A lamellar model for analysis of liquid-liquid mixing

Thermal delay of drop coalescence

“…Only on longer time scales does thermal diffusion become effective and the drop equilibrate thermally. A mathematical framework to study related advection-diffusion problems has been developed in the context of mixing by Ottino, Ranz & Macosko (1979) and Ranz (1979), and recently applied by Meunier & Villermaux (2003) to describe scalar mixing in an axisymmetric vortex flow. In the following, we apply this method to the case of thermal homogenization within the drop, assuming that a roughly symmetric process is also taking place in the bath (Savino et al 2003).…”

“…Computing the maximum shear rate at the interface (r = 1, θ = π/2) from (3.7), we deduceŪ = U 0 /3π andγ = U 0 /(3π 2 R). Following the method introduced by Ottino et al (1979), we write the energy equation in the frame of reference (X, Y) of a material element that is convected and deformed as shown in figure 5(b). Neglecting variations in the X-direction, we write:…”

On the dynamics of magma mixing by reintrusion: implications for pluton assembly processes

“…This is a consequence of the thinning of material volumes and their dispersal as a result of both shear and a process of sifting, which is the mutual interpenetration of volumes of di ering mixture-density in a gravity ®eld. This results in a creation of surface area and reduction of length scales that facilitates the smallest scales of mixing by molecular di usion (Ottino et al, 1979). The physical volumes that undergo mixing are de®ned by their interfaces, and these can change shape and position with time.…”

Experimental study of efficient mixing in a micro-fluidized bed

“…The second measure for quantifying mixing performance is the energetic efficiency of mixing of Falk and Commenge [27], which is given by ratio of shear rates following Ottino et al [50] =…”