Sewer Self-Cleansing Velocity Calculator

Invert independently calibrated bed shear criterion using Darcy τ=fρv²/8, not Manning flow or universal self-cleansing sediment threshold. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A wall-shear relation connects a target shear stress with a Darcy friction factor and flow velocity.

A wall-shear relation connects a target shear stress with a Darcy friction factor and flow velocity.1

The resulting velocity does not model actual sediment transport or verify self-cleansing performance. Use this tool to calculate sewer Self-Cleansing Velocity from the supplied measurements and assumptions.

When to use Sewer Self-Cleansing Velocity Calculator

Use this tool to calculate sewer Self-Cleansing Velocity from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.

How to use Sewer Self-Cleansing Velocity Calculator and understand its results

  1. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
  2. Enter callerIndependentlyEstablishedCriticalBedShearPa, observedLiquidDensityKgM3, callerDarcyFrictionFactor, using the field meanings and rules below, then run the tool.
  3. Read shearCriterionMeanVelocityMSecond. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
callerIndependentlyEstablishedCriticalBedShearPaCaller independently established critical bed shear pa; caller assertion or measurement requiring independent evidencenumberRequired
observedLiquidDensityKgM3Observed liquid density kg m3numberRequired
callerDarcyFrictionFactorCaller darcy friction factornumberRequired

Enter nonnegative target wall shear in Pa, positive fluid density in kg/m³ and positive Darcy friction factor. Return sqrt(8×shear/(density×factor)) in m/s. Zero shear gives zero velocity; no sediment size or actual sewer flow is modeled.

velocityM/s=sqrt(8×shearPa/(densityKg/m³×DarcyFactor))

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
shearCriterionMeanVelocityMSecondShear Criterion Mean Velocity M Second; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "callerIndependentlyEstablishedCriticalBedShearPa": 10,
    "observedLiquidDensityKgM3": 1000,
    "callerDarcyFrictionFactor": 0.02
  },
  "output": {
    "shearCriterionMeanVelocityMSecond": 2
  }
}

Limitations and assumptions

The resulting velocity does not model actual sediment transport or verify self-cleansing performance. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Hardy Cross Pipe Flow Calculator for this related task: Hardy Cross adjusts an assumed pipe-loop flow distribution using head-loss imbalance.

Use Seepage Flow Net Calculator when its separate inputs and assumptions fit the question: A flow-net seepage estimate uses the ratio of independently counted channels and potential drops.

References

  1. Sewer Self-Cleansing Velocity Calculator — tool.io

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