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

Table 2.

The values of ${Re}^{- 1 / 2} N u$ and corresponding enhanced heat transfer rate ENu for the variations in the nanoparticle volume fraction and particle shape are presented below at $ξ = 1.0$

	${Re}^{- 1 / 2} N u$					Enu
$\begin{array}{c} S W C N T (ϕ_{1}) \end{array}$ \shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	1.32799	1.32799	1.32799	1.32799	1.32799	–	–	–	–	–
0.01	1.32787	1.33525	1.34616	1.35490	1.38169	−0.09	0.55	1.37	2.03	4.04
0.02	1.32795	1.34105	1.36404	1.37862	1.43202	−0.03	0.98	2.71	3.81	7.83
0.03	1.32846	1.34714	1.37991	1.40138	1.47963	0.04	1.44	3.91	5.53	11.42
0.04	1.32786	1.35208	1.39446	1.42320	1.52404	−0.09	1.81	5.01	7.17	14.76
0.05	1.32513	1.35659	1.40907	1.44357	1.56598	−0.22	2.15	6.11	8.70	17.92
$\begin{array}{l} M W C N T (ϕ_{2}) \end{array}$
0.01	1.32660	1.33264	1.34426	1.35206	1.37917	−0.10	0.35	1.23	1.81	3.85
0.02	1.32437	1.33767	1.36005	1.37466	1.42746	−0.27	0.73	2.41	3.51	7.49
0.03	1.32261	1.34142	1.37382	1.39550	1.47248	−0.41	1.01	3.45	5.08	10.88
0.04	1.32026	1.34486	1.38739	1.41515	1.51474	−0.58	1.27	4.47	6.56	14.06
0.05	1.31733	1.34789	1.39927	1.43358	1.55428	−0.80	1.50	5.37	7.95	17.04
$S i O_{2} (ϕ_{3})$
0.01	1.32297	1.32532	1.32887	1.33052	1.33933	−0.38	−0.20	0.07	0.19	0.85
0.02	1.31811	1.32201	1.32951	1.33327	1.34988	−0.74	−0.45	0.11	0.40	1.65
0.03	1.31319	1.31893	1.32910	1.33595	1.36108	−1.11	−0.68	0.08	0.60	2.49
0.04	1.30814	1.31598	1.32930	1.33831	1.37070	−1.49	−0.90	0.10	0.78	3.22
0.05	1.30283	1.31273	1.32927	1.34018	1.38023	−1.89	−1.15	0.10	0.92	3.93
$T i O_{2} (ϕ_{4})$
0.01	1.33545	1.34100	1.35050	1.35684	1.37901	0.56	0.98	1.70	2.17	3.84
0.02	1.34349	1.35383	1.37203	1.38437	1.42889	1.17	1.95	3.32	4.25	7.60
0.03	1.34971	1.36519	1.39296	1.41140	1.47700	1.64	2.80	4.89	6.28	11.22
0.04	1.35539	1.37657	1.41187	1.43702	1.52237	2.06	3.66	6.32	8.21	14.64
0.05	1.36084	1.38751	1.43156	1.46158	1.56593	2.47	4.48	7.80	10.06	17.91

	${Re}^{- 1 / 2} N u$					Enu
$\begin{array}{c} S W C N T (ϕ_{1}) \end{array}$ \shape	Sphere	Brick	Cylinder	Platelets	Blade	Sphere	Brick	Cylinder	Platelets	Blade
0.00	1.32799	1.32799	1.32799	1.32799	1.32799	–	–	–	–	–
0.01	1.32787	1.33525	1.34616	1.35490	1.38169	−0.09	0.55	1.37	2.03	4.04
0.02	1.32795	1.34105	1.36404	1.37862	1.43202	−0.03	0.98	2.71	3.81	7.83
0.03	1.32846	1.34714	1.37991	1.40138	1.47963	0.04	1.44	3.91	5.53	11.42
0.04	1.32786	1.35208	1.39446	1.42320	1.52404	−0.09	1.81	5.01	7.17	14.76
0.05	1.32513	1.35659	1.40907	1.44357	1.56598	−0.22	2.15	6.11	8.70	17.92
$\begin{array}{l} M W C N T (ϕ_{2}) \end{array}$
0.01	1.32660	1.33264	1.34426	1.35206	1.37917	−0.10	0.35	1.23	1.81	3.85
0.02	1.32437	1.33767	1.36005	1.37466	1.42746	−0.27	0.73	2.41	3.51	7.49
0.03	1.32261	1.34142	1.37382	1.39550	1.47248	−0.41	1.01	3.45	5.08	10.88
0.04	1.32026	1.34486	1.38739	1.41515	1.51474	−0.58	1.27	4.47	6.56	14.06
0.05	1.31733	1.34789	1.39927	1.43358	1.55428	−0.80	1.50	5.37	7.95	17.04
$S i O_{2} (ϕ_{3})$
0.01	1.32297	1.32532	1.32887	1.33052	1.33933	−0.38	−0.20	0.07	0.19	0.85
0.02	1.31811	1.32201	1.32951	1.33327	1.34988	−0.74	−0.45	0.11	0.40	1.65
0.03	1.31319	1.31893	1.32910	1.33595	1.36108	−1.11	−0.68	0.08	0.60	2.49
0.04	1.30814	1.31598	1.32930	1.33831	1.37070	−1.49	−0.90	0.10	0.78	3.22
0.05	1.30283	1.31273	1.32927	1.34018	1.38023	−1.89	−1.15	0.10	0.92	3.93
$T i O_{2} (ϕ_{4})$
0.01	1.33545	1.34100	1.35050	1.35684	1.37901	0.56	0.98	1.70	2.17	3.84
0.02	1.34349	1.35383	1.37203	1.38437	1.42889	1.17	1.95	3.32	4.25	7.60
0.03	1.34971	1.36519	1.39296	1.41140	1.47700	1.64	2.80	4.89	6.28	11.22
0.04	1.35539	1.37657	1.41187	1.43702	1.52237	2.06	3.66	6.32	8.21	14.64
0.05	1.36084	1.38751	1.43156	1.46158	1.56593	2.47	4.48	7.80	10.06	17.91

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