Effect of Variable Viscosity and Gravity Modulation on Linear and Non-Linear Rayleigh-Benard Convection in Viscoelastic Ferromagnetic Liquids
G. Roopa1, D. Uma2

1G. Roopa, Department of Mathematics, Raja Rajeswari College of Engineering, Bengaluru, Karnataka, India.
2D. Uma, Department of Computer Science, Engineering, PES University, Bengaluru, Karnataka, India.
Manuscript received on December 13, 2019. | Revised Manuscript received on December 20, 2019. | Manuscript published on January 10, 2020. | PP: 3482-3488 | Volume-9 Issue-3, January 2020. | Retrieval Number: C8003019320/2020©BEIESP | DOI: 10.35940/ijitee.C8003.019320
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Abstract: The combined effect of various parameters of gravity modulation on the onset of ferroconvection is studied for both linear and non-linear stability. The effect of various parameters of ferroconvection is studied for linear stability analysis. The resulting seven-mode generalized Lorenz model obtained in non-linear stability analysis is solved using Runge -Kutta-Felberg 45 method to analyze the heat transfer. Consequently the individual effect of gravity modulation on heat transport has been investigated. Further, the effect of physical parameters on heat transport has been analyzed and depicted graphically. The low-frequency gravity modulation is observed to get an effective influence on the stability of the system. Therefore ferro convection can be advanced or delayed by controlling different governing parameters. It shows that the influence of gravity modulation stabilizes system. 
Keywords: Gravity Modulation, Ferromagnetic liquids, Ferroconvection, Variable Viscosity, Generalized Lorenz Model, Heat transport.
Scope of the Article:  Routing and Transport Protocols