Abstract
The influence of axial periodic electric fields on streaming flows through three coaxial infinitely vertical cylinders is considered. The three fluid layers are assumed to be incompressible, dielectric, viscous and saturated through porous media. To relax the mathematical manipulation of the problem, the viscous potential theory is considered. Through the current work, the stability analysis of the coupled Mathieu equations is developed in the analogy of the multiple scales homotopy technique. Away from the symmetric and anti-symmetric modes, the present study investigates a general case of the surface waves deflections. To overcome the lengthy of the algebraic calculations, the matrices concept is utilized. The stability analysis reveals the resonance as well as non-resonance cases. A set of graphs are depicted to indicate some resonance cases for a chosen sample through a dimensionless system. Therefore, the influence of some physical parameters on the stability picture is indicated. In addition, the perturbed solutions of the governed Mathieu equations are graphed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
