Abstract

Currently, information on the interaction of ellipsoidal particles with rough topography is limited. In this work, a mathematical model was developed based on the extended Derjaguin-Landau-Verwey-Overbeek (XDLVO) theory and surface element integral (SEI) to simulate the total interaction energy created between ellipsoidal particles with rough surfaces, which were constructed by the modified two-variable Weierstrass-Mandelbrot (WM) function. The simulated results revealed that an increase in the fractal roughness and relative fractal roughness of particle surface would increase the surface roughness of particles and weaken the total interaction energy between ellipsoidal particles. Compared with spherical shape particles, the ellipsoidal particles provided greater interaction energy because an ellipsoidal shape would generate a greater interaction area than a spherical shape between particles. Amplifying the aspect ratio diminished the interaction energy between particles but enlarging particles would strengthen the interaction energy. In addition, the orientation angle of ellipsoidal particles would affect their interaction.

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