Table 3 Validation results of temperature gradient and skin friction coefficients using finite element schema and homotropy analysis with published study51.

From: Investigation of composed charged particles with suspension of ternary hybrid nanoparticles in 3D-power law model computed by Galerkin algorithm

\(n\)

Homotropy analysis approach51

Finite element approach

\({{\left(Re\right)}^{\frac{1}{n+1}}C}_{g}\)

\({{\left(Re\right)}^{\frac{1}{n+1}}C}_{f}\)

\(Nu{\left(Re\right)}^{\frac{-1}{n+1}}\)

\({{\left(Re\right)}^{\frac{1}{n+1}}C}_{g}\)

\({{\left(Re\right)}^{\frac{1}{n+1}}C}_{f}\)

\(Nu{\left(Re\right)}^{\frac{-1}{n+1}}\)

1.0

2.69435000

2.19048887

3.40917100

2.690914904

2.190930414

3.4099398874

2.0

2.69506080

2.26914900

3.40830920

2.692049447

2.268473014

3.4080906490

3.0

2.71301081

2.36832100

3.74498558

2.717950993

2.737043018

3.7445043704