Theoretical Study of a New Spray On Demand Print - Head

On Demand print-head (SOD) is performed. This work leads us to study (i) fluid structure/interaction with a vibrating tube conveying fluid, assimilated to a cantilever beam excited by a pointwise piezoactuator (PZA) (ii) fluid film instability with spray generation. After establishing a more general equation of the motion of a vibrating tube filled with fluid using Hamilton's modified principle, an analytical solution is proposed allowing to determine the volume flow rate generated by the motion of the tube motion. The maximum entropy formalism (MEF) is used to predict the drop size distribution and the Sauter Mean Diameter of the SOD. The coupling of the three-parameter generalized Gamma distribution with physical based-distribution constraints is proposed leading to new predictions in the framework of the MEF formalism.