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Table 2 Validation of the present result obtained using the Riemann-sum approximation approach (RSA) with Jha and Gambo [32] for skin frictions

From: Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

t λ Skin friction at \(R = 1\) Skin friction at \(R = \lambda\)
Present work RSA \(\left( {\alpha = \beta = 0.0} \right)\) Jha and Gambo [32]\(\left( {{\text{Re}} = 0.0} \right)\) Present work RSA \(\left( {\alpha = \beta = 0.0} \right)\) Jha and Gambo [32]\(\left( {{\text{Re}} = 0.0} \right)\)
0.2 1.2 0.0968 0.0968 0.0857 0.0857
  1.4 0.1871 0.1871 0.1496 0.1496
  1.6 0.2706 0.2706 0.1982 0.1982
  1.8 0.3390 0.3390 0.2292 0.2292
0.4 1.2 0.0968 0.0968 0.0858 0.0858
  1.4 0.1871 0.1871 0.1496 0.1496
  1.6 0.2714 0.2714 0.1988 0.1988
  1.8 0.3499 0.3499 0.2373 0.2373
Steady state 1.2 0.0967 0.0967 0.0856 0.0856
  1.4 0.1870 0.1870 0.1495 0.1495
  1.6 0.2713 0.2713 0.1987 0.1987
  1.8 0.3502 0.3502 0.2376 0.2376