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Thermodynamics

Thermal Diffusivity

Thermal diffusivity compares heat conduction with volumetric heat storage.

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Source & review

Difficulty

Intermediate

Read time

4 min

Prerequisites

Consistent SI units, algebra, and the physical assumptions listed below

Review statusNeeds review

Source

Teng-Jui Lin — Equation Sheets

Adapted from Teng-Jui Lin, Equation Sheets — Mechanical Engineering, under CC BY 4.0.

Adapted notation and added original explanations, variables, assumptions, applications, and a worked example. Made the mass-specific heat-capacity basis explicit.

Definition
Understanding the core concept

Thermal diffusivity compares heat conduction with volumetric heat storage. A high value means a temperature disturbance spreads quickly, even though conductivity alone does not describe how much energy the material stores.

Variables & Units
Understanding each component
SymbolMeaningUnits
Thermal diffusivity
Thermal conductivity
Density
Specific heat capacity at constant pressure
Real-World Applications
Where this formula is used in practice

Transient conduction

Estimate the time scale for temperature changes within a body.

Material comparison

Compare how rapidly thermal disturbances spread.

Worked Example
Step-by-step calculation with real numbers

Problem

A material has k = 150 W/(m·K), density 2700 kg/m³, and specific heat 900 J/(kg·K). Find α.

Given

Solution

1
2

Final Answer

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