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Table 2 Comparison of the present results obtained using the Riemann-Sum Approximation approach (RSA) with those of Jha and Yahaya [22] for the transient state skin frictions

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

  

Skin friction at R = 1

 

Skin friction at R = λ

 

t

λ

Present work RSA (ω = 0)

Jha and Yahaya [22]

exact solution

Present work RSA (ω = 0)

Jha and Yahaya [22]

exact solution

0.2

1.2

0.0968

0.0967

0.0857

0.0856

 

1.4

0.1871

0.1870

0.1496

0.1495

 

1.6

0.2706

0.2713

0.1982

0.1987

 

1.8

0.3390

0.3502

0.2292

0.2376

0.4

1.2

0.0968

0.0967

0.0858

0.0856

 

1.4

0.1871

0.1870

0.1496

0.1495

 

1.6

0.2714

0.2713

0.1988

0.1987

 

1.8

0.3499

0.3502

0.2373

0.2376

SS

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