Nonlinear instability of finitely conducting cylindrical flows through porous media

✍ Scribed by Abd Elmonem Khalil Elcoot; Galal M. Moatimid

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 375 KB
• Volume: 343
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2004.05.060

✦ Synopsis

A weakly nonlinear stability of two-layers ows between two concentric circular cylinders in porous media, is investigated. The two uids are subjected to a uniform-axial electric ÿeld. The boundary value-problem of the considered system is analytically treated using a perturbation procedure based on the multiple scales-technique. The results of the ÿrst order determine the dispersion relation and the higher orders result in a Ginzburg-Landau equation, describing the behavior of the system. The topological features of stability picture are depicted. The e ects of the electric ÿeld, Darcy's coe cients, streaming and conductivity on the stability are identiÿed. The nonlinear theory predicted more accurately the instability, where new instability regions, appearing due to the nonlinear e ects.