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Open Access Library Journal

2020, Volume 7, e6369

ISSN Online: 2333-9721

ISSN Print: 2333-9705

DOI:

10.4236/oalib.1106369 May 18, 2020 1

Open Access Library Journal

The Pressure Control Strategy Adjustment of

High-Pressure Oil Pipe

Yeping Liang

, Zhezhi Jin

College of Science, Yanbian University, Yanji, China

College of Economics and Management, Yanbian University, Yanji, China

Abstract

This paper is based on the background of China Undergraduate Mathemati-

cal Contest in Modeling Competition A in 2019.

Corresponding analysis

based on the data given in this question, calculated

changes in pressure in the

high-

pressure tubing according to the different operating conditions for fuel

entry and spewing out,

in order to determine some operating parameters of

the fuel injection system, so as to improve engine efficiency and economic ef-

ficiency. The differential equation is constructed by the mass conservation

formula under the corresponding conditions, and using MATLAB to imple-

ment Runge-Kutta methods to find the numerical solution of the corres-

ponding differential equation.

Subject Areas

Chemical Engineering & Technology, Fluid Mechanics, Petrochemistry

Keywords

Mass Conservation, Differential Equation, MATLAB, Runge-Kutta Methods

1. Introduction

Since the second industrial revolution, the engine has always been the driving

car, aircraft, rockets and a series of large-scale equipment core, so the produc-

tion and manufacturing technology of engine have been an important indicator

of the strength of the manufacturing industry in an industrial modernization

country, the study of high efficiency, more stable engine is an important work of

national industrial development, which is the most extensive application of fuel

engines, the longest development time. Fuel entry and spewing high-pressure

tubing are the basis for many fuel engine slots, and the intermittent working

How to cite this paper:

Liang, Y.P. and Jin

Z.Z.

(2020)

The Pressure Control Strategy

Adjustment of High

-Pressure Oil Pipe.

Open

Access Library Journal

: e6369.

https://doi.org/10.4236/oalib.1106369

Received:

April 28, 2020

Accepted:

May 15, 2020

Published:

May 18, 2020

20 by author(s) and Open

Access Library Inc

This work is licensed under the Creative

Commons Attribution International

License (CC BY

4.0).

http://creativecommons.org/licenses/by/4.0/

Open Access

Y. P. Liang, Z. Z. Jin

DOI:

10.4236/oalib.1106369 2

Open Access Library Journal

process of fuel entry and fuel spewing out can cause changes in pressure in the

high-pressure tubing [1], which in turn affects the amount of fuel ejected and

thus the efficiency of the engine. Therefore, we will establish a model to stabilize

the internal pressure of the high-pressure oil pipe by controlling the mechanism

of the injectors, so as to achieve low-cost stability of the injection volume and

improve the efficiency of engine efficiency [1].

2. Problem

In the case of a single nozzle, after a series of basic information such as the size

of the inner cavity of a certain type of high-pressure oil pipe, the size of the oil

supply intake, the operation of the injector, etc., the model is established to make

the pressure in the high-pressure oil pipe as stable as possible by reasonably set-

ting the length of each opening of the check valve. 100 MPa Further adjust the

opening time of the unidirectional valve to stabilize it from 100 MPa to 150 MPa

after the adjustment process of 2 s, 5 s and 10 s respectively (

Figure 1).

3. Solution to Problem

rail

represents high-pressure oil pump pressure,

int

stands for high-pressure

tubpressure pressure,

back

stands for injection back pressure,

pipe

stands for

intercept area of high-pressure tubing,

stands for pipe length [1].

Using Matlab to fit the data to the curve, in the case of high fitting degree, the

function relationship between elastic modulus

and pressure

, And because the

amount of pressure change in the fuel is proportional to the amount of density

change, the scale factor is

, and the differential equations are as follows:

( )

E fp=

(1)

(2)

( )

(3)

Numerical solution is obtained by using the fourth-order fifth-order Long-

er-Kuta method, and then the function relationship between density and pres-

sure

is recorded as curve fitting:

( )

(4)

Figure 1. The shape of pump.

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