ℹ️ About This Calculator
Accurate duct pressure drop calculations ensure fans are correctly sized and air is distributed evenly throughout the HVAC system. The equal friction method sizes ducts to maintain a constant friction rate (typically 0.8–1.2 Pa/m) through all branches, balancing the system. This calculator covers both rectangular and circular ducts using the Darcy-Weisbach equation with Colebrook-White friction factors.
ASHRAE Fundamentals Handbook (Chapter 21) and ISHRAE guidelines govern duct sizing in India. Equal friction method is most common for comfort conditioning; static regain method for high-velocity systems; constant velocity for exhaust/return ducts. Maximum duct velocity limits: living areas < 5 m/s (noise); offices < 8 m/s; plant rooms < 12 m/s. Sheet metal ducts: Gauge 26 (0.5 mm) for up to 750 mm width; Gauge 24 (0.6 mm) for 750–1500 mm; Gauge 22 (0.7 mm) for over 1500 mm.
📐 Duct Pressure Drop (Darcy-Weisbach)
ASHRAE Handbook / ISHRAE
Friction Pressure Drop: ΔP_f = f × (L/D_h) × (ρV²/2) f = friction factor (from Moody chart / Colebrook-White) D_h = hydraulic diameter = 4A/P For rectangular duct: D_h = (4 × a × b) / (2(a+b)) ρ_air = 1.2 kg/m³ at 20°C, 1.15 at 25°C Velocity Pressure: P_v = ρV²/2 (Pa) Recommended duct velocity: main ducts 5–10 m/s; branches 3–6 m/s Dynamic Loss (fittings): ΔP_d = ζ × P_v ζ (loss coefficient): elbow 0.2–0.8; tee branch 0.5–1.5; diffuser 0.3
🧮 Worked Example
Example: A 600×300 mm rectangular main duct carries 1.0 m³/s of supply air over a 25 m run at ρ = 1.2 kg/m³. Velocity V = 1.0/(0.6×0.3) = 5.56 m/s, and hydraulic diameter D_h = (4×0.6×0.3)/(2×(0.6+0.3)) = 0.4 m. Using a typical friction factor f ≈ 0.02 from the Colebrook-White chart: ΔP_f = 0.02 × (25/0.4) × (1.2×5.56²/2) ≈ 23.2 Pa, close to the recommended 0.8–1.0 Pa/m friction rate for the 25 m length. Adding two 90° elbows (ζ = 0.3 each) contributes dynamic loss ΔP_d = 2 × 0.3 × 18.5 ≈ 11.1 Pa, giving a total section loss of about 34 Pa for fan sizing.
📊 Duct Velocity & Friction Reference (ASHRAE)
The equal-friction method sizes ductwork to a constant pressure loss per metre - typically 0.8-1.0 Pa/m for low-velocity comfort systems. Staying within the recommended velocity band for each application controls both noise and fan energy.
Recommended Air Velocities
| Application | Main duct (m/s) | Branch duct (m/s) |
|---|---|---|
| Residences | 3.5 – 5.0 | 3.0 |
| Offices, schools, hospitals | 5.0 – 6.5 | 3.0 – 4.5 |
| General commercial | 6.0 – 7.5 | 4.0 – 5.0 |
| Industrial | 6.0 – 9.0 | 4.0 – 6.0 |
Design Notes
Keep the duct aspect ratio below about 4:1 - flatter ducts have more surface area, higher friction and greater heat gain. Add fitting losses (bends, transitions, dampers) as equivalent length or loss coefficients; on a typical layout these can equal or exceed the straight-duct loss, so they must not be ignored when selecting the fan.
Indicative velocities for low-velocity systems; noise-critical spaces (studios, wards) require the lower end of each range.
❓ Frequently Asked Questions
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