Transient Taylor–Dean flow in a composite annulus with porous walls partially filled with porous material

Journal of the Egyptian Mathematical Society

Table 1 Numerical values of both the steady and the transient state velocity obtained using the RSA, IFD, and the exact solution \(\left( {d = 1.5, P = 10, {\text{Da}} = 0.02, A^{*} = 1, w = 0.8} \right)\)

R	t	+ S			− S
R	t	RSA	IFD	Exact solution	RSA	IFD	Exact solution
1.2	0.08	0.4115	0.4115	0.4197	0.3700	0.3701	0.4332
	0.10	0.4151	0.4150	0.4197	0.3941	0.3940	0.4332
	0.20	0.4194	0.4193	0.4197	0.4299	0.4298	0.4332
	0.40	0.4197	0.4197	0.4197	0.4332	0.4332	0.4332
	0.60	0.4197	0.4197	0.4197	0.4332	0.4332	0.4332
1.4	0.08	0.2906	0.2906	0.3230	0.4565	0.4566	0.5927
	0.10	0.3046	0.3045	0.3230	0.5096	0.5095	0.5927
	0.20	0.3219	0.3218	0.3230	0.5859	0.5860	0.5927
	0.40	0.3230	0.3230	0.3230	0.5927	0.5927	0.5927
	0.60	0.3230	0.3230	0.3230	0.5927	0.5927	0.5927
1.6	0.08	0.5660	0.5661	0.6669	1.0275	1.0274	1.2758
	0.10	0.6093	0.6093	0.6669	1.1252	1.1252	1.2758
	0.20	0.6634	0.6633	0.6669	1.2635	1.2635	1.2758
	0.40	0.6668	0.6668	0.6669	1.2757	1.2758	1.2758
	0.60	0.6669	0.6669	0.6669	1.2758	1.2758	1.2758