Effect of Gravitation Modulation on Viscoelastic Nonlinear Ferro-Convection

Abstract

This paper examines a nonlinear investigation of viscoelastic ferromagnetic convection under gravity modulation. A weakly nonlinear instability has been investigated using the perturbation method. Based on the Oldroyd model for ferrofluids, the constitutive equations of the flow model were developed. The coupled system of the Khayat-Lorenz model developed and was numerically solved in the presence of gravity modulation. Heat transfer results are examined for nonlinear theory and neutral stability curves for linear theory. The nonlinear PDE system is transformed into a nonlinear ODE system with similarity transformations up to the second term. The dual effect of the gravity modulation includes stabilizing and destabilizing.