Table 3 The validation of results versus available studies. When \(\phi_{2} = 0,\) \(Q = 0.0,\) \(S_{1} = 0.0.\)

From: Gyrotactic microorganism hybrid nanofluid over a Riga plate subject to activation energy and heat source: numerical approach

Parameter

Akbar et al.52

Chu et al.53

Madhukesh et al.54

Present results

\(\phi_{1}\)

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

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

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

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

0.00

1.00000

1.00000

1.00000

1.00000

0.01

1.42421

1.42423

1.42421

1.41438

0.02

2.45948

2.45946

2.45948

2.44962