PumpLinx 泵的泄漏

Figure 3 shows the results for PumpLinx using 1 and 3 layers of cells, as compared with the analytical solution. Single Layer Model: The results show that the single layer over-predicts by a factor of three for any given gap clearance (Figure 3). In terms of the accuracy of the gap clearance, assuming a 20 micron height gap and modeling with a single cell predicts the same leakage as would be expected analytically for a ~30 micron gap. Assuming a 34 micron height gap and modeling with a single cell predicts the same leakage as would be expected analytically for a ~50 micron gap. Thus, the error of the Single Layer Model is equivalent to an inaccuracy of approximately 1/3 of the gap height. Three Layer Model: As expected, three layers in the gap are better able to resolve the velocity profile and provide a better prediction. The accuracy of the three layer calculation is within twenty percent of the analytical solution. In terms of gap accuracy, the error of the three layer model corresponds to a clearance accuracy of approximately 10%.
Q
4b 3 p , r2 3 ln r1
where b is half the gap height, p is the pressure difference between the inner radius, r1, and outer radius, r2, and is the viscosity.
图 2 叶片泵
图 3 外齿轮泵
图 4 新月形内齿轮泵 同时 Pumplinx 可考虑齿轮泵的泄漏问题。无需预先在 CAD 中建立泄漏的模型。仅需要 在转子网格设置“Create Template Mesh”－>advanced mode 中设定泄漏油层的厚度、内、 外径，内、外径泄漏油层的厚度，左图中的转子会自动增加漏油层的几何和网格，如图 6 所示。
The radial volumetric flow, Q , between two circular disks can be computed analytically using the expression (Ref: Transport Phenomena, “Bird, Stewart, and Lightfoot,” Wiley & Sons, ISBN 0 471 07392 X, p. 114.):
PumpLinx 中泵的泄漏层 泵专业软件 Pumplinx 使用“Create Template Mesh”来生成泵的转子区的网格。通过“Create Template Mesh”指定内/外齿轮、转子/叶片、主/从动齿轮对转子区的网格进行化分，转子 区的网格均为结构化网格，如下图所示。
图 1 摆线泵
图 5 齿轮泄漏油层参数设置
图 6 不考虑泄漏时的摆线泵可划分 1～3 层，泄漏油层的厚度最窄可设置为 2 微米。 同样柱塞泵的泄漏层如下图所示
图 8 无泄漏柱塞泵
图 9 泄漏柱塞泵
图 10 环形泄漏层(3 层网格)
Sensitivity Study The axial gap creation option in the Axial Piston Pump template in PumpLinx was used to generate an annular axial gap. The pump template was then turned off and the pump volumes deleted, leaving behind only the gap for sensitivity studies, as shown in Figure 2. The height of the gap was modified using scaling under the ”Transform Geometry or Grid” option. The inner radius was 0.05m and the outer radius 0.10m. The pressure variation from the inner to outer radius was 5e5 Pa and the viscosity 0.007 kg/m-s. The density was 800 kg/cu-meter. Various gap heights were considered, ranging from 1 micron to 50 microns using both single and triple layers in the gap. The predicted leakage rates were then compared with the analytical solution. Results