Heat Transfer Calculator

Engineering Calculators › Heat Transfer Calculator
Engineering · Thermodynamics

Heat Transfer Calculator

A five-mode thermal suite: conduction through a wall, thermal resistance, LED / heat-sink junction temperature, convection, and overall U-value heat loss — with a built-in material library that fills in thermal conductivity for you.

Heat transfer rate

A Five-Mode Heat Transfer Suite

Heat moves three ways — conduction, convection and radiation — and most engineering problems come down to one of a few standard calculations. This suite bundles the five you actually reach for, each with automatic Watts and BTU/hr output and a material library that supplies thermal conductivity so you do not have to look it up.

Conduction Through a Wall

The steady-state heat flow through a flat layer:

Q = (k × A × ΔT) / L

where k is thermal conductivity, A the area, ΔT the temperature difference across the layer and L its thickness. Bigger area and hotter difference push more heat; thicker or more insulating material slows it down.

Thermal Resistance

Often it is cleaner to think in resistance, especially for electronics and stack-ups:

R = L / (k × A)

Resistance adds in series just like electrical resistance, and the temperature drop across a layer is ΔT = Q × R.

Heat Sink / LED Junction Temperature

The mode that sets this tool apart. Given a device power, the ambient temperature and the thermal resistances from junction to case and case to ambient (the heat sink and interface), the junction temperature is:

Tj = Tambient + P × (Rjc + Rca)

This answers the question that sells the design review: I have a 30 W LED on this heat sink at 40°C ambient — what is my junction temperature, and does it stay under the device limit? The calculator flags any result above the ~125°C maximum common to many LEDs and power semiconductors.

Convection

Q = h × A × ΔT

Newton’s law of cooling. The heat transfer coefficient h captures the fluid and flow: roughly 5–25 W/m²K for natural air, 25–250 for forced air, and far higher for liquids.

Overall Heat Transfer (U-Value)

Q = U × A × ΔT

The building and HVAC workhorse. The U-value rolls every layer of an assembly into one number, and the suite turns the heat loss into daily and annual energy so you can see the running cost of a temperature difference.

Thermal Conductivity Reference

The material library auto-fills these typical values of k (W/m·K):

Materialk (W/m·K)
Copper401
Aluminum 6061167
Brass109
Steel50
Stainless steel16
Concrete1.4
FR4 (PCB)0.3
Wood0.15
Fiberglass0.04
Air0.026

Frequently Asked Questions

Watts or BTU/hr?

They measure the same thing — rate of heat flow. The calculator shows both (1 W = 3.412 BTU/hr) so you can hand the result to either an SI or an imperial audience.

What is a good Rca for an LED?

It depends entirely on the heat sink and airflow. A small natural-convection sink might be 5–15°C/W; a large finned sink with a fan can be under 1°C/W. Lowering it is usually the cheapest way to drop junction temperature.

Does this include radiation?

Not directly. At moderate temperatures conduction and convection dominate; radiation matters more at high surface temperatures and can be added as a parallel path.

Thermal conductivity values are typical figures for education and preliminary design and vary with alloy, temperature, moisture and grade. Verify against material datasheets and the relevant standards for critical thermal designs.
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.