## 7 Results and Discussion
### The Influence of Velocity Slip Parameter (\(\mathbf{\Lambda}\))  
The velocity slip parameter describes the difference in movement between the transporting air and the discharged particles. The velocity slip condition is determined along the walls. As shown in Figure 14, the velocity slip parameter prompts the flow rate to accelerate. This phenomenon arises because the slip enhances the frictional resistance between the current and the shallow entropy. The velocity of the MWCNT-CMC nanofluid is higher than that of the SWCNT-CMC NF because the NF contains metal particles (MWCNT) with a strong link that is difficult to disrupt. Due to the lower velocity, the heat of the movement expands as the velocity slip increases, as shown in Figure 15, occurring as a natural result of less heat being transmitted from one spot to another. Although MWCNT-CMC NF moves faster than SWCNT-CMC, the heat profile for SWCNT-CMC is lower than that of MWCNT-CMC because SWCNT nanoparticles are better heat conductors than MWCNT nanoparticles. The heat is transferred faster through SWCNT nanoparticles from the surface to the flow, passing toward the far field. The system entropy reduces as the velocity slip proliferates, as shown in Figure 16, because MWCNT and SWCNT nanoparticles have more significant positive enthalpies, allowing for the bonding dynamism and operational atoms that protect against increased entropy. Furthermore, the physical molecules of MWCNT nanoparticles have less entropy than SWCNT nanoparticles in the system, indicating that MWCNT nanoparticles have stronger bonding for energy and atoms, making it difficult to increase the entropy. Figure 12: Temperature variation versus \(\mathbf{\phi}\). Figure 13: Entropy variation versus \(\mathbf{\phi}\). Figure 16: Entropy variation versus \(\Lambda\). Figure 14: Velocity variation versus \(\Lambda\). Figure 15: Temperature variation versus \(\Lambda\). Effect of Biot Number (\(\mathbf{B_{\xi}}\)), Variable Thermal Conductivity (\(\mathbf{\epsilon}\)), and Radiation Parameter (\(\mathbf{N_{r}}\))  
The Biot Number denotes the ratio of heat conduction resistance to heat convection resistance in a solid mass. The resistance between the body and its surroundings illustrates how temperature fluctuates from the mass core to the atmosphere. The effect of the Biot number on the flow temperature shown in Figure 17, with the chart indicating that the temperature increases with increased Biot number. This striking pattern demonstrates that the thermal resistances inside the flow are amplified, magnifying the flow temperature. The temperature profile of MWCNT-CMC is higher than that of SWCNT-CMC due to the superior heat performance of SWCNT. The ability of a substance to carry heat is measured by its thermal conductivity. Low-thermal-conductivity materials have a lower rate of HT than high-thermal-conductivity materials. Figure 18 demonstrates the effectiveness of the variable thermal conductivity parameter with respect to the temperature profile. The higher the thermal conductivity, the higher the temperature of both nanofluids, which explains the reduced rate of heat transmission of both nanofluids. Howbeit, the temperature of SWCNT-CMC is still higher than that of MWCNT-CMC because SWCNT is a better heat conductor than MWCNT. Figure 19 illustrates the radiation response caused by the heat exchange between the flow and its surroundings (far-field). The illustration shows that the ambient temperature influences the amplified flow temperature. This phenomenon is caused by the environment and the flow attempting to reach an equilibrium state. The ambient temperature is more sophisticated than the temperature of the flow. As a result, the flow temperature increases, as shown in Figure 19. SWCNT-CMC is therefore proven to be a better heat conductor than MWCNT-CMC, as SWCNT-CMC has a lower temperature profile, emphasizing that the energy in the system is irreversibly transformed. Figure 17: Temperature variations versus \(B_{\xi}\). due to its lower temperature profile.