A New Mechanical Model for Particle Transport by Surface Waves and Applications

Figure 5

Transport of particles at increasing wave speeds (elastic collisions, viscous media over the surface). Reduced impact representation (a) shows the transition to chaos via a period doubling route. Note that impact heights are distributed in the interval [−0.5,0.5]. Nondimensional longitudinal particle’s transport velocity 𝑇_𝑢 drops down at higher wave speeds due to the viscosity of the media above the surface (b). System’s parameters are 𝛼=1; 𝛽=0; 𝜂(𝑥,𝑡)=(2/3)sin(𝜔𝑡−𝑥); 𝜁(𝑥,𝑡)=(1/2)cos(𝜔𝑡−𝑥); ℎ=0.1; 𝑚=0.5; 𝑔=9.81.

(a)

(b)