THERMODYNAMICSThermodynamicsPhysics Calculator
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Thermal Diffusivity

α = k/(ρc_p) measures how fast heat spreads. Fourier number Fo = αt/L². Penetration depth δ = √(4αt). Higher α = faster thermal response.

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α = k/(ρc_p) combines k, ρ, c_p Fo = αt/L² dimensionless δ = √(4αt) penetration depth Higher α = faster heat spread

Key quantities
α = k/(ρc_p)
Thermal Diffusivity
Key relation
Fo = αt/L²
Fourier Number
Key relation
δ = √(4αt)
Penetration
Key relation
τ = L²/α
Time Constant
Key relation

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Why: Thermal diffusivity determines heat treatment times, food freezing rates, and concrete curing.

How: α = k/(ρc_p). Fourier number Fo = αt/L². Penetration depth δ = √(4αt) for semi-infinite solid.

α = k/(ρc_p) combines k, ρ, c_pFo = αt/L² dimensionless

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Calculate Thermal DiffusivityHeat penetration rate

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Analyze thermal diffusivity for food freezing process

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Determine thermal diffusivity for concrete curing analysis

💻 Semiconductor Processing

Calculate thermal diffusivity for silicon wafer processing

🌍 Geothermal Analysis

Analyze thermal diffusivity for geothermal heat transfer

Thermal Diffusivity Inputs

Selecting a material will auto-fill thermal properties
Thermal conductivity must be a positive number

For educational and informational purposes only. Verify with a qualified professional.

🔬 Physics Facts

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α = k/(ρc_p) rate of heat penetration

— Heat Transfer

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Fourier number Fo = αt/L²

— Dimensionless Analysis

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Penetration depth δ = √(4αt)

— Transient Heat Transfer

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τ = L²/α thermal time constant

— Heat Transfer

What is Thermal Diffusivity?

Thermal diffusivity (α = k/(ρcp)) measures how quickly heat spreads through a material. Higher α means faster heat penetration.

How To Use

  1. Select mode: find α, Fourier number, penetration depth, or time constant
  2. Enter material properties or select from database
  3. Click Calculate for results

⚠️ Disclaimer: Thermal diffusivity varies with temperature. Use manufacturer data for design.

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