Table 5 Comparing of \(- \theta^{\prime}\left( 0 \right)\) values with \( P_{\varsigma }\), when \(\phi = 0\), \(\phi_{hnf} = 0\), \(\varepsilon_{\varsigma } = 0\), \({\Lambda }_{\varsigma } = 0\), \(E_{\varsigma } = 0\) \(N_{\varsigma } = 0\), \(S = 0\) and \(H_{\varsigma } \to \infty\).

From: The improved thermal efficiency of Prandtl–Eyring hybrid nanofluid via classical Keller box technique

\(Pr\)

Ref.78

Ref.79

Present

72 × 10−2

080863135 × 10−8

080876122 × 10−8

080876181 × 10−8

1 × 100

1 × 100

1 × 100

1 × 100

3 × 100

192,368,259 × 10−8

192,357,431 × 10−8

192,357,420 × 10−8

7 × 100

307,225,021 × 10−8

307,314,679 × 10−8

307,314,651 × 10−8

10 × 100

372,067,390 × 10−8

372,055,436 × 10−8

372,055,429 × 10−8