“…Furthermore, the local concentration and velocity of particles may be correlated (the particles may flow in clusters) causing additional bias, and this also requires attention. These two cases of bias have generally not been considered in work on unsteady two-phase flow, such as that related to fluidized bed (Levy and Lockwood, 1983;Hamdullahpur and Mackay, 1986;Berkelmann and Renz, 1991;Yang et al, 1992;Wang et al, 1993;Zhang and Arastoopour, 1995;Samuelsberg and Hjertager, 1996;Werther et al, 1996;van den Moortel et al, 1997;van den Moortel et al, 1998;Mathiesen et al, 2000;Ibsen et al, 2001Ibsen et al, , 2004. Furthermore, the measurement area and volume of the PDA probe may depend on diameter d and direction c of the sampled particle (c is the angle between the velocity vector of the particle, u, and the main flow direction, x, as shown in Fig.…”