A Model of Water Treatment by Nanoparticles in a Channel with Adjustable Width under a Magnetic Field

The process of water treatment by nanoparticles is one the most considerable subjects in cross-field hydrodynamics, chemistry, and mathematics. This paper dedicated to case flows that appear when squeezing stretching a channel with mixing water, nanoparticles, contaminants. It assumed fluid homogeneous at starting moment, parameters contaminants are known, there constant non-homogeneous magnetic field applied system. flow starts moving walls shift each other. Exact numerical solutions system ordinary differential equations used obtain results. article gives an answer question about stability proposes technique evaluate essential characteristics achieve efficiency. main result considered shows excellent properties concerning purification on selected part stage. effect does not without field. mentioned are: decreasing nanoparticle concentration zero inside unsteady layer under close 1 T this stays until become 10% initial width as squeezing.