BIZOMAT MAKEOS · Maintenance

Filter Beta Ratio and Capture Efficiency

What beta ratio and capture efficiency does this filter achieve, and what will pass downstream?

Filtration (beta) ratio of a filter element from upstream and downstream particle counts at a given size, the capture efficiency, and the downstream count expected from a known beta ratio and upstream contamination.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
CalculationchoiceCalculate beta from counts, or the downstream count from a rated beta.
Upstream particles at the sizeper mLParticle count upstream of the filter at the stated size.
Downstream particles at the sizeper mLParticle count downstream at the same size.
Beta ratio (rating mode)Rated beta ratio at the size of interest (from the filter maker’s ISO 16889 / ISO 4572 multipass test).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Calculation
Illustration: CalculationThe options for Calculation, with the one currently selected highlighted.Beta from upstream and downstream countsDownstream count from a beta ratioExample: Beta from upstream and do…Calculation
What it is
What to work out: the beta ratio from measured particle counts before and after the filter, or the count passing downstream from a filter’s rated beta ratio.
Units and format
Choose one of 2 options from the list: Beta from upstream and downstream counts; Downstream count from a beta ratio.
Example
The form opens with “Beta from upstream and downstream counts” selected as a worked example. Choose the option that matches your case.
Get it right
Counts mode uses the upstream and downstream counts; rating mode uses the upstream count and beta.
What this means: Upstream particles at the size
Illustration: Upstream particles at the sizeA row of identical items being counted; Upstream particles at the size is how many there are.NuExample: 5000 per mLUpstream particles at the size
What it is
The number of particles of the stated size and larger per millilitre in the fluid flowing into the filter. Used in both modes.
Units and format
Enter a number in per mL: per mL. The form accepts 0.000001 per mL or more. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5000 per mL as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Upstream and downstream counts must be at the same particle size and taken at the same time.
What this means: Downstream particles at the size
Illustration: Downstream particles at the sizeA row of identical items being counted; Downstream particles at the size is how many there are.NdExample: 25 per mLDownstream particles at the size
What it is
The number of particles of the stated size and larger per millilitre in the fluid leaving the filter, used in counts mode.
Units and format
Enter a number in per mL: per mL. The form accepts 0 per mL or more. Required: the tool does not calculate until every input is valid.
Example
The form opens with 25 per mL as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Halving the downstream count doubles the beta ratio.
Get it right
It must be above zero and not larger than the upstream count.
What this means: Beta ratio (rating mode)
Illustration: Beta ratio (rating mode)Two wheels of different sizes linked together; Beta ratio (rating mode) compares one with the other.βExample: 200Beta ratio (rating mode)
What it is
The filter’s rated beta ratio at the particle size of interest: upstream count divided by downstream count in the maker’s multipass test. Used in rating mode.
Units and format
Enter a plain number with no unit. The form accepts 1 to 10000000. Required: the tool does not calculate until every input is valid.
Example
The form opens with 200 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The downstream count is the upstream count divided by beta.
Get it right
A beta rating applies only at its stated particle size; quote it as, for example, beta at 10 µm(c).

Method and formulas

  1. β_x = upstream count ÷ downstream count at particle size x.
  2. Efficiency = (1 − 1 ÷ β) × 100%.
  3. Downstream count = upstream ÷ β.
  4. Example: 5000 upstream and 25 downstream particles per mL is β = 200 (99.5% efficient).

Limitations

  • Beta ratios apply at one particle size and test condition; flow surges and cold starts reduce real efficiency.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Compare filter elements by their tested beta ratio
  • Estimate downstream cleanliness from a filter rating
  • Check a filter’s performance from before-and-after counts

Who it is for

  • Reliability engineers
  • Lubrication technicians
  • Maintenance engineers

What you get

  • Beta ratio
  • Capture efficiency
  • Particles passing

Interpreting the result

  • β 200 captures 99.5%; going from β 75 to β 200 cuts particles passing by more than half.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2441–2442. Topic reference; no source tables or recommended settings are reproduced.

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Open the Filter Beta Ratio and Capture Efficiency calculator