ARUNA A S
Articles written in Pramana – Journal of Physics
Volume 94 All articles Published: 28 October 2020 Article ID 0153 Research Article
The present paper aims at weak non-linear stability analysis followed by linear analysis of finite amplitude Rayleigh–Bénard magnetoconvection problem in an electrically conducting Newtonian liquid with heat source/sink. It is showed that the internal Rayleigh number, thermorheological parameter and Chandrasekhar number influence the onset of stationary convection and Nusselt number. The generalised Lorenz model derived for the problem is essentially the classical Lorenz model with its coefficients depending on the variable heat source (sink), viscosity and the applied magnetic field. The result of the parameters’ influence on the critical Rayleigh number explains their effect on the Nusselt number as well. The effect of increasing strength of the magnetic field in stabilising the system and diminishing heat transport is demonstrated. But the heat source and variable viscosity work together to make the system unstable, as their effect enhances heat transfer.
Volume 95, 2021
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode