Rayleigh-Taylor Instability at the Interface of Superposed Couple-Stress Casson Fluids Flow in Porous Medium under the Effect of a Magnetic Field

• Published in: Journal of Applied Fluid Mechanics 2014-10, Vol.7 (4), p.573-580
• Main Authors: Agoor, B M, Eldabe, N T M
• Format: Article
• Language: English
• Subjects: Casson equation; Computational fluid dynamics; Density; Flow stability; Fluid flow; Fluids; Growth rate; Instability; Interface stability; Joining; Magnetic field; Magnetic fields; Magnetic permeability; Magnetic properties; Mathematical models; Micropolar fluid; Non-Newtonian fluid; Parameters; Permeability; Physical properties; Porous media; Porous medium; Rayleigh-Taylor instability; Stability analysis; Stress; Taylor instability; Viscosity
• ISSN: 1735-3572; 1735-3645
• DOI: 10.36884/jafm.7.04.19356

The Rayleigh-Taylor instability (RIT) at the interface of two superposed Couple-stress Casson fluids flowing in porous medium and in the presence of a uniform normal magnetic field is studied. The fluids have different densities. For mathematical simplicity, the stability analysis based on fully developed approximations is used. The maximum wave numbers and the corresponding maximum frequency are obtained. The Growth rate of Rayleigh-Taylor instability in the case of non-Newtonian Casson fluid with couple-stress through porous medium is discussed. The effects of physical parameters of the problem such as the permeability parameter, magnetic parameter, non-Newtonian Parameter and couple-stress parameter on the regions of stability are discussed numerically and illustrated graphically through a set of figures.