*4.3. Gas Velocity Profile*

The effect of the model coefficient on the flow velocity declined for higher values of the model coefficient, as displayed in Figure 13. It is clear in Figure 14 that with the increase of the lift coefficient, the velocity of fluid went up. From Figure 15, it was perceived that the behavior of the velocity rose with the increasing values of the Eotvos number. It can be perceived from Figure 16, that when we increased the values of volume, a dipping behavior of the velocity was grasped. The fluid velocity increased with increasing values of the added mass coefficient, as portrayed in Figure 17. From Figure 18, it can be concluded that with an increase in the values of Rbe, the velocity of fluid increases. Figure 19 shows that the velocity rose with the increasing values of the slip velocity.

#### **5. Conclusions**

In this investigation, the rheological properties of the liquid influenced the coating to make dynamical behavior nonlinear. Due to nonlinearity, first the constraints of low Reynolds number and long wavelength approximations, after transforming the actual frame into a wave frame, were used, and then the nonlinear coupled equations were solved by a well-known perturbation technique. The physical effects of prominent parameters, namely volume, Eotvos number, mass coefficient, slip velocity, and model coefficients were examined and discussed.

**Author Contributions:** Conceptualization, R.E.; investigation, N.I.; methodology, A.R.; validation, A.Z.; writing—review and editing, S.M.S. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding.

**Conflicts of Interest:** The authors declare no conflict of interest.
