Table 6.

Evaluation of the heat transfer rate for selected values of $Pr=21,A=0.9,$ using the % formula $\%\text{Increase}=\frac{\text{With}\text{Nanoparticle}}{\text{Without}\text{Nanoparticle}}\times 100=\text{Result,}\text{Result}-100=\%\text{enhancment}$.

$M$	$\mathit{Nt}$	${\varphi }_1={\varphi }_2$	$\begin{array}{cc}& {\theta }^{\prime }(0)\hfill \\ \hfill & {\text{TiO}}_2+\text{Ag}\hfill \\ \hfill \end{array}$	$\begin{array}{cc}& {\theta }^{\prime }(0)\hfill \\ \hfill & {\text{TiO}}_2\hfill \\ \hfill \end{array}$
1	0.1	0.01	0.05123	0.037077
1.5	0.1		0.05934	0.037823
2	0.1		0.06745	0.038039
2	0.2		0.06956	0.038564
2	0.3		0.07376	0.038917
2	0.4		0.07959	0.039021
2	0.4		0.09502	0.039346
		0.0	0.0424654	0.0492
		0.01	0.0449406 (5.8% Increase)	0.0504676 (2.576% Increase)
		0.02	0.0475391 (11.947% Increase)	0.0517571 (5.197% Increase)