# Magnetohydrodynamic Nanoliquid Thin Film Sprayed on a Stretching Cylinder with Heat Transfer
## 5 Discussion  
### Velocity Profile  
It is elucidated that motion of the fluid slows down near the stretching surface and it enhances far away from stretching cylinder. The salient characters in the film sprayed on a cylinder are thethin film nanofluid parameter \(\beta_{1}\) and the stretching Reynolds number \(Re\). Concentrating first the contribution of the thin film nanofluid parameter \(\beta_{1}\), which has the close relation to the rate of mass spray. It affects the flow behavior completely. From Figure 4, it is evident that the velocity faces retardation with greater quantities of film thickness parameter \(\beta_{1}\). The axial velocity \(f(\zeta)\) is found to enhance with thinning of the nanoliquid film. With the increase of film thickness the mass of the fluid increases which is difficult to move. Motion automatically stops when thickness of the fluid film is high. Too much effort is required for the movement of the thick film liquid. It is very difficult to make motion in the sea compared to the flow in a pipe. The nanoparticle volume fraction parameter \(\phi\) has a negligible effect on the motion witnessed by Figure 5. Velocity does not change with increasing values of \(\phi\). Figure 6 demonstrates that the axial velocity \(f(\zeta)\) goes to decrease by the large values of Reynolds number \(Re\). The reason is that the Reynolds number is the ratio of the inertia force to the viscous force so, when the Reynolds number becomes higher the inertial force overcomes the flow in contrast to viscous forces. Hence for the greater values of Reynolds number \(Re\) velocity retards and the motion decays gradually to the ambient. The inertial forces are very powerful and they do not allow the liquid atoms/molecules to flow. Strong viscous forces have strong resistance to the motion of the fluid. Boundary layer flow of fluid motion decreases with strong inertial forces. Figure 7 is prepared for the parameter \(M\) demonstrating magnetic field. As the values of \(M\) increases on surface during the flow, the motion decreases which results in to retard the motion profiles. Generally, the momentum boundary layer is made thin by greater quantities of \(M\) since the use of magnetic field to a fluid capable for conduction generates a force of resistivity called Lorentz force. This force is responsible for bringing the retardation in the movement of the fluid. This force decelerates the motion horizontally and overcomes the motion layer related to axial velocity \(f(\zeta)\). This characteristic remains up to some heights and then the action is converted to slowing down. The magnetic field parameter keeps an additional influence on the motion. It is clear that magnetic field produces more restriction to the fluid. In fact, magnetic field is in contrast to the transportation.  
Figure 5: Non-dimensional velocity \(f(\zeta)\) sketch for \(h=-1.10\), \(\beta_{1}=1.70\), \(M=0.10\), \(Re=0.70\), \(Pr=6.80\) and various values of \(\phi\) (CuO-H\({}_{2}\)O).  
Figure 6: Non-dimensional velocity \(f(\zeta)\) sketch for \(h=-1.10\), \(\beta_{1}=1.70\), \(M=0.10\), \(\phi=0.04\), \(Pr=6.80\) and greater quantities of \(Re\) (CuO-H\({}_{2}\)O).  
Figure 7: Non-dimensional velocity \(f(\zeta)\) sketch for \(h=-1.10\), \(\beta_{1}=1.70\), \(M=0.10\), \(Re=0.70\), \(\phi=0.04\), \(Pr=6.80\) and greater quantities of \(M\) (CuO-H\({}_{2}\)O).