Pressure Control of High Pressure Tubing Based on Fluid Mechanics

Abstract

This paper studies the problem of the constant pressure control for high pressure tubing. The main factors affecting the pressure change in high pressure oil pipe are the opening time of check valve and the cam angular velocity. Based on the theory of fluid mechanics, ordinary differential equation and Fourier series, the flow-pressure model and pressure-cam angular velocity model are established, respectively. Furthermore, the above model is extended to the case of multiple nozzles. These three models accurately express the functional relationship between the fuel flow rate, the pressure in the tubing and the cam angular velocity. According to the established models, the pressure in the high-pressure oil pipe can be accurately controlled by adjusting some parameters. Finally, a simulation example is given to verify the effectiveness of the proposed method.

KEYWORDS:

• Fluid mechanics
• Fourier series
• High pressure tubing
• Ordinary differential equation
• Pressure control

Additional information

Notes on contributors

Yuhong Tao

Yuhong Tao is currently pursuing the bachelor’s degree in the Department of Mathematics and Applied Mathematics, Taizhou University, China. Her research interest is optimization and modeling. Email: [email protected]

Zhixin Wang

Zhixin Wang is currently pursuing the bachelor’s degree in the Department of Mathematics and Applied Mathmematics, Taizhou University, China. His research interest is differential equation modeling. Email: [email protected]

Shengang Cai

Shengang Cai is currently pursuing the bachelor’s degree in the Department of Mathematics and Applied Mathematics, Taizhou University, China. His research interest is numerical calculation. Email: [email protected]

Zhile Xia

Zhile Xia received the bachelor’s degree in mathematics and applied mathematics in 2003 from Huaiyin Norm University. Received ME degree in 2006, and PhD degree in 2016 in operational research and control from Xidian University, respectively. Since 2006, he is working in the Department of Mathematics, Taizhou University. His research interests include nonlinear system control and mathematical modeling.