## 5 Discussion of Graphical Results
Figure 3: Effect of the magnetic force parameter on temperature profile. Figure 2: Effect of the body force magnetic parameter on velocity profile. Figure 5 shows the influence of the radiation parameter N as well as the upthrust force variable \(\xi\) on the temperature profile. The temperature profile escalates with increasing radiation variable \(N\) and declines with increasing upthrust force variable \(\xi\). Radiation parameter \(N\) has no effect on velocity and induced magnetic field profiles, respectively, which is understandable since it does not feature in either the hydrodynamic (momentum) or magnetic induction boundary layer equations. Radiation's main impact is to energize the regime of the boundary layer, which raises temperatures and increases the thickness of the fluid energy border layer. Again, in the free stream, smooth decays are generated to demonstrate that the simulations are accurately run in MATLAB by employing an appropriately big infinity boundary condition. The effect of temperature exponent parameter \(\lambda\) on the velocity, temperature and induced magnetic field profiles are given in Figures 6-8. Figure 6 shows that the speed profile deteriorates weakly with increasing temperature exponent parameter \(\lambda\) and increases weakly with increasing buoyancy-force parameter \(\xi\). By rising the temperature-exponent term \(\lambda\) and buoyancy-force term \(\xi\), respectively, the heat profiles are seen in Figure 7 to be strongly decreasing. The non-isothermal effect, therefore, produces lower temperature magnitudes than would be computed with an isothermal model. Again, we noticed in Figure 8 that with the rising of magnetic intensity, the contour of the induced decelerates with the acceleration of the temperature exponent parameter \(\lambda\) and increases with the escalating buoyancy force parameter \(\xi\). However, the impact again is marginal, and a much more pronounced effect is observed, as expected, on the temperature distribution (Figure 7). Figure 4: Effect of the magnetic force parameter on magnetic field profile. Figure 5: Effect of the radiation parameter on temperature profile. Velocity exponent parameter \(p\) impact on the velocity, temperature, and induced magnetic field profiles is discussed in Figures 9-11. It is seen that the velocity profile increases by increasing the value of the \(p\) and \(\xi\) as shown in Figure 9. Substantial flow acceleration is, therefore, induced with power-law stretching and thermal buoyancy effect, i.e., the thickness of the momentum boundary layer is lowered. According to Figure 10, the thickness of the thermal boundary layer is decreased in the regime as the velocity exponent variable \(p\), and the upthrust force variable \(\xi\) is increased. We observe from Figure 11 that the induced magnetic field profile, however, is enhanced with elevation in the value of \(p\) and \(\xi\). Magnetic boundary layer thickness is, therefore, accentuated with power-law stretching of the sheet and stronger thermal buoyancy effect. Figure 8: Effect of the temperature exponent parameter on magnetic field profile. Figure 6: Effect of the temperature exponent parameter on velocity profile. Figure 7: Effect of the temperature exponent parameter on temperature profile. Figure 12 shows the effect of Prandtl number \(Pr\) on the temperature profile only. It is seen that the temperature profile declines with escalating \(Pr\) and \(\xi\). The thickness of the energy boundary layer deteriorated with the enhancement of \(Pr\) values. The single-most prime statistic in heat transmission in fluids is the Prandtl number \(Pr\), which is a property of a specific fluid under specific circumstances. It is inversely proportional to the fluid's thermal conductivity because it measures the relationship between momentum and thermal diffusivity. Higher thermal conductivity fluids are correlated with Lower Prandtl values and  
Figure 4.0 Effect of the velocity exponent parameter on magnetic field profile.