Design and Experimental Study of a Tetragonal Rotor Pump Based on Wankel Geometry
Abstract
:1. Introduction
2. Structure and Working Principle of the TRP
3. Mathematical Description of the Pump Geometry
3.1. Mathematical Equations of Chamber Profile
3.2. Mathematical Equations of Rotor Profile
3.3. Shape Factor K
4. Kinematic Analysis of the TRP
4.1. Velocity Analysis of the TRP
4.2. Acceleration Analysis of TRP
5. Flow Rate of the TRP
5.1. Theoretical Flow Rate
5.2. Specific Flow Rate
5.3. Flow Rate Irregularity
6. Experiments
6.1. Experimental Design
6.2. The Impact of Shape Factor on Flow Rate
6.3. The Impact of Shape Factor on Pressure
6.4. Observation of Flow Field in the TRP
7. Conclusions
- (1)
- First, the closed equation of the chamber profile of the chamber was derived, which can be described by mathematically creating an epicycloid. Then, the closed equation of the rotor profile was derived. The rotor profile is the conjugate envelope of the chamber profile.
- (2)
- The chamber profile and rotor profile can be determined by the eccentric distance (e) and the generating radius (R), and their ratio is defined as the shape factor (K). According to the industry-standard K-value range of 6~8, in this study, we analyzed the influence of four groups with different shape factors K (5, 6, 7, and 8) on the kinematic characteristics, theoretical flow rate, and specific flow rate of the proposed tetragonal rotor pump.
- (3)
- We deduced the equations of rotor apex velocity and acceleration, which with the shape factor (K). Analysis of the influence of K on the kinematic characteristics shows that the higher the K value, the lower the fluctuation of the rotor apex velocity and the smaller the apex acceleration, which is conducive to reducing the interface wear between the rotor and the chamber.
- (4)
- We also deduced the equation of the theoretical flow rate, which changed with K. Because the difference between the maximum chamber area and the minimum chamber area () decreases as the value of K increases, the higher the K value, the lower the theoretical flow rate of the pump. Furthermore, we deduced the equation for the variation in specific flow rate relative to the shape factor (K). Our analysis shows that the lower the K value, the higher the specific flow, which means that the rotor per unit volume can pump more fluid, and the overall structure of the pump is more compact. We also derived the flow rate irregularity of a tetragonal rotor pump. Compared with existing rotary positive-displacement pumps (bicornous rotor pumps and triangular rotor pumps) based on the Wankel engine structure, the TRP has lower flow rate irregularity.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Acknowledgments
Conflicts of Interest
References
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Eccentricity (e) | Generating Radius ® | |
---|---|---|
Pump A (K = 5) | 5.6 | 28 |
Pump B (K = 6) | 4.666 | 28 |
Pump C (K = 7) | 4 | 28 |
Pump D (K = 8) | 3.5 | 28 |
Thickness of the Rotor | Intake/Discharge Port Size | Distance between the Intake Port and Discharge Port | |
---|---|---|---|
Pump A (K = 5) | 18 mm | Φ6 mm | 11 mm |
Pump B (K = 6) | 18 mm | Φ6 mm | 11 mm |
Pump C (K = 7) | 18 mm | Φ6 mm | 11 mm |
Pump D (K = 8) | 18 mm | Φ6 mm | 11 mm |
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Gui, Z.; Zhou, X.; Zeng, Y.; Zhang, F.; Huo, Y.; Zhang, W.; Ma, M.; Huang, X.; Zhang, J. Design and Experimental Study of a Tetragonal Rotor Pump Based on Wankel Geometry. Sensors 2022, 22, 6608. https://doi.org/10.3390/s22176608
Gui Z, Zhou X, Zeng Y, Zhang F, Huo Y, Zhang W, Ma M, Huang X, Zhang J. Design and Experimental Study of a Tetragonal Rotor Pump Based on Wankel Geometry. Sensors. 2022; 22(17):6608. https://doi.org/10.3390/s22176608
Chicago/Turabian StyleGui, Zhenzhen, Xiaosi Zhou, Yaohua Zeng, Fan Zhang, Yuxuan Huo, Weirong Zhang, Mingdong Ma, Xi Huang, and Jianhui Zhang. 2022. "Design and Experimental Study of a Tetragonal Rotor Pump Based on Wankel Geometry" Sensors 22, no. 17: 6608. https://doi.org/10.3390/s22176608