Table 1 Correlations for characteristic features of hybrid nano-liquid are Ali et. al³⁴.

Density \(\:\rho\:\)

\(\:{\rho\:}_{hnf}=\left(1-{\varphi\:}_{2}\right)\left[\left(1-{\varphi\:}_{1}\right){\rho\:}_{f}+{\varphi\:}_{1}{\rho\:}_{s1}\right]+{\varphi\:}_{2}{\rho\:}_{s2}\)

Dynamic viscosity\(\:\:\mu\:\)

\(\:{\mu\:}_{hnf}=\frac{{\mu\:}_{f}}{{(1-{\varphi\:}_{1})}^{2.5}{(1-{\varphi\:}_{2})}^{2.5}}\)

Thermal conductivity \(\:k\)

\(\:\begin{array}{ccc}\frac{{k}_{hnf}}{{k}_{nf}}&\:=&\:\frac{{k}_{{s}_{2}}+2{k}_{nf}-2{\varphi\:}_{2}\left({k}_{nf}-{k}_{{s}_{2}}\right)}{{k}_{{s}_{2}}+2{k}_{nf}+2{\varphi\:}_{2}\left({k}_{nf}-{k}_{{s}_{2}}\right)}\end{array}\:\:\)\(\:\begin{array}{ccc}\frac{{k}_{nf}}{{k}_{f}}&\:=&\:\frac{{k}_{{s}_{1}}+2{k}_{f}-2{\varphi\:}_{1}\left({k}_{f}-{k}_{{s}_{1}}\right)}{{k}_{{s}_{1}}+2{k}_{f}+2{\varphi\:}_{1}\left({k}_{f}-{k}_{{s}_{1}}\right)}\end{array}\)