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ONSET OF CONVECTION OF A CASSON NANOFLUID WITH MAGNETIC EFFECT: A NUMERICAL STUDY
Keywords:
Casson nanofluid, linear stability analysis, magnetic effectDOI:
https://doi.org/10.17654/0973576325044Abstract
In this study, the start of convective instability in a Casson nanofluid under the influence of a transverse magnetic field is investigated using linear stability analysis. Because of their improved heat transfer properties and non-Newtonian rheology, Casson nanofluids have garnered a lot of interest in scientific and practical applications. The governing non-dimensional equations are solved using the normal modes method, which leads to an eigenvalue problem for the linear stability analysis. In MAT-LAB R2021a, the eigenvalue problem is solved with bvp4c. The physical observations have been made on parameters like the concentration Rayleigh number (Rn) the modified diffusivity ratio (Na) the Casson fluid parameter $(/beta)$ and the Hartmann number (Ha) The findings show that the critical Rayleigh number is considerably lowered by raising the Casson fluid parameter and concentration Rayleigh number, which speeds up the beginning of convection. Additionally, it is noted that by enhancing solutal buoyancy effects, greater values of the modified diffusivity ratio contribute to the system’s destabilization. On the other hand, by reducing flow disruptions brought on by the Lorentz force, the Hartmann number shows a substantial stabilizing effect. Additionally, the research reveals a complex interaction between magnetic effects and the Casson parameter, suggesting that in specific parameter regimes, non-Newtonian behavior can partially counteract magnetic stabilization. With possible ramifications for thermal management and process optimization in engineering applications, our findings provide fresh insights into managing convective instabilities in Casson nanofluids.
Received: June 22, 2025
Revised: July 7, 2025
Accepted: October 8, 2025
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