A simple scenario of the laminar breakdown in liquid metal flows

A. V. Proskurin¹ - A. M. Sagalakov^2}

¹ Altai State Technical University, 46 Lenin pr., Barnaul 656038, Russian Federation
² Altai State University, 61 Lenin pr., Barnaul 656049, Russian Federation

Abstract
In the article, authors present a numerical method for modelling a laminar-turbulent transition in magnetohydrodynamic flows. The small magnetic Reynolds number approach is considered. Velocity, pressure and electrical potential are decomposed to the sum of state values and finite amplitude perturbations. A solver based on the Nektar++ framework is described. The authors suggest using small-length local perturbations as a transition trigger. They can be imposed by blowing or by electrical enforcing. The stability of the Hartmann flow and the flow in the bend are considered as examples. Tables 4, Figs 19, Refs 28.