1 Introduction
2 Formulation and governing equations
2.1 Constitutive equation
3 Semi-analytical solution for the gPTT model in annuli
4 Results and discussion
4.1 Assessment of the series solution
j | \(\alpha = 0.5\) | \(\alpha = 1.5\) |
---|---|---|
1 | \(5.669\times 10^{-1}\) | \(9.405\times 10^{-2}\) |
2 | \(1.342\times 10^{-2}\) | \(4.757\times 10^{-4}\) |
4 | \(4.550\times 10^{-4}\) | \(4.432\times 10^{-4}\) |
j | \(\alpha = 0.5\) |
---|---|
2 | \(1.782\times 10^{2}\) |
4 | \(1.580\times 10^{2}\) |
8 | \(5.874\times 10^{1}\) |
16 | \(8.681\times 10^{-1}\) |
j | \(\alpha = 1.5\) |
---|---|
1 | \(1.414\times 10^{2}\) |
2 | \(4.773\times 10^{1}\) |
4 | \(1.409\times 10^{0}\) |
8 | \(4.275\times 10^{-4}\) |