Table 9. The values of Re 1 / 2 C f and...

Table 9.

The values of ${Re}^{1 / 2} C f$ and corresponding skin friction (ECf) for the variations in the nanoparticle volume fraction and particle shape are presented below at $ξ = 1.0$

	${Re}^{1 / 2} C f$					ECf (in %)
$S W C N T (ϕ_{1})$ \shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	8.01377	8.01377	8.01377	8.01377	8.01377	–	–	–	–	–
0.01	8.18280	8.18515	8.19356	8.19646	8.21293	2.11	2.14	2.24	2.28	2.49
0.02	8.35404	8.36210	8.37534	8.38365	8.41467	4.25	4.35	4.51	4.61	5.00
0.03	8.52842	8.54059	8.56113	8.57447	8.61826	6.42	6.57	6.83	7.00	7.54
0.04	8.70754	8.72426	8.75143	8.76757	8.82552	8.66	8.87	9.20	9.41	10.13
0.05	8.89384	8.91192	8.94412	8.96513	9.03604	10.98	11.21	11.61	11.87	12.76
$M W C N T (ϕ_{2})$
0.01	8.15360	8.15917	8.16568	8.16913	8.18543	1.74	1.81	1.90	1.94	2.14
0.02	8.29774	8.30540	8.31833	8.32730	8.35835	3.54	3.64	3.80	3.91	4.30
0.03	8.44430	8.45646	8.47645	8.48880	8.53367	5.37	5.52	5.77	5.93	6.49
0.04	8.59493	8.61154	8.63693	8.65358	8.71129	7.25	7.46	7.78	7.98	8.70
0.05	8.75001	8.76942	8.80227	8.82217	8.89162	9.19	9.43	9.84	10.09	10.95
$S i O_{2} (ϕ_{3})$
0.01	8.17402	8.17435	8.17650	8.17908	8.18332	1.99	2.00	2.03	2.06	2.12
0.02	8.33773	8.34070	8.34467	8.34804	8.35807	4.04	4.08	4.13	4.17	4.30
0.03	8.50562	8.51012	8.51658	8.52071	8.53487	6.14	6.19	6.27	6.33	6.50
0.04	8.67810	8.68322	8.69196	8.69763	8.71737	8.29	8.35	8.46	8.53	8.78
0.05	8.85575	8.86172	8.87268	8.88004	8.90473	10.51	10.58	10.72	10.81	11.12
$T i O_{2} (ϕ_{4})$
0.01	8.22771	8.23106	8.23672	8.24044	8.25524	2.67	2.71	2.78	2.83	3.01
0.02	8.44468	8.45169	8.46387	8.47194	8.49836	5.38	5.46	5.62	5.72	6.05
0.03	8.66722	8.67851	8.69515	8.70618	8.74526	8.15	8.29	8.50	8.64	9.13
0.04	8.89408	8.90802	8.93230	8.94591	8.99805	10.98	11.16	11.46	11.63	12.28
0.05	9.12635	9.14282	9.17334	9.19082	9.25459	13.88	14.09	14.47	14.69	15.48

	${Re}^{1 / 2} C f$					ECf (in %)
$S W C N T (ϕ_{1})$ \shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	8.01377	8.01377	8.01377	8.01377	8.01377	–	–	–	–	–
0.01	8.18280	8.18515	8.19356	8.19646	8.21293	2.11	2.14	2.24	2.28	2.49
0.02	8.35404	8.36210	8.37534	8.38365	8.41467	4.25	4.35	4.51	4.61	5.00
0.03	8.52842	8.54059	8.56113	8.57447	8.61826	6.42	6.57	6.83	7.00	7.54
0.04	8.70754	8.72426	8.75143	8.76757	8.82552	8.66	8.87	9.20	9.41	10.13
0.05	8.89384	8.91192	8.94412	8.96513	9.03604	10.98	11.21	11.61	11.87	12.76
$M W C N T (ϕ_{2})$
0.01	8.15360	8.15917	8.16568	8.16913	8.18543	1.74	1.81	1.90	1.94	2.14
0.02	8.29774	8.30540	8.31833	8.32730	8.35835	3.54	3.64	3.80	3.91	4.30
0.03	8.44430	8.45646	8.47645	8.48880	8.53367	5.37	5.52	5.77	5.93	6.49
0.04	8.59493	8.61154	8.63693	8.65358	8.71129	7.25	7.46	7.78	7.98	8.70
0.05	8.75001	8.76942	8.80227	8.82217	8.89162	9.19	9.43	9.84	10.09	10.95
$S i O_{2} (ϕ_{3})$
0.01	8.17402	8.17435	8.17650	8.17908	8.18332	1.99	2.00	2.03	2.06	2.12
0.02	8.33773	8.34070	8.34467	8.34804	8.35807	4.04	4.08	4.13	4.17	4.30
0.03	8.50562	8.51012	8.51658	8.52071	8.53487	6.14	6.19	6.27	6.33	6.50
0.04	8.67810	8.68322	8.69196	8.69763	8.71737	8.29	8.35	8.46	8.53	8.78
0.05	8.85575	8.86172	8.87268	8.88004	8.90473	10.51	10.58	10.72	10.81	11.12
$T i O_{2} (ϕ_{4})$
0.01	8.22771	8.23106	8.23672	8.24044	8.25524	2.67	2.71	2.78	2.83	3.01
0.02	8.44468	8.45169	8.46387	8.47194	8.49836	5.38	5.46	5.62	5.72	6.05
0.03	8.66722	8.67851	8.69515	8.70618	8.74526	8.15	8.29	8.50	8.64	9.13
0.04	8.89408	8.90802	8.93230	8.94591	8.99805	10.98	11.16	11.46	11.63	12.28
0.05	9.12635	9.14282	9.17334	9.19082	9.25459	13.88	14.09	14.47	14.69	15.48

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