Table 5 Numerical analysis of Nusselt number, skin friction coefficients, and Sherwood number with error analysis against variation in \(W, M, H_{t}\) and \(K_{c}\).

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

 

\(- \left( {Re} \right)^{\frac{1}{2}} C_{f}\)

Error

\(- \left( {Re} \right)^{ - 1/2} Nu\)

Error

\(- \left( {Re} \right)^{ - 1/2} Sh\)

Error

\(W\left( { = 0.0} \right)\)

0.5007241803

\(5 \times 10^{ - 9}\)

0.07671888860

\(1 \times 10^{ - 9}\)

0.4497235394

\(4 \times 10^{ - 9}\)

\(W\left( { = 0.4} \right)\)

0.5006006674

\(4 \times 10^{ - 9}\)

0.07881268732

\(2 \times 10^{ - 9}\)

0.4497024213

\(4 \times 10^{ - 9}\)

\(W\left( { = 0.8} \right)\)

0.5004696036

\(5 \times 10^{ - 9}\)

0.08094075355

\(9 \times 10^{ - 9}\)

0.4498745213

\(4 \times 10^{ - 9}\)

\(M\left( { = 0.0} \right)\)

0.1429352440

\(1 \times 10^{ - 9}\)

0.1429352440

\(1 \times 10^{ - 9}\)

0.1283767519

\(1 \times 10^{ - 9}\)

\(M\left( { = 0.4} \right)\)

0.1510585728

\(1.2 \times 10^{ - 9}\)

0.37987164217

\(3 \times 10^{ - 9}\)

0.1766912266

\(1.4 \times 10^{ - 9}\)

\(M\left( { = 0.8} \right)\)

0.1704315997

\(1 \times 10^{ - 9}\)

0.57987164217

\(5 \times 10^{ - 9}\)

0.1961281131

\(1 \times 10^{ - 9}\)

\(H_{t} \left( { = - 0.0} \right)\)

0.1404308531

\(1.3 \times 10^{ - 9}\)

0.08539212196

\(1 \times 10^{ - 9}\)

0.1261274426

\(1 \times 10^{ - 9}\)

\(H_{t} \left( { = 0.5} \right)\)

0.1204302348

\(1 \times 10^{ - 9}\)

0.06780722846

\(1 \times 10^{ - 9}\)

0.1061268872

\(1.1 \times 10^{ - 9}\)

\(H_{t} \left( { = 0.8} \right)\)

0.1104292853

\(1.7 \times 10^{ - 9}\)

0.03035908385

\(1.3 \times 10^{ - 9}\)

0.0261260345

\(3 \times 10^{ - 9}\)

\(K_{c} \left( { = 1.5} \right)\)

0.1403862313

\(1 \times 10^{ - 9}\)

0.07049281878

\(7 \times 10^{ - 9}\)

0.1260873656

\(1 \times 10^{ - 9}\)

\(K_{c} \left( { = 0.0} \right)\)

0.1404825609

\(1 \times 10^{ - 9}\)

0.4067474293

\(4 \times 10^{ - 9}\)

0.1461738837

\(1.2 \times 10^{ - 9}\)

\(K_{c} \left( { = 0.0} \right)\)

0.1408623983

\(1 \times 10^{ - 9}\)

0.8197441934

\(8 \times 10^{ - 9}\)

0.1765150332

\(1 \times 10^{ - 9}\)