Numerical /Analytical Investigations of Stability of Stratified Rotatory Elastico –Viscous Walter’s

For viscoelastic polymeric solutions in the presence of a variable horizontal magnetic field and uniform horizontal rotation in porous medium, the influence of viscosity, viscoelasticity, medium permeability, medium porosity, and suspended particles on the stability of a stratified elastic-viscous fluid is investigated. Walters' (model) fluid is the name given to these solutions, and Walters' (model) fluid constitutive relations are used to approximate their rheology. The effects of the coriolis force on stability are chosen along the magnetic field's direction and transverse to the gravity field's direction. The proper solution for the situation of free borders is determined utilising a linearized stability theory and normal mode analysis approach, assuming exponential stratifications in density, viscosity, and viscoelasticity. The connection of dispersion is The behaviour of growth rates in relation to kinematic viscosity, kinematic viscoelasticity, medium permeability, dust particles, and medium porosity is numerically investigated using the Newton-Raphson technique in Fortran-90 and Mathcad. For stable stratifications and tiny wavelength disturbances, the system is shown to be unstable, in contrast to Newtonian fluids. The magnetic field is found to stabilise a certain wave number band, for unstable stratification in the presence of rotation, suspended particles, and this wave number range increases with the increase in magnetic field and decreases with the increase in kinematic viscoelasticity, implying that the magnetic field, kinematic viscoelasticity, suspended particles, and the kinematic viscosity has a stabilising effect on the system for the low range of wave numbers The increase in medium permeability has an amplifying influence on growth rates for a fixed wave number. These findings are represented visually.

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