Agriculture Spray Droplet Size Calculator

Measured count-binned SauterD32=sum(n d³)/sum(n d²), not nozzle orifice/VMD nor drift/equipment recommendation. 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

Droplet-size summaries depend on the weighting convention.

Droplet-size summaries depend on the weighting convention.1

A Sauter mean compares volume and surface contributions rather than reporting a volume-median diameter. Use Agriculture Spray Droplet Size Calculator to evaluate the supplied inputs under the model explained below.

When to use Agriculture Spray Droplet Size Calculator

Use Agriculture Spray Droplet Size Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Agriculture Spray Droplet Size Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Observed droplet diameters micrometers, Observed droplet counts using the field table and validation rules below, then run the tool.
  3. Read Count weighted sauter mean micrometers; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
observedDropletDiametersMicrometersObserved droplet diameters micrometersarray of numberRequired; constraints below
observedDropletCountsObserved droplet countsarray of numberRequired; constraints below

Enter nonempty aligned positive droplet diameters in μm and nonnegative safe-integer counts. Require positive sum(count×diameter²). Return sum(count×diameter³)/sum(count×diameter²) in μm. Zero-count classes are accepted. This is D32, not Dv50, and no nozzle setting or drift class is inferred.

SauterMeanMicrometers=Σcount×diameter³/Σcount×diameter²

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
countWeightedSauterMeanMicrometersCount weighted sauter mean micrometersnumber
json
{
  "input": {
    "observedDropletDiametersMicrometers": [
      10,
      20,
      30
    ],
    "observedDropletCounts": [
      2,
      1,
      1
    ]
  },
  "output": {
    "countWeightedSauterMeanMicrometers": 24.666666666666668
  }
}

Limitations and assumptions

A Sauter mean compares volume and surface contributions rather than reporting a volume-median diameter. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Agriculture Pesticide Spray Volume Calculator for a related task: Observed spray use can be expressed per treated area and per elapsed time.

Use Agriculture Irrigation Uniformity Coefficient Calculator for a related task: An irrigation uniformity coefficient compares deviations with a weighted mean catch.

References

  1. Agriculture Spray Droplet Size Calculator — tool.io

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