Rotating Convective Instability of a Jeffery Nanofluid with the Effect of a Magnetic field: Weakly Non Linear Analysis
DOI:
https://doi.org/10.5890/JAND.2027.03.007Abstract
Investigating the rotating convective instability of a magnetically-influenced Jefferey nanofluid is the goal of this work. For both stationary and oscillatory convection, a variety of parameters are graphically evaluated, including the Jeffery parameter ($\lambda$), Taylor number ($Ta$), nanoparticle Rayleigh number ($R_n$), adjusted diffusivity ratio ($N_A$), Lewis number ($Le$), and Hartman number ($Ha^2$). The impact of these parameters on stability analysis in the two forms of convection are investigated. The governing equations of the research are solved through the use of normal modes in both linear and weakly nonlinear analyses. By using these analyses, critical Rayleigh numbers for the beginning of oscillatory and stationary instability are found. The differential eigenvalue problem is solved using a one-term Galerkin technique in linear theory, whereas multiple scales analysis is used to study the weakly nonlinear theory.References
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