SPECIFICATION SHEET • SI METRIC
CAT: PROCESS

Multi-Stream Mass Balance

Solve multi-component mass distribution for 3-stream mineral circuits (Feed, Conc 1, Conc 2, Tailings).

💡 Engineering Knowledge PrimerMulti-stream mass balances extend conservation laws to complex flotation circuits producing multiple saleable concentrates (e.g., Copper and Zinc). By solving simultaneous linear mass equations, metallurgists evaluate inter-stage misplacement, cleaning stage efficiency, and overall circuit metal accounting.
OPERATING LIMITS — Reconciliation aid: verify all stream balances and infeasibility residuals independently.
INPUT DESIGN PARAMETERS (SI)
t/h
%
%
%
%
%
%
%
%
CALCULATED SPECIFICATION OUTPUT
Cu Concentrate Rate
✨
9.8 t/h
Zn Concentrate Rate15.13 t/h
Tailings Flow Rate225.07 t/h
Cu Recovery to Cu Conc84.93 %
Zn Recovery to Zn Conc89.93 %
Maximum Balance Residual0 t/h
Physically Feasible Solution Status

Carry Forward Calculated Result to Next Stage

In industrial design pipelines, calculations naturally feed into downstream tools. Click below to pass your calculated output directly into the next stage:

NEXT STAGE 01225.07
Tailings Slurry Flow

Use tailings solids mass flow as dry-solids feed. Set slurry properties explicitly in the next step.

Related planning checklists

This calculator appears in the following engineering planning checklists:

1. Slurry Density & Concentration2. Multi-Stream Mass Balance3. Yield & Mass-Pull Calculator

Technical Methodology & Engineering Principles

GOVERNING EQUATION
Solve linear system: [F = C1 + C2 + T], [F·f1 = C1·c1_1 + C2·c2_1 + T·t1], [F·f2 = C1·c1_2 + C2·c2_2 + T·t2]
Assumptions & Scope

Simultaneous 2-element conservation under steady-state circuit flow.

Operating Range & Boundary

Use finite, physically meaningful inputs within the stated operating assumptions.