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Table 2 Applied formulation for the nanofluid properties

From: Simulation of CuO-water nanofluid natural convection in a U-shaped enclosure with a T-shaped baffle

Nanofluid properties

Applied model

Density

\(\rho_{nf}=(1-\phi)\rho_f+\phi\rho_p\) 

Specific heat

\({\left(\rho C_p\right)}_{nf}=\left(1-\phi\right){{\left(\rho C_p\right)}_f+\phi{\left(\rho C_p\right)}_p}\) 

Thermal diffusivity

\(\alpha_{nf}=k_{nf}/{(\rho C_p)_{nf}}\) 

Thermal expansion coefficient

\({(\rho\beta)_{nf}}=(1-\phi)\rho_f+\phi\rho_p\) 

Dynamic viscosity

\(\mu_{nf}=\frac{\mu_f}{{(1-\phi)}^{2.5}}\) 

Thermal conductivity

\(k_{nf}=k_f\left[\frac{\left(k_p+2k_f\right)-2\phi\left(k_f-k_p\right)}{\left(k_p+2k_f\right)+\phi\left(k_f-k_p\right)}\right]\)