Mathematical Modeling of a High Pressure Regulator With Safety Valve

2010 ◽  
Author(s):  
Amir R. Shahani ◽  
Ashkan Aryaei ◽  
Hamid Esmaili ◽  
Mosayeb Najar ◽  
Sirvan Mohammadi
Keyword(s):  
Mathematical Modeling ◽  
High Pressure ◽  
Steady State ◽  
Numerical Methods ◽  
Air Force ◽  
Safety Valve ◽  
Equation Of Motion ◽  
Pressure Regulator ◽  
Continuity Equations ◽  
Spring Force

In this article, the mathematical modeling of a high pressure regulator with its safety valve is presented. In the first step, the performance of regulator and safety valve are investigated, separately. After that, the safety valve is connected to the output port of air regulator and the output pressure’s variation is investigated. For analyzing of air regulator and safety valve’s operation, the equation of motion of internal parts, continuity equations for chamber and the equations related to mass flow rate which passing from diverse ducts in regulator are derived, respectively. The motion’s equation consists of inertia, controlling spring force, pressurized air force and coulombs friction terms. Because of nonlinearity and coupling, these equations are solved by using numerical methods and the results are presented. Finally, the results obtained in steady state are validated by testing.

scholarly journals MATHEMATICAL MODELING IN SOIL BIOKINETICS

2021 ◽  
Vol 12 (2) ◽  
Author(s):  
Mikhail Vladimirovich Glagolev
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Steady State ◽  
Numerical Methods ◽  
Computer Programs ◽  
Soil Science ◽  
State University ◽  
Moscow State University

This work is a report written at the suggestion of Ph.d. N. S. Panikov in 1985 when the author was a 2nd-year student of the Faculty of Soil Science of the M. V. Lomonosov Moscow State University. The report provides an example of a mathematical model of soil biokinetics and discusses numerical methods for solving its constituent equations. For the steady state, some useful computer programs are given, and for the non steady state, references to programs published in the literature are given.

Design Strategy of a High Pressure Regulator

2010 ◽  
Author(s):  
Amir R. Shahani ◽  
Ashkan Aryaei ◽  
Mosayeb Najar ◽  
Sirvan Mohammadi ◽  
Hamid Esmaili
Keyword(s):  
High Pressure ◽  
Mathematical Simulation ◽  
Thermal Effects ◽  
Constant Pressure ◽  
Trial And Error ◽  
Pressure Regulator ◽  
Element Analysis ◽  
Spring Force ◽  
Input Pressure ◽  
Good Agreement

The main purpose of this paper is to design a high pressure regulator which reduces an input pressure varying between 400 to 500 bars to 350 bars constant pressure. First of all, for mathematical simulation of regulator’s performance, the related equations were derived. Because of nonlinearity and coupling, these equations were solved by using numerical methods. Also, the effects of different parameters variation on regulator performance were investigated. One of the most important parameters in regulator performance is the preload of control spring. Deriving the maximum and minimum values of the spring force from the mathematical simulation, the proper spring was designed. In the next step, Finite element analysis, considering thermal effects, was performed using commercial software ABAQUS. To achieve sufficient safety factor, thicknesses were specified by trial and error. The results were in good agreement with the analytical solution.

Mathematical modeling of high pressure pneumatic drive pump

2020 ◽  
Vol 1 (1) ◽  
pp. 57-64
Author(s):  
N.A. ZHurkin ◽  
◽  
A.S. Donskoj ◽  
A.A. ZHarkovskij ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
High Pressure ◽  
Pneumatic Drive ◽  
Drive Pump

Analysis of Transient Two-Phase Flow in Pressure Safety Valve Outlet Headers

2018 ◽  
Author(s):  
Maral Taghva ◽  
Lars Damkilde
Keyword(s):  
Steady State ◽  
Shock Waves ◽  
High Speed ◽  
Two Phase Flow ◽  
Safety Valve ◽  
Strong Shock ◽  
Flow Property ◽  
Phase Flow ◽  
Transient Pressure ◽  
Two Phase

To protect a pressurized system from overpressure, one of the most established strategies is to install a Pressure Safety Valve (PSV). Therefore, the excess pressure of the system is relieved through a vent pipe when PSV opens. The vent pipe is also called “PSV Outlet Header”. After the process starts, a transient two-phase flow is formed inside the outlet header consisting of high speed pressurized gas interacting with existing static air. The high-speed jet compresses the static air towards the end tail of the pipe until it is discharged to the ambiance and eventually, the steady state is achieved. Here, this transient process is investigated both analytically and numerically using the method of characteristics. Riemann’s solvers and Godunov’s method are utilized to establish the solution. Propagation of shock waves and flow property alterations are clearly demonstrated throughout the simulations. The results show strong shock waves as well as high transient pressure take place inside the outlet header. This is particularly important since it indicates the significance of accounting for shock waves and transient pressure, in contrast to commonly accepted steady state calculations. More precisely, shock waves and transient pressure could lead to failure, if the pipe thickness is chosen only based on conventional steady state calculations.

scholarly journals A model of the injection moulding process

1995 ◽  
Vol 37 (1) ◽  
pp. 1-15 ◽  
Author(s):  
J. Whale ◽  
N. Fowkes ◽  
G. Hocking ◽  
D. Hill
Keyword(s):  
High Pressure ◽  
Steady State ◽  
Injection Moulding ◽  
Temperature Profiles ◽  
Average Pressure ◽  
Moulding Process ◽  
Injection Moulding Process ◽  
Steady State Model ◽  
The Relationship ◽  
Average Pressure Gradient

AbstractThis paper is concerned with the injection moulding process, in which hot molten plastic is injected under high pressure into a thin cold mould. Assuming that the velocity and temperature profiles across the mould maintain their shape, a simple steady state model to describe the behaviour of a Newtonian fluid during the filling stage is developed. Various phenomena of the process are examined, including the formation of a layer of solid plastic along the walls of the mould, and the relationship between the flux of liquid plastic through the mould and the average pressure gradient along the mould. In any given situation, it is shown that there is a range of pressures and injection temperatures which will give satisfactory results.

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