Table 1 Thermo-physical traits of \({\text{TiO}}_{2}\)/blood nanofluid11,36.

From: Mixed convection stagnation point flow of the blood based hybrid nanofluid around a rotating sphere

Viscosity

\(\mu_{nf} = {{\mu_{f} } \mathord{\left/ {\vphantom {{\mu_{f} } {\left( {1 - \phi_{1} } \right)^{2.5} }}} \right. \kern-\nulldelimiterspace} {\left( {1 - \phi_{1} } \right)^{2.5} }}\)

Density

\(\rho_{nf} = \rho_{f} \left\{ {\left( {1 - \phi_{1} } \right) \, + \phi_{1} \, {{\rho_{{S_{1} }} } \mathord{\left/ {\vphantom {{\rho_{{S_{1} }} } {\rho_{f} }}} \right. \kern-\nulldelimiterspace} {\rho_{f} }}} \right\}\)

Specific heat

\({{\left( {\rho \, c_{p} } \right)_{nf} } \mathord{\left/ {\vphantom {{\left( {\rho \, c_{p} } \right)_{nf} } {\left( {\rho \, c_{p} } \right)_{f} }}} \right. \kern-\nulldelimiterspace} {\left( {\rho \, c_{p} } \right)_{f} }} = \left[ {\left( {1 - \phi_{1} } \right) + \phi_{1} \, \left( {{{\left( {\rho \, c_{p} } \right){}_{{S_{1} }}} \mathord{\left/ {\vphantom {{\left( {\rho \, c_{p} } \right){}_{{S_{1} }}} {\left( {\rho \, c_{p} } \right)_{f} }}} \right. \kern-\nulldelimiterspace} {\left( {\rho \, c_{p} } \right)_{f} }}} \right)} \right]\)

Thermal conductivity

\({{k_{nf} } \mathord{\left/ {\vphantom {{k_{nf} } {k_{f} }}} \right. \kern-\nulldelimiterspace} {k_{f} }} \, = \left( {k_{{_{{S_{1} }} }} + 2k_{f} - 2\phi_{1} \left( {k_{f} - k_{{S_{1} }} } \right)} \right)\left( {k_{{_{{S_{1} }} }} + 2k_{f} + 2\phi_{1} \left( {k_{f} - k_{{S_{1} }} } \right)} \right)^{ - 1}\)