Examples
Examples
Try the starting example
- Known streams [signed total flow,component1 fraction,component2 fraction]
- [[100,0.3,0.7],[-60,0.2,0.8]]
- Unknown outlet component fractions
- 0.45,0.55
- Solved unknown outlet flow
- 40
- Component balance residuals
- [0,0]
Try another scenario
- Known streams [signed total flow,component1 fraction,component2 fraction]
- [[120,0.3,0.7],[-60,0.2,0.8]]
- Unknown outlet component fractions
- [0.45, 0.55]
- Solved unknown outlet flow
- 60.594059
- Component balance residuals
- [-3.26732673267,2.67326732673]
Calculation method
Calculation method
Solved unknown outlet flow
Least-squares scalar flow q with q×outlet fractions=sum signed known component flows.
Component balance residuals
Known signed component totals minus solved unknown outlet component flows; nonzero means incompatible supplied composition.
Symbols and units
- a
- Known streams [signed total flow,component1 fraction,component2 fraction]
- b
- Unknown outlet component fractions
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Two-component known-composition steady-state balance with one unknown outlet total flow; signed known flows positive in/negative out. Residuals expose inconsistent prescribed compositions. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Unknown outlet component fractions: minimum 0, maximum 1.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.