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    HVAC / cooling coil

    Coil geometry and pressure drop

    A coil selection gives you rows and water flow; the next question is whether the thing fits and what it costs to push air and water through it. This sizes the face, works out the tube-side velocity and friction, and prices both pressure drops from the geometry.

    Tubes per row19Flow regimeTurbulentBypass factor0.050
    Face area
    0.48 m²
    0.53 m wide × 0.90 m high
    Water velocity
    1.50 m/s
    Re 1.198e+4 · f 0.0302
    Water pressure drop
    17.5 kPa
    6 circuits, 3.20 m developed
    Air pressure drop
    119 Pa
    20 Pa per row, wet
    Coil geometry and pressure drop
    Face, tube side and air side, from the geometry rather than a rule of thumb.
    18 kPa
    Coil geometry and pressure drop
    QuantityValueNote
    Face area0.48 m²2.5 m/s face velocity
    Face width × height0.53 × 0.90 m6 rows deep
    Tubes per row1950 mm pitch
    Circuits60.167 L/s each
    Tube inside diameter11.90 mm0.40 mm wall
    Water velocity1.50 m/sReynolds 1.198e+4
    Friction factor0.0302Blasius, smooth tube
    Water pressure drop17.5 kPaFriction plus return bends
    Air pressure drop119 Pa3.8 · rows · v^1.8
    Water volume2.1 LCharge and freeze protection
    Air-side area115.6 m²241 m² per m² of face
    Tube-side area2.27 m²All tubes, every row
    Air film h70 W/m²Kj = 0.0102 at Re 1769
    Water film h5249 W/m²KDittus–Boelter, turbulent
    Overall U37.6 W/m²KUA 4.35 kW/K
    NTU and bypass factor3.00 · 0.050Geometry drives the thermal result
    Rated point24.0 kWNTU 2.18, UA 3.16 kW/K
    Half load0.028UA 2.60 kW/K at 1.25 m/s, water 8.5 °C

    Water side is Darcy–Weisbach; the air side is a calibrated correlation, so replace the coefficient with manufacturer data when you have it.

    Inspect the model
    Choose a quick result view, a scaled comparison, or the complete diagnostic set.
    Water pressure drop against flow
    Roughly the square of the velocity, so doubling the flow roughly quadruples the drop.
    Water pressure drop against flow0.00017.2334.4651.6968.9286.150.20.20.40.40.60.60.80.81.01.01.21.21.41.41.61.61.81.82.02.02.22.2kPa
    Air pressure drop against face velocity
    A 1.8 power: pushing more air through the same face gets expensive quickly.
    Air pressure drop against face velocity0.00076.55153.11229.66306.21382.771.01.01.41.41.71.72.02.02.42.42.82.83.13.13.43.43.83.84.24.24.54.5Pa
    Canonical equations
    The exact relationships implemented by this engine.

    A = V̇ / v_face · Sets the coil footprint.

    v = q̇ / (π d_i²/4) · Per circuit, not the whole coil.

    f = 0.316 Re^−0.25 · Blasius, smooth tube, Re below 10⁵.

    (f L/d_i + ΣK) ρv²/2 · Return bends carry a K of about 1.5 each.

    engineering methodology

    A clear path from inputs to results.

    A coil selection gives you rows and water flow; the next question is whether the thing fits and what it costs to push air and water through it. This sizes the face, works out the tube-side velocity and friction, and prices both pressure drops from the geometry rather than a rule of thumb.

    Step-by-step methodWorked exampleAssumptions explained

    How to use

    1. Set the airflow and the face velocity you want to run at.
    2. Enter the rows, face height and tube pitch to fix the tube count.
    3. Choose the tube diameter, wall and number of circuits.
    4. Enter the water flow and temperature.
    5. Read the face area, water velocity, and both pressure drops.

    The formula

    A=V˙/vface  ;  f=0.316 Re−0.25  ;  Δpw=(fLdi+ΣK)ρv22A = \dot V / v_{face} \;;\; f = 0.316\,Re^{-0.25} \;;\; \Delta p_w = \left(f\frac{L}{d_i} + \Sigma K\right)\frac{\rho v^2}{2}

    Reference: Darcy–Weisbach with the Blasius friction factor; air-side correlation calibrated to published finned-coil curves.

    Worked example

    1.2 m³/s coil, six rows, six circuits

    Inputs
    • Airflow 1.2 m³/s at 2.5 m/s face velocity.
    • Six rows, 0.9 m face height, 50 mm tube pitch, 12.7 mm tubes with 0.4 mm wall.
    • Six circuits, 1.0 L/s of water at 7 °C.
    Calculation path
    1. 1

      Face area 1.2 / 2.5 = 0.48 m², so the coil is 0.53 m wide by 0.9 m high.

    2. 2

      19 tubes per row at a 50 mm pitch; six circuits share the 1 L/s.

    3. 3

      Each circuit carries 0.167 L/s through an 11.9 mm bore: 1.50 m/s and Re 11,980.

    4. 4

      f = 0.316 × 11,980^−0.25 = 0.0302 over a 3.2 m developed length plus five return bends.

    5. 5

      Water drop 17.5 kPa; air drop 3.8 × 6 × 2.5^1.8 = 119 Pa, about 0.22 kW of fan power.

    Result

    0.48 m² face · 1.50 m/s water · 17.5 kPa water · 119 Pa air.

    Interpreting the result

    The water side is real hydraulics: doubling the flow roughly quadruples the drop, and adding circuits divides the flow per tube so the drop falls sharply. The air side is a correlation, so treat it as a screening number and replace the coefficient with manufacturer data when you have a real coil to select.

    Assumptions & limitations

    • One tube per row per circuit, joined by return bends with a loss coefficient of 1.5.
    • Smooth tubes, Blasius friction below Re 10⁵, water properties at the stated temperature.
    • Air-side drop is an engineering correlation of about 20 Pa per row at 2.5 m/s wet.
    • A fouling resistance of 0.0002 m²K/W is included in the overall coefficient.
    • A rated capacity, when given, replaces the correlation with the conductance implied by the manufacturer's point.

    Frequently asked questions

    What water velocity should I aim for?

    Between about 0.6 and 2.5 m/s. Slower risks poor distribution and fouling; faster erodes the tubes and costs pump power for little gain in heat transfer.

    Is the air-side number reliable?

    It is calibrated to published curves and is good to roughly ±25%. Enter a rated capacity and the model inverts the rating to a conductance instead, which is exact for that point.

    Why does adding circuits cut the pressure drop so much?

    The flow per tube falls in proportion, and the drop goes with the square of velocity. Twelve circuits instead of six gives a quarter of the drop, at the cost of more complex headers.

    What about the water volume?

    It sets the charge, the freeze protection and how fast the coil responds to a valve movement. A large volume is slower to react.

    Methodology last reviewed 2026-10-21. Results are informational and not financial or engineering advice — see our disclaimer.