Table 2 Comparison of SF and NN with Ref.⁵⁶.

\(K\)	\(\beta\)	\(\Pr\)	\(Q^{*}\)	\(\delta_{1}\)	\(\delta_{2}\)	\({\text{Sc}}\)	\(0.5C_{f} {\text{Re}}_{x}^{{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}}}\)		\({\text{Re}}_{x}^{{ - {1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}}} {\text{Nu}}_{x}\)
\(K\)	\(\beta\)	\(\Pr\)	\(Q^{*}\)	\(\delta_{1}\)	\(\delta_{2}\)	\({\text{Sc}}\)	Ref.⁵⁶	Present results	Ref.⁵⁶	Present results
0.2	0.1	0.1	0.1	0.1	0.1	0.1	− 2.1020	− 2.105643	0.4260	0.425475
0.4							− 3.0094	− 3.008684	0.5331	0.538864
0.6							− 4.0514	− 4.057905	0.6326	0.637532
0.1	1.1						− 1.7590	− 1.753242	0.3667	0.365416
	1.2						− 1.7840	− 1.789031	0.3663	0.366904
	1.3						− 1.8066	− 1.807863	0.3659	0.365732
		0.3					− 1.8667	− 1.866943	0.4223	0.429654
		0.4					− 1.8690	− 1.866584	0.4507	0.456895
		0.5					− 1.8711	− 1.876507	0.5091	0.503683
		0.1	0.2				− 1.7304	− 1.735822	0.3947	0.398426
			0.4				− 1.7300	− 1.730482	0.3810	0.387953
			0.6				− 1.7292	− 1.726943	0.3671	0.369754
			0.1	0.2			− 1.7288	− 1.726089	0.4059	0.408063
				0.4			− 1.7456	− 1.742018	0.4030	0.403573
				0.6			− 1.7626	− 1.761069	0.4003	0.406842
				0.1	0.2		− 1.7332	− 1.737857	–	–
					0.4		− 1.7228	− 1.725992	–	–
					0.6		− 1.7202	− 1.727042	–	–
					0.1	0.2	− 1.7422	− 1.742917	–	0.506483
						0.4	− 1.7312	− 1.730793	–	0.657432
						0.6	− 1.7316	− 1.733025	–	0.805824

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