Network — Parallel Airways Resistance
Parallel Airways Resistance for ventilation network design and surveying.
Mine airflow follows a square law, so parallel paths combine by inverse square roots — not the inverse sums electrical intuition expects. Driving a second parallel drift cuts resistance to a QUARTER (not half), which is why twin-heading development pays ventilation dividends forever.
Formula
Note: Mine ventilation is statutory and life-safety territory: airflow quantities, gas limits and re-entry times must be set by the registered ventilation engineer/manager under your jurisdiction's mining regulations — this calculator is a planning and training aid.
Parallel Airways Resistance for ventilation network design and surveying. A free mine ventilation & air quality tool — no sign-up, no upload, instant results in your browser.
About Network — Parallel Airways Resistance
Network — Parallel Airways Resistance computes the governing relationship 1/√R_eq = Σ 1/√Rᵢ [square-law parallel combination] live as you type. Mine airflow follows a square law, so parallel paths combine by inverse square roots — not the inverse sums electrical intuition expects. Driving a second parallel drift cuts resistance to a QUARTER (not half), which is why twin-heading development pays ventilation dividends forever. Defaults are pre-filled with realistic values for this exact scenario, and the worked example substitutes your numbers step by step so the math is never a black box.
How to use Network — Parallel Airways Resistance
- 1Enter your values — Airway 1 resistance, Airway 2 resistance, Airway 3 resistance (0 = none) (sensible defaults are pre-filled).
- 2Read the live results: Equivalent resistance.
- 3Check the "with your numbers" line to see 1/√R_eq = Σ 1/√Rᵢ [square-law parallel combination] substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Network — Parallel Airways Resistance?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula 1/√R_eq = Σ 1/√Rᵢ [square-law parallel combination] with authoritative sources cited on the page (McPherson, M.J., Subsurface Ventilation and Environmental Engineering; Hartman et al., Mine Ventilation and Air Conditioning, 3rd ed.)
- ✓Mine airflow follows a square law, so parallel paths combine by inverse square roots — not the inverse sums electrical intuition expects.
- ✓Niche-specific defaults give a meaningful worked answer the moment the page loads
Frequently asked questions
What formula does the network — parallel airways resistance use?+
It evaluates 1/√R_eq = Σ 1/√Rᵢ [square-law parallel combination], exactly as published. Sources: McPherson, M.J., Subsurface Ventilation and Environmental Engineering; Hartman et al., Mine Ventilation and Air Conditioning, 3rd ed.. The substituted worked example on the page lets you verify every step against the textbook.
How should I read the result — and how far can I trust it?+
Mine airflow follows a square law, so parallel paths combine by inverse square roots — not the inverse sums electrical intuition expects. Mine ventilation is statutory and life-safety territory: airflow quantities, gas limits and re-entry times must be set by the registered ventilation engineer/manager under your jurisdiction's mining regulations — this calculator is a planning and training aid.
When is this calculator the right tool for the job?+
Parallel Airways Resistance for ventilation network design and surveying. A free mine ventilation & air quality tool. Driving a second parallel drift cuts resistance to a QUARTER (not half), which is why twin-heading development pays ventilation dividends forever. For neighbouring scenarios, the related tools below cover the same engine with different presets.
Do I need to install anything or create an account?+
No. The tool is pure client-side JavaScript: open the page and it works, offline once loaded, with no account, no quota and no data leaving your device.
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