Table 5 Variation results for \({\beta }_{c}\) by fixing \(M=0,Re=4, Pr=6.2, {\Gamma }_{d}=3, Ec=0.1, {\phi }_{p1}={\phi }_{p2}=0.01, {N}_{b}={N}_{t}=0.1.\)

Hybrid nanofluids \(({\text{MWCONTs}}-{{\text{Al}}}_{2}{{\text{O}}}_{3})/{\text{blood}}\)

\({\beta }_{c}\)

Stretching case

Shrinking case

\(|F^{{\prime}{\prime}}(-3)|\)  

\(|F^{{\prime}{\prime}}(3)|\)  

\(|\theta ^{\prime}(-3)|\)  

\(|\theta ^{\prime}(3)|\)  

\(|F^{{\prime}{\prime}}(-3)|\)  

\(|F^{{\prime}{\prime}}(3)|\)  

\(|\theta ^{\prime}(-3)|\)  

\(|\theta ^{\prime}(3)|\)