J1 Pro · HVAC Calculators

Duct ESP Calculator

External static pressure along the index run. ASHRAE friction and fitting methods. Choose the detailed node-by-node method or the quick section method.

Design settings

Detailed method

One node per fitting along the index run, from the fan to the last terminal. Tap a picture to see the fitting. Tees, wyes and transitions: the row is the outlet or branch (W2, H2, Q2); the inlet W1, H1, Q1 comes from the previous node unless you type it.

One node = one fitting. Leave Height blank for round (Width = Ø). Override takes a C value for fittings or Pa for accessories.

Design basis

Methods behind every number on this page. The same text is printed in the PDF report.

Duct friction

Velocity from the actual duct area (W × H, or π·Ø²/4). Velocity pressure Pv = ρ·V²/2.

Darcy-Weisbach ΔP/L = (f/Dh)·Pv, hydraulic diameter Dh = 2WH/(W+H), Re = 66.4·Dh·V, Altshul-Tsal friction factor f' = 0.11(ε/Dh + 68/Re)^0.25; f = f' if f' ≥ 0.018, else 0.85f' + 0.0028 (ASHRAE Fundamentals, Duct Design).

Fittings

ΔP = C·Pv with C worked out for each fitting's own size and flow.

Elbows: smooth radius rectangular elbows from the ASHRAE CR3-1 table by r/W and H/W (W = side in the plane of the bend), round elbows by r/D (ASHRAE CD3-1), × ASHRAE angle factor K. Choose the radius for each elbow in the Elbow column. Mitred elbows with or without turning vanes use typical values.

Junctions use r = V/Vupstream: straight-through C = 0.4(1−r)²/r²; angled branch C = A'(1 + r² − 2r·cos α)/r² (Idelchik); 90° conical tap C = (1 + 0.6r²)/r², fitted to ASHRAE data.

Transitions: expansion φ(1 − A1/A2)² on upstream Pv; contraction k(1 − A2/A1) on downstream Pv, by included angle.

Accessories and totals

Accessories: ΔP = ΔPref·(V/Vref)² from typical manufacturer catalogue points (mid-to-upper range). Use the manufacturer's selection value (Override) for final design.

Total ESP = (duct + fittings + accessories) × (1 + safety factor), rounded up to the selection step. ESP excludes losses inside the fan unit (coils, internal filters, casing).

Junction relations are for supply (diverging) flow. For return and exhaust systems the same relations are applied and the report says so.

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Total ESP · proposed
0 Pa