Particle capture modeling for an axial magnetic filter with a bounded non-Newtonian flow field

• A trajectory model, analytical solutions and analysis for the particle capture in the non-Newtonian flow were obtained.
• The conditions to use the approximation expression for the flow profile in the tube were determined.
• Analytical solutions for the particle trajectory equation were obtained.
• The effects of non-Newtonian properties of the carrier suspension were analyzed.

Capturing fine magnetic particles in axial magnetic filter from non-Newtonian suspension was examined theoretically. A trajectory model was formed for the movement of the particle in bounded flow field magnetic filter that has advantages for various theoretical modeling and practical applications as presented in the literature [1–8]. The effects of the non-Newtonian properties of the suspension on the particle capture distance were evaluated. Since the magnetized ferromagnetic wire was outside the cylindrical tube in which the suspensions flow, the velocity profile within the tube was determined according to the power law rheological model. The conditions to use the approximation expression for the flow profile in the tube were determined by considering the energy dissipation. Analytical solutions for the particle trajectory equation were obtained under above-mentioned conditions. Based on these results, the effects of the non-Newtonian properties of the carrier suspension on the movement trajectory of the particle and the capture cross-section were scrutinized.

Trajectories in Newtonian (n = 1) and non-Newtonian (n = 0.9) flow.Figure optionsDownload as PowerPoint slide