Abstract
Surface instability of a swirling liquid sheet emanating from a centrifugal injector in presence of external and internal gas flows is studied in this paper. A three-dimensional flow for the liquid sheet and two-dimensional flows for external and internal gas flows are considered. The set of equations involved in this analysis differs from the earlier analyzes. In previous studies, a cylindrical liquid sheet has been considered to implement the linear theory but in this study, the linear stability theory is implemented on a cone-shaped liquid sheet for different cone angles. Actually more over than axial and tangential movements, the radial movements of liquid sheet and gas flows are considered in the present model. Due to complexity of the derived governing equations, semi-analytical and numerical methods were applied to solve them. The case study is oxidizer injector of rocket engines. Implementation of linear stability theory on a hollow cone-shaped liquid sheet better can predict instability phenomenon than the general linear stability analysis for this type of liquid sheets. The results show very close agreement with available experimental data.
Highlights
A liquid sheet instability and breakup which cause to atomize the liquid bulk has been applied in many industries such as combustion chambers, pharmaceutical products manufacturing, foods drying and specially rocket engines [1]
It displays result of the current linear stability analysis compared with experimental data of Sallam et al [25] and the breakup length predicted by linear stability analysis of Ibrahim [14]
Maximum growing rate rises when the cone angle becomes larger, and corresponding frequency or most unstable wave number declines to minor level
Summary
A liquid sheet instability and breakup which cause to atomize the liquid bulk has been applied in many industries such as combustion chambers, pharmaceutical products manufacturing, foods drying and specially rocket engines [1]. The forces on a liquid-gas interface in a spray that interacts are the inertia force, centrifugal force, viscous force, pressure and surface tension. These forces lead to grow the disturbances on the liquid sheet and break up it into ligaments [2]. Spray formation and its characteristics are controlled by the liquid sheet instability. Subsequent phenomena such as phase transform and heat/mass transfer processes are affected by the spray characteristics
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