Abstract

Liquid jet injected into transverse subsonic gaseous flow has been widely utilized in many industrial applications. It is useful to determine the spatial distribution of generated droplets in the near-field region for high-efficiency combustion. In this paper, we propose a simplified model to predict droplet spatial distribution in transverse subsonic gaseous flow. Linear stability analysis has been used to determine the disturbance growth rate on the surface of a liquid column. When the amplitude of disturbance is of the same order of magnitude as jet radius, the liquid jet breaks up into ligaments. We can make an assumption that the generation rate of small droplet equals to liquid breakup rates, which varies with a spatial location under this circumstance. Combining these relations with the definition of SMD (Sauter mean diameter), a semitheoretical relation to evaluate droplet spatial distribution along the liquid column can be established. The present model has been compared with empirical relation based on experiments under different conditions. Results indicate that in the surface breakup region, the current model shows great consistency with experimental observations while there exists a relatively large discrepancy between the current model and experimental observation in the column breakup region because of its strong nonlinear effect near the breakup point. In addition, the effects of flow parameters on droplet size spatial distribution have been investigated.

Highlights

  • Liquid jet injected into a transverse gaseous flow is widely used in many industrial applications like scramjet in hypersonic vehicles [1,2,3,4,5,6]

  • The present paper concentrates on the characteristics of the primary breakup of liquid injected into a transverse gaseous flow

  • This paper established a semitheoretical model to predict droplet size spatial distribution along the liquid column in the surface breakup region of liquid jet exposed to subsonic transverse crossflow

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Summary

Introduction

Liquid jet injected into a transverse gaseous flow is widely used in many industrial applications like scramjet in hypersonic vehicles [1,2,3,4,5,6]. Amighi and Ashgriz [17] provided plenty of experimental data of atomization processes and determined the correlation between trajectories of water jet injected into subsonic crossflow air and different flow parameters. They utilized the laser light sheet illumination technique and shadowgraphy to establish a relation between global droplet size and various parameters like jet velocity, air temperature, and injector diameter [18]. It is well known that a liquid jet goes through a series of atomization processes and became a group of tiny droplets It is quite significant for a subsequent combustion process to determine the distribution of Sauter mean diameter (SMD) in a flow field. The effect of flow parameters like injection velocity and transverse gaseous velocity on droplet size spatial distribution will be investigated as well

The Droplet Size Spatial Distribution Model
Results and Discussion
Conclusion

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