Table 4 Comparison of numerical study regarding \(- \theta \left( 0 \right)\) with published work48 when \(Ec = 0, H_{t} = 0, m = 0, \varphi_{1} = 0 \varphi_{2} = 0 \varphi_{3} = 0.\)

From: A study of triple-mass diffusion species and energy transfer in Carreau–Yasuda material influenced by activation energy and heat source

\(Pr\)

Nawaz and Awais48

Present study

0.72

0.74454088

1.74401906

1.0

0.91192959

0.91197393

3.0

1.81548127

1.81568259