Airway Resistance — Decline Ramp (Trucking)
Atkinson resistance and frictional pressure loss for a decline ramp (trucking) at its design airflow.
Modern trackless declines are long — 3 km of ramp at even good k accumulates serious pressure demand, all of it fought by the surface fan. Every passing bay and stockpile niche locally drops velocity and pools exhaust; ramps deserve velocity checks at the narrowest equipped section, not the nominal profile.
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.
Atkinson resistance and frictional pressure loss for a decline ramp (trucking) at its design airflow. A free mine ventilation & air quality tool — no sign-up, no upload, instant results in your browser.
About Airway Resistance — Decline Ramp (Trucking)
Airway Resistance — Decline Ramp (Trucking) computes the governing relationship R = k·P·L/A³ · p = R·Q² [Atkinson] live as you type. Modern trackless declines are long — 3 km of ramp at even good k accumulates serious pressure demand, all of it fought by the surface fan. Every passing bay and stockpile niche locally drops velocity and pools exhaust; ramps deserve velocity checks at the narrowest equipped section, not the nominal profile. 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 Airway Resistance — Decline Ramp (Trucking)
- 1Enter your values — Friction factor k, Airway length, Cross-section area, Perimeter and more (sensible defaults are pre-filled).
- 2Read the live results: Resistance R, Pressure loss, Air velocity.
- 3Check the "with your numbers" line to see R = k·P·L/A³ · p = R·Q² [Atkinson] substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Airway Resistance — Decline Ramp (Trucking)?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula R = k·P·L/A³ · p = R·Q² [Atkinson] 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.)
- ✓Modern trackless declines are long — 3 km of ramp at even good k accumulates serious pressure demand, all of it fought by the surface fan.
- ✓SI ⇄ Imperial toggle converts your inputs in place, so you can work in the units your drawings use
Frequently asked questions
What formula does the airway resistance — decline ramp (trucking) use?+
It evaluates R = k·P·L/A³ · p = R·Q² [Atkinson], 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?+
Modern trackless declines are long — 3 km of ramp at even good k accumulates serious pressure demand, all of it fought by the surface fan. 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?+
Atkinson resistance and frictional pressure loss for a decline ramp (trucking) at its design airflow. A free mine ventilation & air quality tool. Every passing bay and stockpile niche locally drops velocity and pools exhaust; ramps deserve velocity checks at the narrowest equipped section, not the nominal profile. For neighbouring scenarios, the related tools below cover the same engine with different presets.
Does it support both metric and imperial units?+
Yes — the SI ⇄ Imperial toggle converts the values already in the fields, preserving the physical quantity, so you can flip mid-calculation without re-entering anything.
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