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

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

R t + S − S
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