A new BEM approach for the slow 2D MHD flow about interacting solid particles

Antonie, Sellier
Selçuk, Han Aydın
Tezer, Münevver
This work looks at the two-dimensional MagnetoHydrodynamic steady slow flow of a conducting newtonian liquid about two solid insulating particles. It presents a powerful boundary approach to efficiently compute at a reasonable cpu time cost the flow about the particles when the imposed ambient uniform magnetic and the liquid velocity on each particle contour are given. The trick rests on two derived integral representations for the fluid velocity and pressure in the entire liquid domain. The task is thereby reduced to the treatment of four coupled regularized boundary-integral equations governing the Cartesian components of the surface traction on the cluster boundary. The whole proposed numerical implementation is convincingly tested against theoretical exact solutions for a 2-disk cluster.


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Citation Formats
S. Antonie, H. A. Selçuk, and M. Tezer, “A new BEM approach for the slow 2D MHD flow about interacting solid particles,” Valencia, Spain, 2015, vol. 16, p. 67, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/72164.