Lesson 2/1315%
MODULE 02 — FUNDAMENTALS

Heat Transfer Fundamentals

Heat always flows from hot regions to cold regions. Master the three modes of heat transfer — conduction, convection, and radiation — that govern every thermal design decision, from a die attach layer to a heatsink's fin array.

Learning Objectives

Explain the three modes of heat transfer
Apply Fourier's Law of conduction
Apply Newton's Law of Cooling
Apply the Stefan-Boltzmann radiation law
Identify the dominant mechanism in a given design
Combine all three modes in a virtual thermal lab

Thermal energy is the kinetic energy of atoms and molecules. Higher temperature means faster molecular vibrations. When two objects at different temperatures are placed in contact, energy transfers from the hotter object to the cooler one until they reach thermal equilibrium — governed by the Second Law of Thermodynamics, which states that heat flows spontaneously only from hot to cold.

Interactive: Move the slider to change the temperature difference between two bodies and watch the relative heat flow rate respond.
Temperature Difference50 °C
Relative Heat Flow
125
Relative Equilibrium Time
2.0 s

Click each card to expand its electronics-specific examples and key governing parameter.

🔗 Conduction

Heat transfer through direct contact within a material.

Die → Package → TIM → Heatsink. PCB copper planes spread heat. Thermal vias conduct between layers. Key factor: thermal conductivity (k).
Click to expand →
💨 Convection

Heat transfer between a surface and a moving fluid.

Heatsink fins transferring heat to air. Fan blowing across components. Liquid cold plates. Key factor: convection coefficient (h), which increases with airflow velocity.
Click to expand →
☀️ Radiation

Heat transfer via electromagnetic waves — no medium required.

Heatsink surface radiating to enclosure walls. Black anodized finishes improve rejection. Contributes ~10-25% of natural convection cooling. Key factor: surface emissivity (ε).
Click to expand →

Conduction moves heat through a material by molecular vibration and free electron movement, with no bulk motion of the material. It is the primary mechanism carrying heat from a semiconductor die to the outside of its package.

Q = k × A × ΔT / L

Q = heat flow (W) · k = thermal conductivity (W/m·K) · A = cross-section area (m²) · L = length (m)

Heat Flow (Q)
Thermal Resistance
Heat Flux (q")

FPGA Package Thermal Path — Click Each Layer

Click a layer above to see its thermal properties.

Convection transfers heat between a solid surface and a moving fluid — it is the primary mechanism removing heat from a heatsink to the surrounding air.

Q = h × A × (Tsurface - Tfluid)
Natural Convection
h = 5-25 W/m²·K — buoyancy-driven
Forced Convection
h = 25-250 W/m²·K — fan-driven, 5-10× better
Air Velocity2.0 m/s
Estimated h
Heat Dissipated (Q)
Thermal Resistance
Flow Regime

Every object above absolute zero emits thermal radiation. Unlike conduction and convection, radiation needs no physical medium — it works even in vacuum.

Q = ε × σ × A × (Ts4 - Tsur4)

σ = 5.67 × 10-8 W/m²·K⁴ · ε = surface emissivity (0 to 1)

Radiated Power
Radiation Resistance
% of Typical Convection
Property Conduction Convection Radiation
Requires medium? Yes (solid) Yes (fluid) No
Driving force Temperature gradient Temperature + flow Temperature (T⁴)
Typical role Die→Package→Heatsink Heatsink→Air Surface→Enclosure
Key parameter k (W/m·K) h (W/m²·K) ε (0-1)
Contribution, forced air ~30-40% ~55-65% ~5-10%
Contribution, natural conv. ~25-30% ~45-55% ~15-25%

Adjust power, airflow, material, heatsink area, and ambient temperature to see conduction, convection, and radiation working together in a simplified thermal model.

Power25 W
Airflow2.0 m/s
Heatsink Area200 cm²
Ambient Temp35 °C
Convection Heat Flow
Radiation Heat Flow
Heatsink Surface Temp
Estimated TJ
Overall RθSA
Problem: A 20 W FPGA dissipates heat at 40°C ambient. Heat conducts from the die through the package and TIM into the heatsink (conduction), then leaves the heatsink fins via convection (55-75%) and radiation (10-25%, depending on surface finish) to the surroundings. Adding just 1-2 m/s of airflow raises h from ~8 to ~25+ W/m²·K — a 3× improvement that can shrink the heatsink 50-70% or cut temperature 20-40°C. Black anodization raises emissivity from 0.05 to 0.85 (~17× more radiated power), adding 15-25% to natural-convection cooling but only 5-10% once forced convection already dominates.
KNOWLEDGE CHECK

Module 2 Quiz

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