Trajectories of a single particle

In vertical impinging streams the two streams are flowing vertically. In this case the effect of gravity cannot be neglected. The trajectories of a single particle in the impinging streams are shown in Fig. 2.7. 

Figure 3.1 The motion of surfaces of constant S in configuration space. At t = 0 the surfaces S — a and S = b coincide with the surfaces for which W = a and W = b. Surfaces of constant W have fixed locations in space. Surfaces of constant S represent wavefronts propagating in configuration space. The trajectory of a single particle in 3D-space lies along the wave normals.

Fig. 9 Partly reprinted from [104]. (a) Trajectory of a single particle over 800 s in the velocity-V( I It I city plane in the co-moving frame as defined in Equation 5 for a sheared glass at a local shear rate /= 9.3 10 s . (b) Selected incoherent scattering functions Fs Qm,t, with /increasing from rz gfe to left. The dashed line schematises initial relaxation. Insef. data collapse using fs Qmf with the line showing that /j = aepl —t/ta - (c-f) Snapshots of the stmcture for / = 0.0015 s , (c) at to = 80 s after start of imaging. The grey-scale measures the change in local environment of each particle (-Q (to, di)) over the past dt = 40 s. (d) at to = 120 s and dt = 80 s.

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