Table 1 Analytical Predictions.

From: Enhanced droplet collision rates and impact velocities in turbulent flows: The effect of poly-dispersity and transient phases

Case

St 1

St 2

Prediction

Figure

Case 1

St 1

Δ = Δ 0 exp (−τ/St)

Fig. 1(b)

Case 2

\(S{t}_{1}\ll 1\)

\(S{t}_{2}\mathop{ < }\limits_{ \tilde {}}1\)

Δ ~ St 2

Fig. 1(c)

Case 3

\(S{t}_{1}\ll 1\)

\(S{t}_{2}\gg 1\)

Δ = Δ0 exp (−τ/St 2)

Fig. 1(c)

Case 4

\(S{t}_{1}\mathop{ > }\limits_{ \tilde {}}1\)

St 2 ≠ St 1

None

Fig. 1(d)

  1. A summary of the different asymptotics and the theoretical predictions for Δ.