Table 4 Values of \(f^{\prime \prime } \left( 0 \right)\) for the various values of \(\phi_{{{\text{Cu}}}}\) by keeping \(\phi_{{{\text{Al}}_{2} {\text{O}}_{3} }} = 0.1,\lambda_{1} = \delta = K = M = 0\) and \(S = 3\).

From: Thermal stable properties of solid hybrid nanoparticles for mixed convection flow with slip features

\(\phi_{{{\text{Cu}}}}\)

Yan et al.22

Present

Results

Upper branch

Lower branch

Upper branch

Lower branch

\(f^{\prime \prime } \left( 0 \right)\)

 

\(f^{\prime \prime } \left( 0 \right)\)

 

0.01

2.48626

− 1.10767

2.48626

− 1.10767

0.05

2.81888

− 1.62610

2.81888

− 1.62610

0.1

3.07486

− 2.08072

3.07486

− 2.08072