On the scale diffusivity of a 2-D liquid atomization process analysis

Towards an interpretation of the scale diffusivity in liquid atomization process: An experimental approach

“…The maximum values for Re and We G are 8000 and 19, respectively. The critical We G above which aerodynamic forces have a non-negligible effect on the spray scale distribution is of the order of 3-5 for liquids whose surface tension varies from 0.02 N/m to 0.07 N/m [10]. These results indicate that, in the present work, the action of the aerodynamic forces is indisputable for P i > 0.6 MPa.…”

“…The scale entropy diffusion model as it is used in the present context has already been presented in previous articles [9,10] and is summarized here only. This model concerns the temporal evolution of multi-scale systems showing scaleand time-dependent fractal dimensions.…”

“…To achieve this, homemade image treatments similar to those presented in previous works [3,9,10] and including image normalization, contour detection and corrections have been applied. The resulting images show the liquid system in white on a black background.…”

“…In the context of two-phase flows, the scale entropy diffusion model has been applied on a liquid spray [8] and on the atomization of a liquid sheet [9][10][11]. The analysis of a liquid spray revealed a constant scale entropy flux gradient through scale space which corresponds to a parabolic behavior for scale analysis [8].…”

“…The application of the scale entropy theory to describe liquid sheet atomization revealed that the process of flow deformation, fragmentation and droplet production is associated to a continuous evolution of the scale entropy function [9]. The scale diffusivity was determined and correlated to the experimental operating conditions [10] and a scale parabolic behavior was identified in the small scale region [11].…”