Calculate overall and individual heat transfer coefficients for conduction, convection, and radiation. Analyze composite walls, pipes, and heat exchangers.
The Heat Transfer Coefficient Calculator determines overall and individual heat transfer coefficients (U-values) for thermal systems. The overall heat transfer coefficient U combines the resistances from convection on both sides and conduction through solid materials — it is the key parameter for heat exchangers, building envelopes, and industrial thermal equipment.
Understanding heat transfer coefficients allows engineers to size heat exchangers, predict wall heat loss, design insulation systems, and optimize thermal processes. The calculator handles composite walls (multiple layers), pipe insulation, and plate/shell-and-tube heat exchangers.
Enter material properties and film coefficients to calculate U-values, heat flux, and the temperature distribution through each layer. Compare different insulation thicknesses and materials to optimize your thermal design. It gives you a quick way to see which layer is limiting heat flow most. That is useful before you spend time on a more detailed thermal model. It also makes it easy to compare wall, pipe, and exchanger cases in one place.
Use this calculator when you need to combine convection and conduction resistances into a single U-value. It is useful for wall, pipe, and heat-exchanger calculations where heat flow depends on the weakest thermal path. That makes thermal bottlenecks easier to identify early. It also gives you a quick check on how insulation changes the total resistance.
Flat Wall: 1/U = 1/h₁ + Σ(L_i/k_i) + 1/h₂. Pipe: 1/(U·A) = 1/(h₁·A₁) + Σ(ln(r_out/r_in)/(2πkL)) + 1/(h₂·A₂). Heat Flux: q = U × ΔT. Total: Q = U × A × ΔT. Where h = convection coefficient (W/m²K), k = thermal conductivity (W/mK), L = thickness (m).
Result: U = 0.58 W/m²K (R = 1.72 m²K/W)
R_total = 1/10 + 0.2/0.7 + 0.05/0.04 + 0.02/0.5 + 1/25 = 0.1 + 0.286 + 1.25 + 0.04 + 0.04 = 1.716 m²K/W. U = 1/1.716 = 0.583 W/m²K, which rounds to 0.58 W/m²K. With 20°C inside and 0°C outside: q = 0.583 × 20 = 11.65 W/m².
Real walls consist of multiple layers (brick, insulation, air gaps, drywall). Each layer adds thermal resistance R = L/k. Series resistances add directly: R_total = R_1 + R_2 + ... + R_n. The temperature drops across each layer proportionally to its resistance fraction. This allows you to find the temperature at any interface — important for checking whether condensation will occur within the wall.
Typical overall U-values for heat exchangers: water-to-water 800-1500 W/m²K, steam-to-water 1000-3500, air-to-air 10-40, gas-to-liquid 15-70. The LMTD (Log Mean Temperature Difference) method uses U to size heat exchangers: Q = U × A × LMTD. For preliminary sizing, U estimates from published tables are adequate; detailed design requires individual film coefficients and fouling factors.
Building energy codes specify maximum U-values for walls, roofs, floors, and windows. ASHRAE 90.1 and IECC require wall U-values of 0.06-0.12 W/m²K (R-13 to R-25) depending on climate zone. Passive House standard requires U ≤ 0.15 W/m²K for all envelope components. Window U-factors range from 1.2 (double-pane) to 0.15 (triple-pane with gas) — typically the weakest point in the envelope.
U (W/m²K or BTU/h·ft²·°F) represents how easily heat flows through a complete assembly — from hot fluid through the wall to cold fluid. A higher U means more heat transfer. U combines all thermal resistances (convection films, conduction layers, fouling) in series.
U = 1/R. U-value (W/m²K) measures heat transfer rate; R-value (m²K/W) measures thermal resistance. Higher R = better insulation = lower U. Building codes typically specify R-values for insulation and U-values for windows and overall assemblies.
Natural convection in air: 5-25 W/m²K. Forced air: 25-250. Water natural: 100-1000. Water forced: 500-10,000. Boiling: 2,500-50,000. Condensing: 5,000-100,000. These film coefficients often dominate or are comparable to conduction resistance.
Fouling is buildup on heat exchanger surfaces (scale, corrosion, biological growth) that adds thermal resistance. Typical fouling resistances: clean water 0.0001 m²K/W, cooling tower water 0.0003, fuel oil 0.0007. Fouling factors are added to the total resistance.
Adding insulation reduces U-value (good for buildings). However, for pipes, there is a "critical radius" below which adding insulation actually increases heat transfer by increasing surface area more than thermal resistance. Critical radius = k_insulation / h_outside.
The largest individual resistance controls the overall U-value. If the air film (1/h) dominates, increasing insulation thickness has diminishing returns. If conduction dominates, improving the film coefficient won't help much. Identify the bottleneck to optimize effectively.