Table 2.

Carbon nanotube model referred as Nadeem. ³⁰

Density	${\rho }_{\mathrm{nf}}=(1-\psi ){\rho }_f+\psi {\rho }_{\mathrm{CNT}}$ ,
Heat capacity	${\left(\rho C_p\right)}_{\mathrm{nf}}=(1-\psi ){\left(\rho C_p\right)}_f+\psi {\left(\rho C_p\right)}_{\mathrm{CNT}}$ ,
Viscosity	$\frac{{\mu }_{\mathrm{nf}}}{{\mu }_f}=\frac{1}{{(1-\psi )}^{2.5}},$
Thermal conductivity	$\frac{k_{\mathrm{nf}}}{k_f}=\frac{1-\psi +2\psi \left(\frac{k_{\mathrm{CNT}}}{k_{\mathrm{CNT}}-k_f}\right)\mathrm{Log}\left(\frac{k_{\mathrm{CNT}}+k_f}{2k_f}\right)}{1-\psi +2\psi \left(\frac{k_f}{k_{\mathrm{CNT}}-k_f}\right)\mathrm{Log}\left(\frac{k_{\mathrm{CNT}}+k_f}{2k_f}\right)},$
Thermal expansion coefficient and density relation	${\left(\rho \beta \right)}_{\mathrm{nf}}=(1-\psi ){\left(\rho \beta \right)}_f+\psi {\left(\rho \beta \right)}_{\mathrm{CNT}}$ .