Table 6. Re 1 / 2 C f and e skf for the...

Table 6.

${Re}^{1 / 2} C f$ and e skf for the variations of $ϕ_{1}, ϕ_{2}$ ⁠, $ϕ_{3}$ and $ϕ_{4}$ at $ξ = 1.0$

Volume fraction of nanoparticles (5%)	${Re}^{1 / 2} C f$					Eskf (in %)
$A g (ϕ_{1})$ \Shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	16.24768	16.24768	16.24768	16.24768	16.24768	–	–	–	–	–
0.01	17.19476	17.21229	17.24227	17.26165	17.33224	5.83	5.94	6.12	6.24	6.76
0.02	18.14111	18.17776	18.23997	18.28113	18.42453	11.65	11.88	12.26	12.51	13.40
0.03	19.08880	19.14622	19.24256	19.30567	19.52613	17.49	17.84	18.43	18.82	20.18
0.04	20.03831	20.11790	20.25167	20.33889	20.63786	23.33	23.82	24.64	25.18	27.02
0.05	20.99219	21.09715	21.26991	21.38174	21.76011	29.20	29.85	30.91	31.60	33.93
$A u (ϕ_{2})$	${Re}^{1 / 2} C f$					Eskf (in %)
0.01	17.85195	17.87069	17.90151	17.92190	17.99655	9.87	9.99	10.18	10.35	10.76
0.02	19.41567	19.45558	19.52442	19.56877	19.72615	19.50	19.74	20.17	20.44	21.41
0.03	20.94644	21.00996	21.12084	21.19116	21.43706	28.92	29.31	29.99	30.43	31.94
0.04	22.44866	22.54089	22.69369	22.79269	23.13633	38.16	38.73	39.67	40.28	42.40
0.05	23.93039	24.05005	24.25246	24.38201	24.82332	47.28	48.02	49.27	50.06	52.78
$C u (ϕ_{3})$	${Re}^{1 / 2} C f$					Eskf (in %)
0.01	17.04686	17.06429	17.09351	17.11285	17.18221	4.92	5.03	5.21	5.32	5.75
0.02	17.84313	17.87859	17.93857	17.97817	18.11826	9.82	10.04	10.41	10.65	11.51
0.03	18.63609	18.69108	18.78427	18.84436	19.05510	14.70	15.04	15.61	15.98	17.28
0.04	19.42803	19.50295	19.62896	19.71115	19.99227	19.57	20.81	20.81	21.32	23.05
0.05	20.21835	20.31567	20.47495	20.57790	20.93233	24.44	25.04	26.02	26.65	28.83
$T i O_{2} (ϕ_{4})$	${Re}^{1 / 2} C f$					Eskf (in %)
0.01	16.67465	16.68839	16.71158	16.72696	16.78254	2.63	2.71	2.86	2.95	3.29
0.02	17.10444	17.13203	17.17861	17.20973	17.31898	5.27	5.44	5.73	5.92	6.59
0.03	17.53866	17.58023	17.65058	17.69626	17.85742	7.95	7.95	8.63	8.92	6.76
0.04	17.97767	18.03304	18.12643	18.18701	18.39879	10.65	10.99	11.56	11.94	13.24
0.05	18.42076	18.49067	18.60755	18.68322	18.94260	13.37	13.80	14.52	14.99	16.59

Volume fraction of nanoparticles (5%)	${Re}^{1 / 2} C f$					Eskf (in %)
$A g (ϕ_{1})$ \Shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	16.24768	16.24768	16.24768	16.24768	16.24768	–	–	–	–	–
0.01	17.19476	17.21229	17.24227	17.26165	17.33224	5.83	5.94	6.12	6.24	6.76
0.02	18.14111	18.17776	18.23997	18.28113	18.42453	11.65	11.88	12.26	12.51	13.40
0.03	19.08880	19.14622	19.24256	19.30567	19.52613	17.49	17.84	18.43	18.82	20.18
0.04	20.03831	20.11790	20.25167	20.33889	20.63786	23.33	23.82	24.64	25.18	27.02
0.05	20.99219	21.09715	21.26991	21.38174	21.76011	29.20	29.85	30.91	31.60	33.93
$A u (ϕ_{2})$	${Re}^{1 / 2} C f$					Eskf (in %)
0.01	17.85195	17.87069	17.90151	17.92190	17.99655	9.87	9.99	10.18	10.35	10.76
0.02	19.41567	19.45558	19.52442	19.56877	19.72615	19.50	19.74	20.17	20.44	21.41
0.03	20.94644	21.00996	21.12084	21.19116	21.43706	28.92	29.31	29.99	30.43	31.94
0.04	22.44866	22.54089	22.69369	22.79269	23.13633	38.16	38.73	39.67	40.28	42.40
0.05	23.93039	24.05005	24.25246	24.38201	24.82332	47.28	48.02	49.27	50.06	52.78
$C u (ϕ_{3})$	${Re}^{1 / 2} C f$					Eskf (in %)
0.01	17.04686	17.06429	17.09351	17.11285	17.18221	4.92	5.03	5.21	5.32	5.75
0.02	17.84313	17.87859	17.93857	17.97817	18.11826	9.82	10.04	10.41	10.65	11.51
0.03	18.63609	18.69108	18.78427	18.84436	19.05510	14.70	15.04	15.61	15.98	17.28
0.04	19.42803	19.50295	19.62896	19.71115	19.99227	19.57	20.81	20.81	21.32	23.05
0.05	20.21835	20.31567	20.47495	20.57790	20.93233	24.44	25.04	26.02	26.65	28.83
$T i O_{2} (ϕ_{4})$	${Re}^{1 / 2} C f$					Eskf (in %)
0.01	16.67465	16.68839	16.71158	16.72696	16.78254	2.63	2.71	2.86	2.95	3.29
0.02	17.10444	17.13203	17.17861	17.20973	17.31898	5.27	5.44	5.73	5.92	6.59
0.03	17.53866	17.58023	17.65058	17.69626	17.85742	7.95	7.95	8.63	8.92	6.76
0.04	17.97767	18.03304	18.12643	18.18701	18.39879	10.65	10.99	11.56	11.94	13.24
0.05	18.42076	18.49067	18.60755	18.68322	18.94260	13.37	13.80	14.52	14.99	16.59

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