Effective thermal conductivity of composite solids
Input(s)
\(k_{o}\): Thermal Conductivity of Continuous Phase (W/m K)
\(k_{1}\): Thermal Conductivity of Embedded Phase (W/m K)
\(\emptyset\): Porosity (fraction)
Output(s)
\(k_{\text {eff: }} \quad\) Effective Thermal Conductivity \((\mathrm{W} / \mathrm{m} \mathrm{K})\)
Formula(s)
\[
\frac{\mathrm{k}_{\mathrm{eff}}}{\mathrm{k}_{\mathrm{o}}}=1+\left(\frac{3 * \varnothing}{\left(\frac{\mathrm{k}_{1}+2 * \mathrm{k}_{\mathrm{o}}}{\mathrm{k}_{1}-\mathrm{k}_{\mathrm{o}}}\right)-\varnothing}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 9, Page: 281.