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Heat transfer rate calculator

The rate of heat flow by any of the three mechanisms: conduction through a wall (Q = k·A·ΔT/d), convection from a surface (Q = h·A·ΔT), or radiation between bodies (Q = ε·σ·A·(T₁⁴ − T₂⁴), with temperatures in kelvin). Pick a mode; only its fields matter.

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Need Heat transfer rate Q (W), In kilowatts (kW)? The Heat transfer rate calculator derives it from Mechanism, Area A (m²), Temperature 1 — T₁ (°C, or K for radiation), Temperature 2 — T₂ (°C, or K for radiation), Conduction — k (W/m·K), Conduction — thickness d (m), Convection — h (W/m²·K), Radiation — emissivity ε (0–1) in one step. For instance, with Mechanism = Conduction (through a wall), Area A (m²) = 2, Temperature 1 — T₁ (°C, or K for radiation) = 90, Temperature 2 — T₂ (°C, or K for radiation) = 20, Conduction — k (W/m·K) = 0.6, Conduction — thickness d (m) = 0.1, Convection — h (W/m²·K) = 25 and Radiation — emissivity ε (0–1) = 0.9 it returns Heat transfer rate Q (W) = 840 and In kilowatts (kW) = 0.84.

How to use it

  1. Enter your values: Mechanism, Area A (m²), Temperature 1 — T₁ (°C, or K for radiation), Temperature 2 — T₂ (°C, or K for radiation), Conduction — k (W/m·K), Conduction — thickness d (m), Convection — h (W/m²·K), Radiation — emissivity ε (0–1).
  2. Read the result instantly: Heat transfer rate Q (W), In kilowatts (kW).

Frequently asked questions

What does the Heat transfer rate calculator actually compute?

It takes Mechanism, Area A (m²), Temperature 1 — T₁ (°C, or K for radiation), Temperature 2 — T₂ (°C, or K for radiation), Conduction — k (W/m·K), Conduction — thickness d (m), Convection — h (W/m²·K) and Radiation — emissivity ε (0–1) and derives Heat transfer rate Q (W) and In kilowatts (kW) from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

8 values: Mechanism, Area A (m²), Temperature 1 — T₁ (°C, or K for radiation), Temperature 2 — T₂ (°C, or K for radiation), Conduction — k (W/m·K), Conduction — thickness d (m), Convection — h (W/m²·K) and Radiation — emissivity ε (0–1). Nothing else is required — no account, no file upload.

Can you show a worked example?

With Mechanism = Conduction (through a wall), Area A (m²) = 2, Temperature 1 — T₁ (°C, or K for radiation) = 90, Temperature 2 — T₂ (°C, or K for radiation) = 20, Conduction — k (W/m·K) = 0.6, Conduction — thickness d (m) = 0.1, Convection — h (W/m²·K) = 25 and Radiation — emissivity ε (0–1) = 0.9, the calculator returns Heat transfer rate Q (W) = 840 and In kilowatts (kW) = 0.84. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

What happens if I enter larger values?

It moves a lot. Using Mechanism = Convection (from a surface), Area A (m²) = 4, Temperature 1 — T₁ (°C, or K for radiation) = 180, Temperature 2 — T₂ (°C, or K for radiation) = 40, Conduction — k (W/m·K) = 1.2, Conduction — thickness d (m) = 0.2, Convection — h (W/m²·K) = 50 and Radiation — emissivity ε (0–1) = 1.8 instead, Heat transfer rate Q (W) goes from 840 to 28,000 — which is why it is worth testing a few scenarios rather than trusting a single figure.

Which “Mechanism” option should I choose?

You can pick between « Conduction (through a wall) », « Convection (from a surface) » and « Radiation (between bodies) ». Each one changes what the calculator works out, so switch and compare — the default is « Conduction (through a wall) ».

What does it give for smaller values?

Scaled down to Mechanism = Conduction (through a wall), Area A (m²) = 1, Temperature 1 — T₁ (°C, or K for radiation) = 45, Temperature 2 — T₂ (°C, or K for radiation) = 10, Conduction — k (W/m·K) = 0.3, Conduction — thickness d (m) = 0.05, Convection — h (W/m²·K) = 12.5 and Radiation — emissivity ε (0–1) = 0.45, Heat transfer rate Q (W) comes out at 210. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Checking a homework answer, sizing something before building it, and getting an order of magnitude before committing to a design — a torque on a bolt, the force a spring returns, the frequency a circuit resonates at, how long light takes to arrive.

What is the most common mistake?

Feeding in a value in the wrong unit. Physics formulas assume SI throughout, so grams instead of kilograms or centimetres instead of metres shifts the answer by powers of ten without any warning.

How accurate is it, and what are the limits?

Radiation mode expects absolute temperatures in kelvin.

What is the difference between the Heat transfer rate calculator and the Specific heat calculator?

This one returns Heat transfer rate Q (W) and In kilowatts (kW); the Specific heat calculator returns Heat energy (J) and Heat energy (kJ). That is the whole difference — open the one whose figure you need.

Further reading

All guides
ExplainerHow the Doppler Effect Works: The Formula, the Sign Convention, and Why Moving the Source Is Not the Same as Moving the ListenerFor sound, f' = f(v + v_o)/(v − v_s) — and getting the signs backwards is the classic error. Here is the convention spelled out, a 440 Hz source computed at four speeds, and why light needs a different equation entirely.ExplainerWhat Is the Reynolds Number? The Formula, the Units That Cancel, and Why 2 300 Is Only for PipesRe = ρvL/μ compares inertia with viscosity, and the units really do cancel. See the number worked out for honey, a household pipe, an artery, a swimmer and a wing — and why the 2 300 threshold belongs to pipe flow alone.ExplainerHow Buoyancy Works: Archimedes' Principle, and Why Ice Floats With 10.5 % Above WaterThe upward force equals the weight of the fluid pushed aside. That one sentence decides whether something floats, and if it floats, exactly how much of it stays under.ComparisonInsulate or Replace the Heating: Which Repays First, and Why the Answer InvertsPut both on one axis — euros paid per kilowatt-hour a year of permanent saving — and the comparison becomes decidable. The same loft job costs 0.83 euros per kilowatt-hour a year in a 1965 house and 5.00 in a 2005 one, a factor of six. That, and not the age of the building by itself, is what inverts the verdict.ExplainerHooke's Law Explained: F = kx, Real Spring Constants, and Where It Stops HoldingHooke's law says force is proportional to stretch — but only below the elastic limit. Here is F = kx with worked numbers, what a 200 N/m spring actually feels like, and how springs combine.GuideThe Four Kinematics Equations: Which One to Use, and What Each One Leaves OutFive variables, four equations, and each equation is missing exactly one of them. Choose by looking at the variable the question never mentions.
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