Analytical Solution of Fractional Oldroyd-B Fluid via Fluctuating Duct

Table 2

Comparison of analytical and numerical solution for velocity profile of oscillation.

					Velocity (analytical)	Velocity (Stehfest’s)	Velocity (Tzou’s)
0.3					0.19679	0.19679	0.19698
0.6					0.49046	0.49044	0.49108
0.9					0.79985	0.79982	0.8005
	0.1				0.92838	0.92846	0.92026
	1				0.90133	0.90131	0.90187
	5				0.72345	0.72345	0.72371
		0.1			2.15514	2.15642	2.15508
		0.3			1.19366	1.19364	1.19391
		0.5			0.91705	0.91709	0.91542
			0.1		0.82248	0.82249	0.81367
			0.5		0.83191	0.83194	0.82416
			0.9		0.84186	0.84194	0.83695
				0.2	0.7179	0.71795	0.71603
				0.5	0.72393	0.72382	0.72608
				0.7	0.72725	0.72696	0.73064