Table 1 The quantitative characteristics of nanomaterials:.

From: Computational insights into silver oxide nanoparticles on flow and Cattaneo-Christov heat flux through a Koo and Kleinstreuer model: A heat transfer application

Properties

Nanomaterial

Density

\(\:{\rho\:}_{nf}={\rho\:}_{f}\left(\left(1-\varphi\:\right)+\varphi\:\frac{{\rho\:}_{s}}{{\rho\:}_{f}}\right)\)

Viscosity

\(\:{\mu\:}_{nf}=\frac{{\mu\:}_{f}}{{\left(1-\varphi\:\right)}^{2.5}}\)

Heat capacity

\(\:{\left(\rho\:{c}_{p}\right)}_{nf}=\left(1-\varphi\:\right){\left(\rho\:{c}_{p}\right)}_{f}\:+\varphi\:{\left(\rho\:{c}_{p}\right)}_{s}\)

Thermal conductivity

\(\:\frac{{k}_{nf}}{{k}_{f}}=\frac{{k}_{s}+2{k}_{f}-2\varphi\:\left({k}_{f}-{k}_{s}\right)}{{k}_{s}+2{k}_{f}+2\varphi\:\left({k}_{f}-{k}_{s}\right)}\)

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