## 5 Results and Discussion  
To enhance understanding of the analysis, the results are demonstrated in tables and figures showing the impact of the thermofluid parameters on the flowing velocity, heat distribution, mass transfer, and motile microbes' distribution. These are presented in Figures 4-28 and Tables 1 and 2 for a variational increase in the thermophysical terms. Figures 4-7 demonstrate the material effect on flowing fluid velocity fields. A rise in dilatant Deborah number \(\alpha_{1}\) resulted in a significant decline of the nanofluid velocity magnitude as displayed in Figure 4. This is a result of enhancing shear material thickness that stimulated the bonding force. The opposed nanoparticles' molecular interaction reduced thermal transfer, which consequently decreased the velocity distribution. Moreover, the [PERSON] nanoliquid material term \(\alpha_{2}\) increased the flow rate distribution as seen in Figure 5. The pseudoplastic term inspired [PERSON]'s and [PERSON]'s thermal conductivity to boost the spinning of motile microbes along with the stretching sheet. Accordingly, the random motion of the nanoparticles was propelled, thereby encouraging the current-carrying nanofluid. As such, the flow rate past the streaming boundless medium was raised in magnitude. Likewise, the Deborah pseudoplastic number \(\alpha_{3}\) and \(\alpha_{4}\) enhanced the flow regime towards the far stream as presented in Figures 6 and 7. The flow velocities were significantly raised with increasing pseudoplastic material terms. As the terms are increased, the nanoparticles' bonding force is dominated by an internally generated heat to allow free molecular interaction of the fluid particles. Therefore, the velocity distributions were enhanced with rising Deborah numbers across the flow domain. Figure 19: Outlines of \(\phi\) at diverse quantities of \(Nt\). Figure 17: Outlines of \(\theta\) at diverse quantities of \(\lambda_{T}\). Figure 21: Outlines of \(\phi\) at diverse quantities of \(Nb\). Figure 22: Outlines of \(\phi\) at various values of \(Le\). Figure 20: Outlines of \(\phi\) at diverse quantities of \(\gamma_{2}\). Figure 23: Outlines of \(\phi\) at diverse quantities of \(\sigma^{*}\). Figure 24: Outlines of \(\phi\) at diverse quantities of \(\lambda_{C}\). Figure 25: Outlines of \(\chi\) at diverse quantities of \(Lb\). Figure 5.0 Outlines of \(\chi\) at diverse quantities of \(\delta\). Figure 5.1 Outlines of \(\chi\) at diverse quantities of \(\gamma_{3}\). In Figure 8, the increasing number of the magnetized force opposed the flowing velocity outline as presented. The motile microorganisms were damped due to an induced electromagnetic force that resists the nanoparticles' free collision. This accordingly affects heat transfer, thereby meaningfully impacting the flow rate. The impact of the bioconvective Rayleigh quantity on the nanofluid flow rapidity is investigated in Figure 5.2 The Rayleigh number is connected with the convective buoyancy-driven flow; an increase in the Rayleigh number caused a rising flow velocity field near the stretching wall due to an enhanced heat gradient. The effect reduces along the far stream because of an increased fluid shear stress, which restricts the free flow of motile microbes. Hence, the velocity profile reduced and increased with the Rayleigh number variation. The sensitivity of the flow velocity to rising buoyancy ratio number \(Nr\) is displayed in Figure 5.3 The velocity distribution was reduced as a result of the dominance of the fluid viscosity over the thermal buoyancy. As observed, the motile microorganisms of the nanofluid interaction were hampered, resulting in a significant decrease in the flow rate field. In Figure 11, the effect of increasing combined convective term \(\lambda\) on the rapidity distribution is examined. The combined natural and force convection denoting mixed convection raised the up-swimming of the microorganisms in a suspended nanoparticle, which led to an enhanced flow rate profile.