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Activated Carbon Empty BED Contact Time Tool

Distinguish empty-bed contact time V/Q from nominal interstitial void-volume residence time.

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Description

Return emptyBedMinutes = 60*bedVolume/flowPerHour and voidResidenceMinutes = emptyBedMinutes*voidFraction.

Nominal hydraulic ratios connect flow to area, length, volume or travel time. These local terms depend on active geometry and steady conditions; they do not describe a full distribution of velocities, residence times or treatment performance.

Return emptyBedMinutes = 60*bedVolume/flowPerHour and voidResidenceMinutes = emptyBedMinutes*voidFraction.

When to use this tool

Use Activated Carbon Empty BED Contact Time when checking one supplied hydraulic loading, clearance, volume or travel-time term.

How to use the tool and how it works

  1. Enter bedVolume, flowPerHour, voidFraction. 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 emptyBedMinutes, voidResidenceMinutes. Use the output convention below.

Require nonnegative bedVolume, positive flowPerHour and voidFraction in [0,1]. Return emptyBedMinutes = 60*bedVolume/flowPerHour and voidResidenceMinutes = emptyBedMinutes*voidFraction.1

Input fieldMeaning and unitsAccepted input
bedVolumeBed VolumeRequired. Finite number; minimum 0.
flowPerHourFlow Per HourRequired. Finite number; strictly above 0.
voidFractionVoid FractionRequired. Finite number; minimum 0; maximum 1.
Output fieldInterpretationReturned shape
emptyBedMinutesEmpty Bed Minutes Unit: min.Required. Finite number.
voidResidenceMinutesVoid Residence Minutes Unit: min.Required. Finite number.
json
{
  "input": {
    "bedVolume": 10,
    "flowPerHour": 30,
    "voidFraction": 0.4
  },
  "output": {
    "emptyBedMinutes": 20,
    "voidResidenceMinutes": 8
  }
}

Limitations and assumptions

  • Use bed and hourly-flow volume units consistently. The distinction is whole-bed versus void volume; neither nominal time establishes adsorption breakthrough, required treatment performance or actual residence-time distribution.
  • 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 a complete hydraulic and treatment model when changing flows, turbulence, media behavior or safety margins matter.

References

  1. Calculation and input contract: environmental-engineering/activated-carbon-empty-bed-contact-time — tool.io

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