Skip to content

Main content

Slurry Solid Volume Mass Crosswalk Tool

Additive solid/liquid phase volumes with explicit phase densities.

Loading tool…

Description

Convert slurry solid mass fraction to volume fraction and mixture density.

A process stream can be described on mass, mole, phase or solvent bases, which are not interchangeable. Lever rules, partition factors and operating-line terms assume compatible composition definitions and an appropriate physical model; a local balance does not determine equilibrium properties or a complete separation design.

Convert slurry solid mass fraction to volume fraction and mixture density.

When to use this tool

Use Slurry Solid Volume Mass Crosswalk when checking the stated stream composition, phase or separation-model term.

How to use the tool and how it works

  1. Enter solidMassFraction, solidDensity, liquidDensity. 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 solidVolumeFraction, mixtureDensity. Use the output convention below.

Convert slurry solid mass fraction to volume fraction and mixture density. Require fraction in [0,1] and both densities positive; specific volume sum = w/rhoSolid+(1-w)/rhoLiquid, solidVolumeFraction = (w/rhoSolid)/sum, mixtureDensity = 1/sum.1

Input fieldMeaning and unitsAccepted input
solidMassFractionSolid Mass FractionRequired. Finite number; minimum 0; maximum 1.
solidDensitySolid DensityRequired. Finite number; strictly above 0.
liquidDensityLiquid DensityRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
solidVolumeFractionSolid Volume FractionRequired. Finite number.
mixtureDensityMixture DensityRequired. Finite number.
json
{
  "input": {
    "solidMassFraction": 0.5,
    "solidDensity": 2,
    "liquidDensity": 1
  },
  "output": {
    "solidVolumeFraction": 0.3333333333333333,
    "mixtureDensity": 1.3333333333333333
  }
}

Limitations and assumptions

  • This assumes additive component volumes and compatible densities, without shrinkage, voids or measured slurry properties.
  • 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 verified equilibrium and material-property data on consistent bases and solve the complete process model for actual separation or equipment decisions.

References

  1. Calculation and input contract: chemical-engineering/slurry-solid-volume-mass-crosswalk — tool.io

Similar or alternative tools