Heat Transfer Coefficient Converter

Convert heat transfer coefficients (U-values, h-values) between W/(m²·K) and BTU/(hr·ft²·°F). Critical for heat exchanger sizing, HVAC design, and building energy modelling.

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Heat Transfer Coefficients in Engineering Design

The heat transfer coefficient (h or U) quantifies the efficiency of heat exchange between a fluid and a surface, or between two fluids through a separating wall. It is defined by Newton's Law of Cooling: q = h·A·ΔT, where q is heat transfer rate, A is area, and ΔT is temperature difference. The SI unit is watts per square metre per kelvin, W/(m²·K). The US Customary equivalent is BTU per hour per square foot per degree Fahrenheit, BTU/(hr·ft²·°F).

The heat transfer coefficient is one of the most important parameters in process engineering, HVAC system design, and building energy analysis. It governs the sizing of heat exchangers in power plants, petrochemical facilities, food processing, and data centres. Accurate conversion between W/(m²·K) and BTU/(hr·ft²·°F) is essential when using US equipment data sheets alongside European design codes, or when comparing ASHRAE-based HVAC specifications with UK Building Regulations Part L.

Types: Convective, Radiative, and Overall

The convective heat transfer coefficient (h) describes heat transfer between a flowing fluid and a solid surface. It depends on fluid properties, flow velocity, and surface geometry. Free convection of air over a vertical wall gives h ≈ 5–25 W/(m²·K); forced air convection gives h ≈ 25–250 W/(m²·K); water in turbulent flow gives h ≈ 300–20,000 W/(m²·K). These values directly determine whether natural convection cooling is sufficient or forced cooling is required.

The overall heat transfer coefficient (U) combines all thermal resistances in series: convection on one side, conduction through the wall, and convection on the other side. For a double-glazed window, U ≈ 1.4–2.0 W/(m²·K) is the combined resistance of indoor air film, glass panes, argon fill, and outdoor air film. UK Building Regulations Part L and ASHRAE 90.1 both specify maximum U-values for building envelope elements, using W/(m²·K) and BTU/(hr·ft²·°F) respectively.

Heat Exchangers: Shell-and-Tube and Plate

Heat exchanger design requires knowledge of the overall heat transfer coefficient U for the specific fluid pair and geometry. For a water-to-water shell-and-tube heat exchanger, U typically ranges from 800–1,800 W/(m²·K) (140–317 BTU/(hr·ft²·°F)). For a gas-to-gas heat exchanger, U is much lower: 10–40 W/(m²·K). These values determine the required heat transfer area (A = Q/(U·LMTD)), and hence the physical size and cost of the equipment.

The UK and US process engineering industries use both unit systems. TEMA (Tubular Exchanger Manufacturers Association, US) standards specify U-values in BTU/(hr·ft²·°F); European EN 13445 standards use W/(m²·K). An engineer sizing a heat exchanger for a cross-border project must convert fluently between these units. The conversion factor: 1 BTU/(hr·ft²·°F) = 5.67826 W/(m²·K).

Building Façades and Glazing

For building engineers, the overall heat transfer coefficient U is the primary metric for window and wall thermal performance. The UK Window Energy Rating (WER) system and BFRC (British Fenestration Rating Council) publish U-values in W/(m²·K). ENERGY STAR (US) and NFRC (National Fenestration Rating Council) publish U-factors in BTU/(hr·ft²·°F). A triple-glazed window with UK U-value of 0.6 W/(m²·K) corresponds to a US U-factor of 0.6 ÷ 5.678 = 0.106 BTU/(hr·ft²·°F).

Building information modelling (BIM) software such as Revit and IES VE supports both unit systems, but thermal analysis plugins (EnergyPlus for US, SAP/SBEM for UK) require consistent unit input. Architects working on international projects import manufacturer data sheets from the US (BTU/(hr·ft²·°F)) and must convert to W/(m²·K) for UK compliance calculations.

