Model branch allocation with conductance-based engineering logic. Apply limits, priorities, density, diameters, and branch availability. Plot shares, export tables, and validate balancing assumptions quickly.
Enter inlet conditions, then define branch conductance, limits, diameter, and availability. Results appear above this form after submission.
| Branch | C | n | Priority | Min Flow (kg/s) | Max Flow (kg/s) | Diameter (m) | Enabled |
|---|---|---|---|---|---|---|---|
| Branch A | 0.0105 | 0.50 | 1.00 | 0.30 | 2.80 | 0.065 | Yes |
| Branch B | 0.0088 | 0.55 | 0.95 | 0.25 | 2.20 | 0.060 | Yes |
| Branch C | 0.0120 | 0.50 | 1.10 | 0.20 | 3.10 | 0.070 | Yes |
| Branch D | 0.0075 | 0.60 | 1.00 | 0.15 | 1.90 | 0.055 | Yes |
Suggested global example inputs: total flow 6.0 kg/s, density 998 kg/m³, viscosity 0.0010 Pa·s, and pressure drop 80,000 Pa.
1) Branch capacity estimate
capacityi = availabilityi × Ci × ΔPni × priorityi
2) Initial weighted distribution
weighti = capacityi
requested sharei = total flow × weighti / Σ(weight)
3) Constrained redistribution
The calculator first assigns minimum branch flow. Remaining supply is redistributed among branches that still have free capacity. If a branch reaches its upper limit, the leftover flow is reassigned to the remaining branches.
4) Volumetric flow
Qi = ṁi / ρ
5) Cross-sectional area
Ai = π × di2 / 4
6) Velocity
Vi = Qi / Ai
7) Reynolds number
Rei = ρ × Vi × di / μ
This method is a practical engineering approximation for parallel branches under a shared pressure drop. It is useful for balancing studies, preliminary sizing, and scenario checks.
It distributes a known inlet mass flow across parallel branches using conductance, pressure drop, limits, and priority factors. It also estimates velocity and Reynolds number for each branch.
C is a branch-specific factor describing how easily flow passes through that path. Larger values produce greater capacity under the same pressure drop.
The exponent lets you mimic different flow behaviors. Values near 0.5 often represent turbulent or orifice-style behavior, while values near 1.0 resemble more linear responses.
The calculator caps each branch at its effective maximum and reports the remaining amount as unallocated flow. This highlights an overloaded distribution scenario.
Minimum limits help preserve essential branch service. Maximum limits prevent unrealistic or unsafe allocations when a branch should not accept more flow.
Density converts mass flow into volumetric flow. Viscosity allows Reynolds number estimation, which helps interpret whether branch flow is likely laminar or turbulent.
It is best for preliminary engineering studies, balancing checks, and sensitivity analysis. Final design should use detailed hydraulic models, verified equipment data, and safety review.
Yes. Clear the enabled checkbox for any closed branch. The calculator removes that path from distribution and sets its calculated branch flow to zero.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.