Thermal Conductivity Calculator

Calculate thermal conductivity, heat flux, temperature difference, or distance using Fourier's law of heat conduction

Calculate Thermal Properties

Select the quantity you want to find using Fourier's law: q = λ(ΔT/Δx)

Heat Flux Results

0.00
W/m²
Heat Flux

Unit Conversions

W/m²
0.000000
kW/m²
0.000000
BTU/(h·ft²)
0.000000
cal/(s·cm²)
0.000000
J/(s·m²)
0.000000

Calculation Details (Fourier's Law)

Formula: q = λ × (ΔT / Δx)
Where:
q = Heat flux (0.00 W/m²)
λ = Thermal conductivity (0.8000 W/(m·K))
ΔT = Temperature difference (0.00 K)
Δx = Distance/thickness (0.0000 m)
q = 0.8000 × (0.00 / 0.0000) = 0.00 W/m²

Physics Analysis

Example Calculation

Brick Wall Heat Transfer

Problem: Heat flux through 35 cm brick wall

Given:

• Thermal conductivity (λ) = 0.8 W/(m·K)

• Temperature difference (ΔT) = 20 K

• Wall thickness (Δx) = 0.35 m

Solution

q = λ × (ΔT / Δx)

q = 0.8 × (20 / 0.35)

q = 45.71 W/m²

Heat flux through the wall

Fourier's Law

q = λ × (ΔT/Δx)
Heat Conduction Equation
q = Heat flux (W/m²)
λ = Thermal conductivity (W/(m·K))
ΔT = Temperature difference (K)
Δx = Distance/thickness (m)

Thermal Conductivity Values

Silver429
Copper401
Aluminum237
Steel50
Glass1.05
Wood0.17
Air0.024
All values in W/(m·K)

Heat Transfer Tips

Higher conductivity = better heat conductor

Metals have highest thermal conductivity

Insulators have low conductivity values

Heat flows from hot to cold regions

Thicker materials reduce heat flux

Understanding Thermal Conductivity

What is Thermal Conductivity?

Thermal conductivity (λ) is a material property that measures how well a material conducts heat. It represents the amount of heat that flows through a unit area of material per unit time when there's a unit temperature gradient across the material.

Fourier's Law of Heat Conduction

  • Heat flux is proportional to temperature gradient
  • Direction of heat flow is opposite to temperature gradient
  • Higher conductivity means faster heat transfer
  • Heat transfer rate depends on area and thickness

Material Categories

Excellent Conductors

Metals like silver (429), copper (401), and aluminum (237) W/(m·K). Used in heat sinks and thermal management.

Moderate Conductors

Materials like concrete (1.7) and glass (1.05) W/(m·K). Common building materials with moderate thermal properties.

Thermal Insulators

Wood (0.17), foam (0.025), and air (0.024) W/(m·K). Used for thermal insulation and energy efficiency.

Note: Thermal conductivity can vary with temperature, pressure, and material composition. Values shown are typical at room temperature.

Engineering Applications

Heat Exchangers

q = UA(ΔT)

Heat transfer rate design

Building Insulation

R = Δx/λ

Thermal resistance calculation

Electronics Cooling

θ = q·R

Junction temperature rise

Real-World Applications

Building Design

Calculate heat loss through walls, windows, and roofs. Design thermal insulation systems for energy efficiency and comfort.

Electronics Thermal Management

Design heat sinks, thermal interface materials, and cooling systems for electronic components and processors.

Industrial Processes

Optimize heat exchangers, thermal processing equipment, and energy recovery systems in manufacturing.