Boiling and Condensation

Phase-change heat transfer (boiling and condensation) achieves extremely high heat transfer coefficients: nucleate boiling of water on a heated surface reaches h = 5,000–100,000 W/(m²·K); film condensation of steam gives h = 4,000–25,000 W/(m²·K). These high values are exploited in steam condensers, refrigeration evaporators, and heat pipe technology. Power plant condensers operating at these coefficients can transfer enormous quantities of heat through compact surface areas, and their design relies on accurate h-value data in consistent units.

Core Conversion Formulas

The underlying mathematics used by our converter engine.

Conversion Exact Mathematical Formula
W/(m²·K) → BTU/(hr·ft²·°F) BTU/(hr·ft²·°F) = W/(m²·K) × 0.17612
BTU/(hr·ft²·°F) → W/(m²·K) W/(m²·K) = BTU/(hr·ft²·°F) × 5.67826
kcal/(hr·m²·°C) → W/(m²·K) W/(m²·K) = kcal/(hr·m²·°C) × 1.163
W/(m²·K) → kcal/(hr·m²·°C) kcal/(hr·m²·°C) = W/(m²·K) × 0.860
kW/(m²·K) → BTU/(hr·ft²·°F) BTU/(hr·ft²·°F) = kW/(m²·K) × 176.12

Frequently Asked Questions

What is the heat transfer coefficient?

The heat transfer coefficient (h or U) describes how effectively heat transfers between a surface and a fluid, in W/(m²·K). A higher value means faster heat transfer for a given temperature difference and area. It is used in the equation Q = h·A·ΔT to calculate heat transfer rate.

What is a typical U-value for a UK window?

A single-glazed window has U ≈ 5.6 W/(m²·K); a standard double-glazed unit with air fill is 2.8 W/(m²·K); modern argon-filled double glazing is 1.2–1.6 W/(m²·K); high-performance triple glazing achieves 0.5–0.8 W/(m²·K). UK Part L requires new dwellings to use windows with U ≤ 1.6 W/(m²·K).

How do I convert a US U-factor to a UK U-value?

Multiply the US U-factor (BTU/(hr·ft²·°F)) by 5.67826 to get the UK U-value in W/(m²·K). For example, ENERGY STAR U-factor 0.25 × 5.678 = 1.42 W/(m²·K) — a good-quality double-glazed unit.

What is the overall heat transfer coefficient for a shell-and-tube heat exchanger?

For water-to-water service, U is typically 800–1,800 W/(m²·K) (141–317 BTU/(hr·ft²·°F)). For steam-to-water, 1,000–6,000 W/(m²·K). For gas-to-gas, 10–40 W/(m²·K). These values are determined by fluid properties, flow rates, and fouling resistance.

Why is condensation heat transfer so efficient?

During condensation, latent heat is released as vapour changes phase to liquid at constant temperature. This isothermal process and the continuous liquid film renewal create very high local heat transfer rates (h = 4,000–25,000 W/(m²·K) for steam). This is why steam condensers in power plants are compact despite handling enormous heat loads.

thermostat

Real-World Benchmarks

  • Free convection (air)

    Vertical wall, natural flow

    5–25 W/(m²·K)

    0.88–4.4 BTU/(hr·ft²·°F)

  • Forced convection (water)

    Turbulent pipe flow

    3,000–10,000 W/(m²·K)

    528–1,761 BTU/(hr·ft²·°F)

  • UK double-glazed window

    Argon-fill, Part L

    ~1.4 W/(m²·K)

    ~0.247 BTU/(hr·ft²·°F)

  • Steam condensation

    Film condensation on tube

    ~10,000 W/(m²·K)

    ~1,761 BTU/(hr·ft²·°F)

  • Water-water heat exchanger

    Shell-and-tube

    ~1,200 W/(m²·K)

    ~211 BTU/(hr·ft²·°F)