Table 7. The values of Re − 1 / 2 N u...

Table 7.

The values of ${Re}^{- 1 / 2} N u$ and Ehtr for the variations of $ϕ_{1}, ϕ_{2}$ ⁠, $ϕ_{3}$ and $ϕ_{4}$ at $ξ = 1.0$

Volume fraction of nanoparticles (5%)	${Re}^{- 1 / 2} N u$					Ehtr
$A g (ϕ_{1})$ \Shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	0.40886	0.40886	0.40886	0.40886	0.40886	–	–	–	–	–
0.01	0.41670	0.42028	0.42644	0.43054	0.44518	1.92	2.79	4.30	5.30	8.88
0.02	0.42052	0.42739	0.43915	0.44687	0.47467	2.85	4.53	7.41	9.30	16.10
0.03	0.42071	0.43056	0.44729	0.45839	0.49771	2.90	5.31	9.34	12.11	21.73
0.04	0.41774	0.43025	0.45151	0.46535	0.51457	2.17	5.23	10.43	13.82	25.85
0.05	0.41191	0.42678	0.45174	0.46808	0.52572	0.75	4.38	10.49	14.48	28.58
$A u (ϕ_{2})$	${Re}^{- 1 / 2} N u$					Ehtr
0.01	0.44082	0.44441	0.45065	0.45480	0.46961	7.82	8.69	10.22	11.24	14.86
0.02	0.46330	0.47041	0.48237	0.49031	0.51884	13.31	15.05	17.98	19.92	26.90
0.03	0.47922	0.48955	0.50681	0.51842	0.55941	17.21	19.74	23.96	26.80	36.82
0.04	0.49032	0.50354	0.52594	0.54074	0.59310	19.92	23.16	28.63	32.26	45.06
0.05	0.49748	0.51366	0.54061	0.55853	0.62116	21.67	25.63	32.22	36.61	51.92
$C u (ϕ_{3})$	${Re}^{- 1 / 2} N u$					Ehtr (in %)
0.01	0.42099	0.42461	0.43088	0.43504	0.44994	2.97	3.85	5.39	6.40	10.05
0.02	0.43096	0.43809	0.45024	0.45831	0.48712	5.40	7.15	10.12	12.09	19.14
0.03	0.43905	0.44955	0.46727	0.47903	0.52077	7.38	9.95	14.29	17.16	27.37
0.04	0.44560	0.45928	0.48240	0.49750	0.55140	8.99	12.33	17.99	21.68	34.86
0.05	0.45083	0.46741	0.49561	0.51412	0.57928	10.27	14.32	21.22	25.74	41.68
$T i O_{2} (ϕ_{4})$	${Re}^{- 1 / 2} N u$					Ehtr
0.01	0.40870	0.41171	0.41689	0.42032	0.43275	−0.04	0.7	1.96	2.80	5.84
0.02	0.40810	0.41407	0.42426	0.43093	0.45515	−0.19	1.27	3.77	5.40	11.32
0.03	0.40704	0.41584	0.43084	0.44074	0.47626	−0.45	1.71	5.38	7.80	16.48
0.04	0.40549	0.41706	0.43670	0.44969	0.49591	−0.82	2.00	6.81	9.99	21.29
0.05	0.40351	0.41776	0.44193	0.45785	0.51446	−1.31	2.18	8.09	11.98	25.83

Volume fraction of nanoparticles (5%)	${Re}^{- 1 / 2} N u$					Ehtr
$A g (ϕ_{1})$ \Shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	0.40886	0.40886	0.40886	0.40886	0.40886	–	–	–	–	–
0.01	0.41670	0.42028	0.42644	0.43054	0.44518	1.92	2.79	4.30	5.30	8.88
0.02	0.42052	0.42739	0.43915	0.44687	0.47467	2.85	4.53	7.41	9.30	16.10
0.03	0.42071	0.43056	0.44729	0.45839	0.49771	2.90	5.31	9.34	12.11	21.73
0.04	0.41774	0.43025	0.45151	0.46535	0.51457	2.17	5.23	10.43	13.82	25.85
0.05	0.41191	0.42678	0.45174	0.46808	0.52572	0.75	4.38	10.49	14.48	28.58
$A u (ϕ_{2})$	${Re}^{- 1 / 2} N u$					Ehtr
0.01	0.44082	0.44441	0.45065	0.45480	0.46961	7.82	8.69	10.22	11.24	14.86
0.02	0.46330	0.47041	0.48237	0.49031	0.51884	13.31	15.05	17.98	19.92	26.90
0.03	0.47922	0.48955	0.50681	0.51842	0.55941	17.21	19.74	23.96	26.80	36.82
0.04	0.49032	0.50354	0.52594	0.54074	0.59310	19.92	23.16	28.63	32.26	45.06
0.05	0.49748	0.51366	0.54061	0.55853	0.62116	21.67	25.63	32.22	36.61	51.92
$C u (ϕ_{3})$	${Re}^{- 1 / 2} N u$					Ehtr (in %)
0.01	0.42099	0.42461	0.43088	0.43504	0.44994	2.97	3.85	5.39	6.40	10.05
0.02	0.43096	0.43809	0.45024	0.45831	0.48712	5.40	7.15	10.12	12.09	19.14
0.03	0.43905	0.44955	0.46727	0.47903	0.52077	7.38	9.95	14.29	17.16	27.37
0.04	0.44560	0.45928	0.48240	0.49750	0.55140	8.99	12.33	17.99	21.68	34.86
0.05	0.45083	0.46741	0.49561	0.51412	0.57928	10.27	14.32	21.22	25.74	41.68
$T i O_{2} (ϕ_{4})$	${Re}^{- 1 / 2} N u$					Ehtr
0.01	0.40870	0.41171	0.41689	0.42032	0.43275	−0.04	0.7	1.96	2.80	5.84
0.02	0.40810	0.41407	0.42426	0.43093	0.45515	−0.19	1.27	3.77	5.40	11.32
0.03	0.40704	0.41584	0.43084	0.44074	0.47626	−0.45	1.71	5.38	7.80	16.48
0.04	0.40549	0.41706	0.43670	0.44969	0.49591	−0.82	2.00	6.81	9.99	21.29
0.05	0.40351	0.41776	0.44193	0.45785	0.51446	−1.31	2.18	8.09	11.98	25.83

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