Self-similar pressure-atomized sprays

Self-similar sprays with heat and mass transfer

“…In pressure-atomization by ejection of a liquid into a gaseous environment, a flow field is induced in the otherwise quiescent gas phase. Recently, it has been shown that the progression of this type of spray flow towards an equilibrium state also exhibits self-similarity [1]. The self-similar analysis provided an analytical description of the gas flow field and of the rate of momentum transferred from the liquid to the gas phase.…”

“…The self-similar analysis provided an analytical description of the gas flow field and of the rate of momentum transferred from the liquid to the gas phase. We use the self-similar description of the spray flow [1], valid in the region dominated by momentum transfer from the droplets to the gas phase, to derive a self-similar model describing evaporating sprays. For this purpose we use the measurement data obtained by [1] with phase-Doppler anemometry (PDA).…”

“…We use the self-similar description of the spray flow [1], valid in the region dominated by momentum transfer from the droplets to the gas phase, to derive a self-similar model describing evaporating sprays. For this purpose we use the measurement data obtained by [1] with phase-Doppler anemometry (PDA). The PDA measurement data includes local drop characteristics at high spatial resolution, acquiring two velocity components and the size of 10 5 drops at each point of measurement in the flow field.…”

“…Table 1 lists the values of these characteristic numbers together with the liquid mass flow rate ṁl through the atomizer orifice. A detailed description of the experimental setup and the measurement results can be found in [1]. In the present study, the PDA measurement data is used to model the source of vapour in the sprays due to droplet evaporation.…”

“…In the present study, the PDA measurement data is used to model the source of vapour in the sprays due to droplet evaporation. [1]. In the definitions of the liquid Weber and Ohnesorge numbers, dor denotes the diameter of the atomizer orifice, uor the mass-flow mean liquid velocity through the atomizer orifice, ρ l the liquid density, µ l the liquid dynamic viscosity and σ the liquid surface tension against air.…”