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Table 1 Validation of the present result obtained using the Riemann-sum approximation approach (RSA) with Jha and Gambo [32] for Dean velocity

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

Velocity profile

 t

R

Present work \(\left( {\alpha = \beta = 0.0} \right)\)

Jha and Gambo [32]\(\left( {{\text{Re}} = 0.0} \right)\)

0.2

1.2

0.0530

0.0530

 

1.4

0.0707

0.0707

 

1.6

0.0645

0.0645

 

1.8

0.0402

0.0402

0.4

1.2

0.0591

0.0591

 

1.4

0.0800

0.0800

 

1.6

0.0733

0.0733

 

1.8

0.0453

0.0453

Steady state

1.2

0.0600

0.0600

 

1.4

0.0813

0.0813

 

1.6

0.0745

0.0745

 

1.8

0.0460

0.0460