Heat guide

Thermal Conductivity

Thermal conductivity describes a material’s ability to conduct heat in response to a temperature gradient.

What the property means

Thermal conductivity k connects heat flux to temperature gradient in Fourier’s law. A high value means a material can support a larger conductive heat flux for the same temperature gradient.

Understanding W/(m·K)

The unit watt per metre-kelvin reflects heat-transfer rate, distance and temperature difference. It is a material-property unit, not the same quantity as watts of heat flow or an assembly U-value.

Why metals often conduct well

In metals, free electrons can transport energy efficiently through the structure. This is one reason copper and aluminium are widely used where heat must spread or be removed.

Why conductivity is not always one fixed number

Conductivity can vary with temperature, density, composition, moisture, orientation and manufacturing state. Porous building materials can show especially strong sensitivity to moisture and density.

Conductivity, conductance and resistance

Conductivity belongs to the material. Conductance describes a particular geometry. Thermal resistance describes opposition to heat flow. A thick layer of a moderately conductive material can provide more resistance than a very thin layer of a low-conductivity material.

Conductivity and diffusivity

Thermal diffusivity includes conductivity, density and specific heat. Conductivity describes heat-flow response to a gradient, while diffusivity describes how quickly temperature disturbances spread through a material.

A worked comparison: copper and insulation

Consider equal-area layers exposed to the same temperature difference and thickness. In the simple plane-wall model, conductive heat flux is proportional to thermal conductivity. Copper near room temperature can have a conductivity around 400 W/(m·K), while common fibrous insulation may be around 0.04 W/(m·K). The conductivity ratio is roughly ten thousand to one.

That enormous difference explains why copper is useful for heat spreading while fibrous insulation is useful for slowing conductive transfer. It does not mean a copper object always transfers ten thousand times as much heat in practice, because geometry, surface convection, contact resistance and transient storage also affect the complete system.

Conductivity data needs conditions

A material name is rarely enough for precise design. Alloy composition and temper matter for metals. Moisture and density matter for insulation, masonry and wood. Fibrous and layered materials may conduct differently along different directions. Gases change with temperature and pressure.

Use a representative value for learning and preliminary estimates. For equipment sizing, product certification or safety-critical design, use data for the actual grade, product and operating range.

What conductivity does not tell you

Conductivity does not tell you how much energy a material stores per degree, how quickly an entire object reaches a new temperature, or how much heat crosses a complete assembly. Those questions require other properties and geometry.

Specific heat and density describe thermal storage. Thermal diffusivity combines transport and storage. Thermal resistance combines conductivity with dimensions. Keeping these quantities separate makes comparisons much more useful.

Temperature-dependent conductivity can change the shape of a temperature field

The common plane-wall equation assumes a constant conductivity. When conductivity varies significantly with temperature, the heat-flow relation must account for that variation, often by integrating k over the relevant range or using tabulated property data in a numerical model. The temperature profile may then deviate from the simple linear shape.

This is especially important at cryogenic or very high temperatures, in gases over wide temperature ranges and in materials that undergo structural or phase changes. A room-temperature value can still support a first estimate, but it should not be extrapolated indefinitely.

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Sources and further reading

Use the linked primary or authoritative resources for additional detail, standards and source-specific conditions.