Extended Data Fig. 7: Various factors that influence the capillary-attraction-driven kinematics between two floating particles.
From: Mechanistic formulation of inorganic membranes at the air–liquid interface
a–d, Influence of the particle size (variable R1 is from 10 to 99.99 μm) on the kinematics at L0 = 400 μm, k = 3, ρ = 8,000 kg m−3 and ε = 0.05. e–h, Influence of the initial distance (variable L0 is from 100 to 1,000 μm) on the kinematics at R1 = 20 μm, k = 3, ρ = 8,000 kg m−3 and ε = 0.05. i–l, Influence of the diversity factor (variable k = R2R1−1 is from 1 to 10) on the kinematics at L0 = 500 μm, R1 = 40 × 10−6, ρ = 8,000 kg m−3 and ε = 0.05. a,e,i, Time-dependent distance between the two floating particles in the capillary-attraction-driven acceleration process. b,f,j, Proportion of the displacement of the smaller particle to the initial distance when the two particles mutually collide. c,d,g,h,k,l, Time-dependent velocity for smaller particle (v1; c,g,k) and bigger particle (v2; d,h,l). Note that v1 and v2 are in opposite sign, indicating their relative movement under capillary attraction.
