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Table 1. Comparison of the present results obtained using the Riemann-Sum Approximation approach (RSA) with those of Jha and Yahaya [22] for the transient state velocity

From: Effect of an oscillating time-dependent pressure gradient on Dean flow: transient solution

  

Velocity profile

 

t

λ

Present work RSA (ω = 0)

Jha and Yahaya [22]

exact solution

0.2

1.2

0.0530

0.0600

 

1.4

0.0707

0.0813

 

1.6

0.0645

0.0745

 

1.8

0.0402

0.0460

0.4

1.2

0.0591

0.0600

 

1.4

0.0800

0.0813

 

1.6

0.0733

0.0745

 

1.8

0.0453

0.0460

SS

1.2

0.0600

0.0600

 

1.4

0.0813

0.0813

 

1.6

0.0745

0.0745

 

1.8

0.0460

0.0460