An analytical investigation was conducted to examine how the mass flow is distributed into multiple flow circuits with partial contractions in flow passages. It is usually considered by conventional practices in fuel supply system of gas turbines that the fuel flow distribution in multiple fuel circuits is determined by the opening area of staging valves. This study extends this conventional concept by considering the coupled effect of staging valves with burner nozzles. A two-branch flow system was demonstrated to illustrate how the mass flow is distributed by the opening of staging valves and burner nozzles, and vice versa, i.e., how the staging valve opening scenario should be implemented to satisfy a prescribed flow split schedule. The concept accounting for the coupled effect was then applied to the fuel supply system of an industrial gas turbine combustor with multiple burner nozzles to design an opening scenario of the fuel staging valves.

进行了一项分析研究，以检查质量流量如何分配到多个流动回路中，并在流动通道中部分收缩。燃气轮机供油系统的常规做法通常认为，多燃料回路中的燃料流量分布是由分级阀的开口面积决定的。本研究通过考虑分级阀与燃烧器喷嘴的耦合效应扩展了这一传统概念。演示了一个两分支流系统，以说明质量流量如何通过分级阀和燃烧器喷嘴的打开进行分配，反之亦然，即应如何实施分级阀打开方案以满足规定的流量分流计划。