The Combinatorial Impact of Through-Flow and G-Jitter on Instability Exploration of a Rotating Layer of Nano-Liquid with the Magnetic Field

In the present article, we investigate the impact of gravity modulation and through-flow on the instability of magneto-convection in a rotating layer of nano-liquid. Compared to regular liquids, nano-liquids have significantly better heat transmission efficiency, and therefore they can work as excellent coolants in various industries where cooling is a challenge. The normal mode technique and a two-term Fourier series expression have been applied for linear and non-linear exploration, respectively. In linear analysis, we found the impact of many parameters on the initiation of convection. Through-flow has a dual impact on the system. The magnetic Chandrasekhar number and the Taylor number both have stabilizing effects. The magnetic Prandtl number does not affect the initiation of convection. With the use of Mathematica NDSolve and the RKF-45, the rate of heat and mass movement in the area was examined. It was discovered that the rate is identical in both scenarios. Thus, the RKF-45 approach proved the convergent nature of all Mathematica NDSolve solutions. In a nonlinear study, the influence of through-flow, magnetic Chandrasekhar number, Taylor number, the frequency of G-jitter, and the amplitude of G-jitter on heat and mass transport is investigated. The heat and mass transportation increase while the growth of the through-flow. As the MC (Magnetic Chandrasekhar) number and Taylor number increase, the heat and mass transportation in the domain decrease.