Calculation and Optimization of Volumetric Efficiency of Aviation External Gear Pump

Jing Ma, Yuan Xu
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Abstract

The power consumption of aviation gear pump has a direct impact on the performance of aero-engine. To improve the efficiency of aviation external gear pump, this paper analyses the leakage of gear pump, and calculates the leakage of axial, radial clearance, gear face meshing clearance, and the elastic loss of liquid compression. Mathematical models of volumetric efficiency are established including the effect of temperature and pressure. Comparing the theoretical value with experimental results, the effectiveness of the models is verified with the error less than 5%. On this basis, the design variables of gear pump are optimized with the maximum theoretical displacement as the optimization objective function. The simulation results show significant volumetric efficiency improvement of the external gear pump. And some suggestions on actual products design and analysis in the aviation fuel device are proposed accordingly. External gear pump is widely used in aviation as the main fuel pump, and oil transfer pump, booster pump and return pump of lubricating oil system in aviation power plant, and as the main hydraulic pump in aircraft hydraulic system. With the development of aviation power plant, high-pressure, low pulsation, low noise and large displacement have become the development trend of gear pump [1]. In order to reduce the power consumption of aeroengine, the total efficiency of aero fuel pump is required to be optimized, and the volumetric efficiency of gear pump must be improved accordingly. Various researches in this field mainly studied the improvement of volumetric efficiency and the solution to leakage problem respectively. The method of improving gear pump volumetric efficiency in engineering is studied in [2]. The leakage problem of axial clearance of gear pump is analysed and a new processing technology is proposed in [3]. The mathematical model of leakage in external gear pump is established in [4][5]. And the model of volumetric efficiency of gear pump by experiment is studied in [6][7]. Few studies are taking a holistic view of the problem. Therefore, by establishing and verifying the mathematical model of volume efficiency, the paper proposes a possible integrated method to optimize the volumetric efficiency with theoretical solution to the leakage problem and achieve energy saving consequently.
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航空外啮合齿轮泵容积效率的计算与优化
航空齿轮泵的功率消耗直接影响到航空发动机的性能。为了提高航空外啮合齿轮泵的工作效率,对齿轮泵的泄漏量进行了分析,计算了齿轮泵轴向、径向间隙、齿面啮合间隙的泄漏量以及液体压缩的弹性损失。建立了考虑温度和压力影响的体积效率数学模型。将理论值与实验结果进行比较,验证了模型的有效性,误差小于5%。在此基础上,以最大理论位移为优化目标函数,对齿轮泵的设计变量进行优化。仿真结果表明,外啮合齿轮泵的容积效率显著提高。并对航空燃油装置的实际产品设计和分析提出了相应的建议。外啮合齿轮泵广泛应用于航空领域,作为航空动力装置润滑油系统的主燃油泵、输油泵、增压泵和回油泵,并作为飞机液压系统的主液压泵。随着航空动力装置的发展,高压、低脉动、低噪声、大排量已成为齿轮泵[1]的发展趋势。为了降低航空发动机的功率消耗,需要优化航空燃油泵的总效率,相应地提高齿轮泵的容积效率。该领域的各种研究主要集中在提高容积效率和解决泄漏问题上。研究了工程上提高齿轮泵容积效率的方法。分析了齿轮泵轴向间隙的泄漏问题,提出了一种新的加工工艺。建立了外啮合齿轮泵泄漏的数学模型。并通过实验研究了齿轮泵容积效率模型。很少有研究从整体上看待这个问题。因此,本文通过对容积效率数学模型的建立和验证,提出了一种将容积效率优化与泄漏问题的理论解相结合,从而实现节能的可能方法。
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