, grain size, water depth, and slope.

Inputs

Results

Bedload Transport Rate

0.01 kg/m/s

Sediment Moving?

Yes

Transport Mode

Bedload only

Bed Shear Stress49.05 Pa
Critical Shear Stress1.522 Pa
Shields Parameter1.5152
Froude Number0.479
Stream Power73.575 W/m²
Rouse Number3.62
How to Use This Calculator
  1. Enter Stream Velocity in m/s, Grain Size D in mm, and Water Depth in m.
  2. Enter Channel Slope as a dimensionless ratio (rise/run).
  3. Review whether Sediment is Moving based on comparison of bed shear stress to critical shear stress.
  4. Check Transport Mode (bedload, mixed load, or suspended load) and Bedload Transport Rate in kg/m/s.
  5. Use Froude Number and Rouse Number to characterize flow regime and sediment suspension.

How the result changes with Water Depth (m)

Water Depth (m)Bedload Transport RateSediment Moving?Transport Mode
100.17 kg/m/sYesMostly suspended
351.11 kg/m/sYesWash load (fully suspended)
652.81 kg/m/sYesWash load (fully suspended)
904.58 kg/m/sYesWash load (fully suspended)

What each input means

Stream Velocity (m/s)
Average stream flow velocity in meters per second.
Grain Size D (mm)
Median grain diameter in mm. Sand: 0.06–2, Gravel: 2–64, Cobble: 64–256.
Water Depth (m)
Average water depth in meters.
Channel Slope
Dimensionless channel bed slope (rise/run). Typical rivers: 0.0001–0.05.

How this is calculated

Formula

qb = 8(τ* − τ*c)^1.5 × √[(ρs/ρ − 1)gD³] (Meyer-Peter & Müller)

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Stream Velocity (m/s) = 1.5, Grain Size D (mm) = 2, Water Depth (m) = 1, Channel Slope = 0.005 = 4 input(s) provided
  2. Calculate Bedload Transport Rate
    Bedload Transport Rate = Number(bedload.toExponential(3))
    0.005121 = 0.005121
  3. Calculate Sediment Moving?
    Yes = Yes
  4. Calculate Transport Mode
    Transport Mode
    Bedload only = Bedload only
  5. Calculate Bed Shear Stress
    Bed Shear Stress
    49.05 = 49.05
  6. Calculate Critical Shear Stress
    Critical Shear Stress
    1.522 = 1.522

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