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Cloud Droplet Effective Area Term Tool

Number-weighted spherical projected area and the third/second radius moment ratio.

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Description

Return weighted projected area and effective droplet radius.

Particle and droplet terms depend on size representation, weights, density, drag and logarithmic-bin conventions. A spherical growth or low-Reynolds approximation is a local model term rather than a measured size distribution, composition or health/exposure assessment.

Return weighted projected area and effective droplet radius.

When to use this tool

Use Cloud Droplet Effective Area Term when checking the stated particle, droplet, drag, growth or bin-basis convention.

How to use the tool and how it works

  1. Enter radii, numberWeights. Follow any array-alignment requirements below. 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 projectedArea, effectiveRadius. Use the output convention below.

Return weighted projected area and effective droplet radius. Require aligned nonnegative radii/weights with a positive weighted radius; area = pi*sum(n*r²), effectiveRadius = sum(n*r³)/sum(n*r²).1

Input fieldMeaning and unitsAccepted input
radiiRadiiRequired. Array of finite number; maximum items 256.
numberWeightsNumber WeightsRequired. Array of finite number; maximum items 256.
Output fieldInterpretationReturned shape
projectedAreaProjected AreaRequired. Finite number.
effectiveRadiusEffective RadiusRequired. Finite number.
json
{
  "input": {
    "radii": [
      1,
      2
    ],
    "numberWeights": [
      2,
      1
    ]
  },
  "output": {
    "projectedArea": 18.84955592153876,
    "effectiveRadius": 1.6666666666666667
  }
}

Limitations and assumptions

  • Weights must have a consistent count/concentration basis; no size distribution is fitted or actual cloud optical response inferred.
  • 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 particle measurements and an appropriate complete distribution/transport model with justified material, shape and flow assumptions for atmospheric inference.

References

  1. Calculation and input contract: atmospheric-physics/cloud-droplet-effective-area-term — tool.io

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