Inertial effects on steady hydromagnetic mushy layer convection

G. S. Mytra^{1, 2} - P. K. Srimani³

¹ Research and Development Centre, Bharathiar University, Coimbatore--641 046, Tamilnadu, India
² Department of Mathematics, J.S.S. Academy of Technical Education, Uttarahali-Kengeri main road, Bangalore-560 060, India
³ Department of Computer Science and Mathematics, Bangalore University, Bangalore, India

Abstract
The present investigation concentrates on studying the inertial effects on steady hydromagnetic convection in a horizontal mushy layer of constant permeability. The analytical study considers a model using a near eutectic approximation and a large far-field temperature through a modified perturbation technique. The dynamics of the mushy layer is studied with the main objective of providing a suitable model which can inhibit the formation of freckles which spoil the quality of the crystal formed associated with chimney convection during the solidification of a binary or a multi-component alloy. Our results suggest that by a proper choice of magnetic and inertial parameters it is possible to suppress chimney convection enormously in the case of hydromagnetic mushy layer convection. The profiles of marginal stability curves, vertical velocity, magnetic field, temperature and local solid fraction are presented, which clearly predict the behavior of the system in an effective way. The results are in excellent agreement with the available results in the limiting cases. Tables 4, Figs 8, Refs 24.