## 5 Numerical Results and Discussion
Moreover, the increase in magnitude of the slip parameter allows more fluid to slip past the plate, and accordingly, the flow through the boundary layer will increase. The temperature profiles in Figure 12 show the decrease in temperature and thermal boundary layer thickness with an increase in velocity slip parameter \(\delta\). Figure 13 depicts the decrease in the thickness of the thermal boundary layer with the increase in thermal slip parameter \(\Delta\). This is because the increase in the thermal slip parameter causes less transfer of heat from the sheet to the fluid, which leads to a decrease in the boundary layer temperature. Figure 11: Velocity \(f^{\prime}(\eta)\) profiles for different values of velocity slip parameter \(\delta\). Figure 12: Temperature \(\theta(\eta)\) profiles for different values of velocity slip parameter \(\delta\). Moreover, the momentum equation is dependent on \(\theta(\eta)\), but no significant effect of thermal slip parameter \(\Delta\) on the velocity profiles is noticed. The behavior of the velocity and temperature distribution for variation of suction \((S>0)\) and blowing \((S<0)\) parameter in the presence of slip conditions at the boundary are plotted in Figures 14\(-\)17. For \(S>0\), the fluid velocity increases as the fluid particles are sucked in the porous wall, which in turn reduces the thickness of the momentum boundary layer. On the other hand, for the case of blowing, i.e., \(S<0\), the opposite trend is observed. When suction \(S>0\) is increased, it refers to bringing the fluid close to the wall. This causes a decrease in the temperature profile and also decreases the thermal boundary layer. This entire phenomenon causes an increase in the rate of heat transfer. An opposite trend can be seen for the case of blowing \(S<0\). Figure 14: Velocity \(f^{\prime}(\eta)\) profiles for different values of suction parameter \(S>0\). Figure 4:0 Temperature \(\theta(\eta)\) profiles for different values of thermal slip parameter \(\Delta\). The behavior of the skin friction coefficient and Nusselt number with the variation in different thermophysical parameters is shown in Figure 4:1 It is evident that the skin friction coefficient increases with increasing values of permeability parameter \(k^{*}\), viscosity parameter \(A\), nanofluid volume concentration parameter \(\phi\) and suction parameter \(S\); whereas a decreasing trend is observed for increasing values of thermal conductivity parameter \(\epsilon\), velocity slip parameter \(\delta\) and thermal slip parameter \(\Delta\). The increasing values of the skin friction coefficient correspond to the thinning of the velocity boundary layer; whereas the decreasing values of the skin friction coefficient correspond to fluid velocity at the surface approaching the free stream velocity. The negative value of the temperature  
Figure 4:2 Velocity \(f^{\prime}(\eta)\) profiles for different values of blowing parameter \(S<0\). Figure 4:3 Temperature \(\theta(\eta)\) profiles for different values of suction parameter \(S>0\). gradient at the plate \(-\theta^{\prime}(0)\) is proportional to the rate of heat transfer at the surface of the plate. The rate of heat transfer at the surface is increasing for increasing values of permeability parameter \(k^{*}\), viscosity parameter \(A\), suction parameter \(S\) and velocity slip parameter \(\delta\). The rate of heat transfer decreases with the increase in the volume concentration parameter \(\phi\), the thermal conductivity parameter \(\epsilon\) and the thermal slip parameter \(\Delta\).