The instability of plane interface between two superposed Rivlin-Ericksen elastico-viscous fluids saturated through a porous medium has been studied to include the suspended (dust) particles effect. Following the linearized stability theory and normal mode analysis the dispersion relation is obtained. For stationary convection, the Rivlin-Ericksen elastico-viscous fluid behaves like Newtonian fluids. ; It found that for a potentially stable arrangement the Rivlin-Ericksen elastico-viscous fluid of different permeabilities in the presence of suspended particles in a porous medium is stable, whereas in a potentially unstable case instability of the system occurs. In the presence of a magnetic field for a potentially stable arrangement the system is always stable and for the potentially unstable arrangement, the magnetic field succeeds in stabilizing certain wave-number band which was unstable in the absence of the magnetic field.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 20, number 4 (2015)
Biblioteka Uniwersytetu Zielonogórskiego
Jul 6, 2023
Apr 17, 2023
87
https://zbc.uz.zgora.pl/publication/80934
Singh, Mahinder Jurczak, Paweł - red.
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