Linear Stability Analyses of Rayleigh-Benard Convection due to Ternary Hybrid Nanofluid

We aim to study, the linear stability analyses of Rayleigh-Bénard convection in a horizontal layer of ternary hybrid nanofluids. The difficulties concerning the two nano fluid yielded eigen values, which were subsequently obtained and compared. Models of the thermophysical characteristics of nano liquids have been developed based on the characteristics of water as the base liquid and the nanoparticles of aluminum oxide, zirconium oxide, and magnesium oxide. An analytical solution is found for the stationary basic solution of the vertical throughflow. It turns out that the fundamental fields of temperature and velocity are independent of the Newtonian. An examination of linear stability is performed, which results in an eigenvalue problem with order four. The neutral stability curves and the critical Rayleigh number for the onset of instability are obtained by applying a numerical solution to the eigenvalue problem. A strong agreement is discovered when the water results are compared to the findings of earlier studies as a limiting case. A graphic is used to represent the outcomes. The neutral stability curve’s location and the critical Rayleigh number are affected by these factors. The different cases of mono, hybrid, and ternary nanofluids are discussed in detail.