Numerical investigation of collision dynamics of wet particles via force balance

Abstract

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Liquid-mediated particle capture by nonwoven filter media for automotive engine intake air filtration

“…It would be exciting to know what happens to the particles once they impact on the liquid-treated fibers. Buck et al 25 postulated that the particles would bounce back after impacting on the fiber surface if the kinetic energy of the particles after impact is greater than the adhesive forces experienced by the particles. Otherwise, the particles would remain captured by the filter media.…”

“…The force balance equation can be written as followswhere mp is the mass of the particle, vp is the velocity of the particle, tp is the time taken by the particle, and Fp is the net force acting on the particle. According to Buck et al 25 , the net force can be expressed as a sum of all individual force components acting on the particles. This is shown belowwhere Fvis, p stands for viscous dissipative force, Fcon, p denotes contact force, Fcap, p indicates capillary force, and Fgra, p refers to gravitational force.…”

“…Since this equation tends to infinity for the distance approaching to zero, a critical distance of 0.5 μm was considered. 25 Depending upon the magnitude of the individual viscous dissipative force, the one with greater magnitude will be taken. This is shown below.…”

“…where m p is the mass of the particle, v p is the velocity of the particle, t p is the time taken by the particle, and F p is the net force acting on the particle. According to Buck et al 25 , the net force can be expressed as a sum of all individual force components acting on the particles. This is shown below…”

“…The half-filling angle was taken as 45°, the contact radius was considered as equal to the particle radius (maximum value), the contact angles for glycerol, oil, PEG, and deionized water were taken as 92°, 67°, 48°, and 101°, respectively. [25][26][27] Of course, these values could be taken differently owing to the dynamic character of the particle collision process, but this would not change the overall conclusion drawn on the effects of liquid properties on the bounce of particles. The trends of the viscous dissipating force and the capillary force against different particle sizes for the four different liquids taken in this work are displayed in Figure 6.…”