Ventilation Air Quantity

Screen fully mixed steady dilution against supplied concentrations; shared contaminant constraints use maximum flow, not a sum, and do not certify mine safety.

Description

Steady well-mixed dilution balances contaminant generation against the permitted concentration increase above intake air.

Steady well-mixed dilution balances contaminant generation against the permitted concentration increase above intake air. Multiple contaminants may impose different flow requirements.

The tool returns contaminantRequiredFlowsM3PerSecond (contaminant required flows m3 per second); governingFreshAirM3PerSecond (governing fresh air m3 per second). Input measurements and model parameters are supplied by the caller; the tool computes the stated summary rather than acquiring those measurements.

When to use Ventilation Air Quantity

Use Ventilation Air Quantity when you already have contaminantGenerationMgPerSecond, intakeConcentrationsMgPerM3, comparisonConcentrationsMgPerM3, minimumFreshAirM3PerSecond and want contaminantRequiredFlowsM3PerSecond, governingFreshAirM3PerSecond. This is useful for checking a supplied calculation, documenting a measurement convention, or comparing observations prepared on the same basis.

How to use Ventilation Air Quantity and understand its results

  1. Enter contaminantGenerationMgPerSecond, intakeConcentrationsMgPerM3, comparisonConcentrationsMgPerM3, minimumFreshAirM3PerSecond using the field table below. Match the units, ordering and data boundaries described in the calculation.
  2. Run the tool after checking the stated bounds and matching paired observations or categories. A malformed request gives a tool error rather than a usable measurement.
  3. Read contaminantRequiredFlowsM3PerSecond, governingFreshAirM3PerSecond. Use the calculation and interpretation below to distinguish amounts, ratios, signs and decision flags where applicable.
  4. Review the supplied parameters and assumptions before using the result in a report or comparing it with another observation.
Input fieldMeaningValue type and boundsRequirement
contaminantGenerationMgPerSecondContaminant generation mg per secondlist of numberRequired
intakeConcentrationsMgPerM3Intake concentrations mg per m3list of numberRequired
comparisonConcentrationsMgPerM3Comparison concentrations mg per m3list of numberRequired
minimumFreshAirM3PerSecondMinimum fresh air m3 per secondnumberRequired

Use aligned nonempty lists, nonnegative generation and intake, and comparisons strictly above each intake concentration.

Q[i] = generationMg/s/(comparisonMg/m³−intakeMg/m³); governing = max(minimumFreshAir,all Q)

The symbols refer to the supplied quantities or generated values described above; unit conversions and comparison boundaries follow the stated implementation.

json
{
  "input": {
    "contaminantGenerationMgPerSecond": [
      100,
      60
    ],
    "intakeConcentrationsMgPerM3": [
      1,
      0
    ],
    "comparisonConcentrationsMgPerM3": [
      3,
      3
    ],
    "minimumFreshAirM3PerSecond": 10
  },
  "output": {
    "contaminantRequiredFlowsM3PerSecond": [
      50,
      20
    ],
    "governingFreshAirM3PerSecond": 50
  }
}

Limitations and assumptions

Comparison concentrations are caller-selected. Incomplete mixing, transient peaks, interacting contaminants and legal compliance are not evaluated.

Numerical inputs must be finite. The tool checks its declared input shape and calculation constraints; those checks do not verify the quality, calibration or representativeness of the supplied observations.

Alternative or Complementary methods

Ventilation Pressure Drop: Sum series Atkinson resistances in Pa/(m³/s)² and compute pressure drop/air power; parallel networks and fans are not solved. Heat Removal Ventilation: Balance sensible heat against air heat capacity and caller permitted rise; latent heat, humidity and worker heat-stress criteria are excluded.

Methodological background: Introduction to Mine Ventilating Principles and Practices.1

References

  1. Introduction to Mine Ventilating Principles and Practices — U.S. Bureau of Mines, Bulletin 589

Similar or alternative tools

  • Ventilation Pressure Drop

    Sum series Atkinson resistances in Pa/(m³/s)² and compute pressure drop/air power; parallel networks and fans are not solved.

  • Heat Removal Ventilation

    Balance sensible heat against air heat capacity and caller permitted rise; latent heat, humidity and worker heat-stress criteria are excluded.

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