## 6 Results and Discussion
It is demonstrated that \(K\) has an energetic character in accelerating the flow in the y-plane. The suitably bulky value of \(K\) corresponds to an oscillatory pattern close to the wall of the sheet for SWCNTs and MWCNTs. The core reason is that the sheet is extended only along the x-plane, and due to rotation the liquid flow is solely possible in the y-direction. It can be observed that a high value of \(K\) reduces the magnitude of \(g(\eta)\). Figure 10 shows that the features of the magnetic parameter \(M\) on \(g(\eta)\) are qualitatively equivalent to those of \(K\). Generally, the large value of \(M\) improves the resistance to the motion of liquid, which deprecates the value of \(g(\eta)\). In Figure 11 it can be seen that the increment in \(Pr\) generates a fall in temperature \(\Theta(\eta)\) due to the weaker thermal diffusivity. Physically, thermal layer thickness and \(\Theta(\eta)\) form the reducing function of \(Pr\). For the high \(Pr\), the fluid retains low thermal conductivities, which causes the thinner thermal boundary layer. Consequently, the heat rate is increased. The fluids which have a small \(Pr\) possess excellent thermal conductivity. Figure 12 presents the impact of radiation parameter \(Rd\) on \(\Theta(\eta)\) for SWCNTs and MWCNTs as nanoparticles. It seems that the increase in \(Rd\) boosts \(\Theta(\eta)\), which is associated to the thickness of the boundary film. Basically, high \(Rd\) delivers more heat to functional nanofluids, which indicates an increment in \(\Theta(\eta)\) in the presence of SWCNTs and MWCNTs. Figure 13 characterizes the temperature field \(\Theta(\eta)\) for heat generation parameter \(Q_{h}\). The value of \(\Theta(\eta)\) and the thermal thickness of boundary layer are improved for a large value of \(Q_{h}\). In this manner, the rate of heat is enhanced as the \(Q_{h}\) value is increased. Consequently, we note that the thermal thickness of boundary film is a function of \(Q_{h}\). Figure 4: Effect of the rotation parameter \(K\) on \(f^{\prime}(\eta)\). Figure 5: Effect of the magnetic parameter \(M\) on \(f^{\prime}(\eta)\). Figure 6: Effect of the volume fraction of the nanoparticle parameter \(\varphi\) on \(f^{\prime}(\eta)\). Figure 8: Effect of the volume fraction parameter \(\varphi\) on the velocity field \(g(\eta)\). Figure 7: Effect of the Casson parameter \(\beta\) on \(f^{\prime}(\eta)\). Figure 9: Effect of the rotation parameter \(K\) on the velocity field \(g(\eta)\). Figure 11: Effect of the Prandtl number \(Pr\) on the temperature field \(\Theta(\eta)\). Figure 12: Effect of the radiation parameter \(Rd\) on the temperature field \(\Theta(\eta)\). Figure 10: Effect of the magnetic parameter \(M\) on the velocity field \(g(\eta)\). Variation in \(\Theta(\eta)\) due to the Biot number \(\lambda\) is represented in the Figure 14 for both CNTs. The stronger value of \(\lambda\) leads to an enhanced temperature field \(\Theta(\eta)\) and a thickness of the thermal film that allows the thermal impact to infiltrate deeper into the dormant liquid. In fact, \(\lambda\) depends on the heat transfer coefficient \(h_{f}\), which is maximum for a massive value of \(\lambda\), illustrating an increase in temperature. Table Discussion  
Table 1 illustrates various physical properties of certain base liquids (water, kerosene oil and engine oil) and nanoparticles such as SWCNTs and MWCNTs. [PERSON] [44] calculated dissimilar values of effective thermal conductivities of CNT nanofluids for several values of the volume fraction \(\phi\) of the CNTs shown in Table 2. It can be seen in Table 2 that the thermal conductivity is improved with inspiring volume fraction \(\phi\) of CNTs. For the same values of \(\phi\), can be noted that the nanofluids with SWCNTs have higher effective thermal conductivities as compared to those with MWCNTs.