Gaussian Plume Concentration Calculator
Steady Gaussian point plume with ideal reflecting ground, independently supplied dispersion at receptor, no downwind sigma defaults or exposure clearance. 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 reflected Gaussian plume model represents crosswind and vertical spreading under declared conditions.
A reflected Gaussian plume model represents crosswind and vertical spreading under declared conditions.1
It requires supplied dispersion parameters rather than deriving meteorology or terrain effects. Use this tool to calculate gaussian Plume Concentration from the supplied measurements and assumptions.
When to use Gaussian Plume Concentration Calculator
Use this tool to calculate gaussian Plume Concentration 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 Gaussian Plume Concentration Calculator and understand its results
- Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
- Enter sourceKgSecond, windMSecond, sigmaYM, sigmaZM, crosswindOffsetM, receptorHeightM, sourceHeightM, using the field meanings and rules below, then run the tool.
- Read reflectedGaussianPlumeKgM3. Interpret the fields using their units, signs and evidence conventions below.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| sourceKgSecond | Source kg second | number | Required |
| windMSecond | Wind m second | number | Required |
| sigmaYM | Sigma y m | number | Required |
| sigmaZM | Sigma z m | number | Required |
| crosswindOffsetM | Crosswind offset m | number | Required |
| receptorHeightM | Receptor height m | number | Required |
| sourceHeightM | Source height m | number | Required |
Enter nonnegative source rate in kg/s and heights in m, finite signed crosswind offset in m, and positive wind speed in m/s and y/z dispersion widths in m. Multiply the crosswind Gaussian by the sum of source-height and reflected-height vertical Gaussians and source/(2πwindσyσz). Return kg/m³; dispersion parameters and atmospheric applicability are supplied, not inferred.
C=Q/(2πuσyσz)×exp(−y²/(2σy²))×[exp(−(z−H)²/(2σz²))+exp(−(z+H)²/(2σz²))] Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| reflectedGaussianPlumeKgM3 | Reflected Gaussian Plume Kg M3; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"sourceKgSecond": 1,
"windMSecond": 2,
"sigmaYM": 3,
"sigmaZM": 4,
"crosswindOffsetM": 0,
"receptorHeightM": 0,
"sourceHeightM": 0
},
"output": {
"reflectedGaussianPlumeKgM3": 0.013262911924324612
}
}Limitations and assumptions
It requires supplied dispersion parameters rather than deriving meteorology or terrain effects. 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 Gaussian Line Source Calculator for this related task: An infinite crosswind line-source model removes the finite-source crosswind dependence.
Use Noise Attenuation Distance Calculator when its separate inputs and assumptions fit the question: A point-source attenuation model combines geometric spreading with supplied additional losses.
References
-
Gaussian Plume Concentration Calculator — tool.io
Similar or alternative tools
- Gaussian Line Source Calculator
An infinite crosswind line-source model removes the finite-source crosswind dependence.
- Noise Attenuation Distance Calculator
A point-source attenuation model combines geometric spreading with supplied additional losses.