Mathematical representation of liquid jet diffusion characteristics effected with evaporation process in supersonic crossflow

The liquid jet diffusion characteristics effected with evaporation process and the mathematical representation of penetration depth in supersonic crossflow were discussed in this paper. A series of numerical simulations were carried out in both cold inflow (Tt = 300 K) and high enthalpy inflow (Tt = 1680 K). Based on the Euler-Lagrange method, the evaporation and diffusion process of liquid kerosene under different inflow conditions were studied. The mathematical representation of kerosene vapor penetration depth was obtained by convolution method. By analyzing the influence of different evaporation processes on the penetration depth of kerosene vapor, the penetration law of kerosene vapor with evaporation was revealed. The results show that the penetration process of kerosene is not only affected by the injection momentum ratio, but also the evaporation momentum ratio is an important factor affecting the penetration depth. The total penetration depth of kerosene vapor is composed of liquid kerosene penetration and penetration gain due to kerosene evaporation. And the mathematical expression of quantitative analysis was obtained by derivation. Making the local evaporation momentum of kerosene evenly distributed, extending the action distance and expanding the evaporation range are important ways to increase the penetration depth. The investigation in this paper plays an important role in explaining the diffusion mechanism and quantitative analysis of kerosene vapor with evaporation.