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Effective Thermal Conductivity Formula and Calculator

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Effective Thermal Conductivity of Composite Solids Formula and Calculator 

Eq. 1

k_eff / k_o = [1 - ( 3 ø ) / ( ( k₁ + 2 k_o ) / ( k₁ - k_o - ø ) ]

Eq. 2

k_eff = k_o [ 1- ( 3 ø ) / ( ( k₁ + 2 k_o ) / ( k₁ - k_o - ø ) ]

Where:

k_o  = Thermal Conductivity of Continuous Phase (W/m K)
k₁ = Thermal Conductivity of Embedded Phase (W/m K)
ø = Porosity (fraction)
k_eff = Effective Thermal Conductivity (W/m K)

Source:

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 9, Page: 281.

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