Description
Return a geometric recycle multiplier.
Process balances distinguish fresh, recycled, purged and reacted quantities on a common time and material basis. Local residuals or geometric retention factors can diagnose supplied bookkeeping, while actual steady state, feasible composition and reaction performance require a complete physical model.
Return a geometric recycle multiplier.
When to use this tool
Use Recycle Loop Retention Factor when checking the stated recycle, purge, conversion or balance convention.
How to use the tool and how it works
- Enter recycleFraction, perPassRetention. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read loopRetention, geometricMultiplier. Use the output convention below.
Return a geometric recycle multiplier. Require recycleFraction/perPassRetention in [0,1] and their product < 1; loopRetention = product, geometricMultiplier = 1/(1-product).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| recycleFraction | Recycle Fraction | Required. Finite number; minimum 0; maximum 1. |
| perPassRetention | Per Pass Retention | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| loopRetention | Loop Retention | Required. Finite number. |
| geometricMultiplier | Geometric Multiplier | Required. Finite number. |
{
"input": {
"recycleFraction": 0.5,
"perPassRetention": 0.5
},
"output": {
"loopRetention": 0.25,
"geometricMultiplier": 1.3333333333333333
}
}Limitations and assumptions
- This assumes identical linear repeated-pass behavior; the singular unit-retention case is rejected and no full recycle solution is computed.
- 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
Reconcile every relevant stream and component with compatible units; validate the complete steady-state or dynamic process model and actual material properties.
References
Similar or alternative tools
- Recycle Purge Component Share
Split a recycle component between purge and return.
- Recycle Purge Inert Steady Fraction
Return inert fraction implied by a purge steady-state balance.