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Sludge Dewatering Polymer Dry Mass Basis Tool

Calculate sludge dewatering polymer dry mass basis from explicit caller-supplied inputs.

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Description

Return dryMass = sludgeMass*solidsFraction, activePolymer = dryMass*dosePerDryMass and solutionMass = activePolymer/solutionActiveFraction.

Chemical stock and polymer calculations distinguish active substance from the total mass or volume of its carrier. Purity and solids fractions must use a stated mass basis, and numerical dose scaling does not choose an appropriate treatment dose.

Return dryMass = sludgeMass*solidsFraction, activePolymer = dryMass*dosePerDryMass and solutionMass = activePolymer/solutionActiveFraction.

When to use this tool

Use Sludge Dewatering Polymer Dry Mass Basis when converting a caller-supplied active dose into stock or solution quantities.

How to use the tool and how it works

  1. Enter sludgeMass, solidsFraction, dosePerDryMass, solutionActiveFraction. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read dryMass, activePolymer, solutionMass. Use the output convention below.

Require nonnegative sludgeMass and dosePerDryMass, solidsFraction in [0,1] and solutionActiveFraction in (0,1]. Return dryMass = sludgeMass*solidsFraction, activePolymer = dryMass*dosePerDryMass and solutionMass = activePolymer/solutionActiveFraction.1

Input fieldMeaning and unitsAccepted input
sludgeMassSludge MassRequired. Finite number; minimum 0.
solidsFractionSolids FractionRequired. Finite number; minimum 0; maximum 1.
dosePerDryMassActive-polymer mass per dry-solids mass.Required. Finite number; minimum 0.
solutionActiveFractionActive polymer mass divided by total solution mass in (0,1].Required. Finite number; maximum 1; strictly above 0.
Output fieldInterpretationReturned shape
dryMassDry MassRequired. Finite number.
activePolymerActive PolymerRequired. Finite number.
solutionMassSolution MassRequired. Finite number.
json
{
  "input": {
    "sludgeMass": 1000,
    "solidsFraction": 0.04,
    "dosePerDryMass": 0.005,
    "solutionActiveFraction": 0.01
  },
  "output": {
    "dryMass": 40,
    "activePolymer": 0.2,
    "solutionMass": 20
  }
}

Limitations and assumptions

  • Use compatible dry-solids, active-polymer and solution mass units. Both fractions are mass fractions rather than percentages. The supplied dose is not optimized or recommended, and polymer compatibility or dewatering performance is not evaluated.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use product-specific properties, compatibility information and qualified treatment design to select and validate a practical dose.

References

  1. Calculation and input contract: environmental-engineering/sludge-dewatering-polymer-dry-mass-basis — tool.io

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