Nonlinear EHD stability of a cylindrical interface separating two Rivlin-Ericksen fluids: A novel analysis

Abstract

The NS of a cylindrical interface separating two liquids of the RE type is scrutinized in the present article. Through the presence of uniform streaming, the two electrified liquids are acted upon by an unchanged longitudinal EF. Density, viscoelasticity, and electrical features of the two liquids are all diverse; the ST at the interface is maintained. The motivation behind the present study lies in the numerous potential applications of this topic in manufacturing, engineering, and practical physics. The viscoelastic participation, also recognized via the VPF, can merely be constructed at the interface owing to the complexity of the theoretical process. The GEMs are inspected by the LS approach, then the nonlinear BCs are reached. A nonlinear equation of the interface movement is created by this technique. As well-known, the LS performance was extensively discussed in numerous publications. Accordingly, we exclusively study the nonlinear intelligence in the present work. A new methodology grounded in the NPA is employed to scrutinize the interface deviation in numerous frameworks and to estimate the NS. The last equation is an instance of a PDE with composite quantities. This equation is signified as a nonlinear HRHO, subject to specific constraints. A linear equation that corresponds to the measured NPA is created. The two equations are confirmed by a numerical analogous. At this stage, the linear equation is established to investigate the framework of a liquid flow along with the dimensionless fundamental numerals. Numerous non-dimensional physical numbers, used to characterize the system, are likewise determined. The physical significance of certain amounts aids in certain physical explanations. A set of charts is adopted to theoretically inspect and numerically display of the stability thresholds. The apprehension of instability/stability is portrayed by organizing the EF strength against the travelling wave numeral. To validate the stability profile, several polar representations are depicted. In our opinion, the current analysis is simple, operative, hopeful, and may be employed in a diversity of circumstances.