# Mathematical Modelling of a Hydraulic Ram Pump System

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Izvoz citacije: ABNT
```FILIPAN, Veljko ;VIRAG, Zdravko ;BERGANT, Anton .
Mathematical Modelling of a Hydraulic Ram Pump System.
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 49, n.3, p. 137-149, july 2017.
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/mathematical-modelling-of-a-hydraulic-ram-pump-system/>. Date accessed: 05 jun. 2020.
doi:http://dx.doi.org/.```
```Filipan, V., Virag, Z., & Bergant, A.
(2003).
Mathematical Modelling of a Hydraulic Ram Pump System.
Strojniški vestnik - Journal of Mechanical Engineering, 49(3), 137-149.
doi:http://dx.doi.org/```
```@article{.,
author = {Veljko  Filipan and Zdravko  Virag and Anton  Bergant},
title = {Mathematical Modelling of a Hydraulic Ram Pump System},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {49},
number = {3},
year = {2003},
keywords = {hydraulic rams; pumping systems; water hammer; method of characteristics - MOC; },
abstract = {In this paper we present the mathematical modelling of a hydraulic ram rump (HRP) system and an explanation of the simplified working cycle of its action. The flow in the HRP system is unsteady; therefore, unsteady pipe-flow equations and the method of characteristics (MOC) are given. The mathematical modelling of particular components of the HRP system is explained in detail. The drive and delivery pipes are modelled by a fixed grid MOC, and the supply and delivery tanks are the boundary conditions open reservoirs with a constant water level. The HRP is modelled as a unit boundary condition describing the physics of its action. This boundary condition consists of 11 equations with 11 dependent variables and is solved by an iterative procedure for each time step of the computational run. The derived model is programmed for a digital computer. A computer simulation using input data from the literature is made and the results are presented in the form of pressure and velocity vs. time graphs.},
issn = {0039-2480},	pages = {137-149},	doi = {},
url = {https://www.sv-jme.eu/sl/article/mathematical-modelling-of-a-hydraulic-ram-pump-system/}
}```
```Filipan, V.,Virag, Z.,Bergant, A.
2003 July 49. Mathematical Modelling of a Hydraulic Ram Pump System. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 49:3```
```%A Filipan, Veljko
%A Virag, Zdravko
%A Bergant, Anton
%D 2003
%T Mathematical Modelling of a Hydraulic Ram Pump System
%B 2003
%9 hydraulic rams; pumping systems; water hammer; method of characteristics - MOC;
%! Mathematical Modelling of a Hydraulic Ram Pump System
%K hydraulic rams; pumping systems; water hammer; method of characteristics - MOC;
%X In this paper we present the mathematical modelling of a hydraulic ram rump (HRP) system and an explanation of the simplified working cycle of its action. The flow in the HRP system is unsteady; therefore, unsteady pipe-flow equations and the method of characteristics (MOC) are given. The mathematical modelling of particular components of the HRP system is explained in detail. The drive and delivery pipes are modelled by a fixed grid MOC, and the supply and delivery tanks are the boundary conditions open reservoirs with a constant water level. The HRP is modelled as a unit boundary condition describing the physics of its action. This boundary condition consists of 11 equations with 11 dependent variables and is solved by an iterative procedure for each time step of the computational run. The derived model is programmed for a digital computer. A computer simulation using input data from the literature is made and the results are presented in the form of pressure and velocity vs. time graphs.
%U https://www.sv-jme.eu/sl/article/mathematical-modelling-of-a-hydraulic-ram-pump-system/
%0 Journal Article
%R
%& 137
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 49
%N 3
%@ 0039-2480
%8 2017-07-07
%7 2017-07-07
```
```Filipan, Veljko, Zdravko  Virag, & Anton  Bergant.
"Mathematical Modelling of a Hydraulic Ram Pump System." Strojniški vestnik - Journal of Mechanical Engineering [Online], 49.3 (2003): 137-149. Web.  05 Jun. 2020```
```TY  - JOUR
AU  - Filipan, Veljko
AU  - Virag, Zdravko
AU  - Bergant, Anton
PY  - 2003
TI  - Mathematical Modelling of a Hydraulic Ram Pump System
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  -
KW  - hydraulic rams; pumping systems; water hammer; method of characteristics - MOC;
N2  - In this paper we present the mathematical modelling of a hydraulic ram rump (HRP) system and an explanation of the simplified working cycle of its action. The flow in the HRP system is unsteady; therefore, unsteady pipe-flow equations and the method of characteristics (MOC) are given. The mathematical modelling of particular components of the HRP system is explained in detail. The drive and delivery pipes are modelled by a fixed grid MOC, and the supply and delivery tanks are the boundary conditions open reservoirs with a constant water level. The HRP is modelled as a unit boundary condition describing the physics of its action. This boundary condition consists of 11 equations with 11 dependent variables and is solved by an iterative procedure for each time step of the computational run. The derived model is programmed for a digital computer. A computer simulation using input data from the literature is made and the results are presented in the form of pressure and velocity vs. time graphs.
UR  - https://www.sv-jme.eu/sl/article/mathematical-modelling-of-a-hydraulic-ram-pump-system/```
```@article{{}{.},
author = {Filipan, V., Virag, Z., Bergant, A.},
title = {Mathematical Modelling of a Hydraulic Ram Pump System},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {49},
number = {3},
year = {2003},
doi = {},
url = {https://www.sv-jme.eu/sl/article/mathematical-modelling-of-a-hydraulic-ram-pump-system/}
}```
```TY  - JOUR
AU  - Filipan, Veljko
AU  - Virag, Zdravko
AU  - Bergant, Anton
PY  - 2017/07/07
TI  - Mathematical Modelling of a Hydraulic Ram Pump System
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 49, No 3 (2003): Strojniški vestnik - Journal of Mechanical Engineering
DO  -
KW  - hydraulic rams, pumping systems, water hammer, method of characteristics - MOC,
N2  - In this paper we present the mathematical modelling of a hydraulic ram rump (HRP) system and an explanation of the simplified working cycle of its action. The flow in the HRP system is unsteady; therefore, unsteady pipe-flow equations and the method of characteristics (MOC) are given. The mathematical modelling of particular components of the HRP system is explained in detail. The drive and delivery pipes are modelled by a fixed grid MOC, and the supply and delivery tanks are the boundary conditions open reservoirs with a constant water level. The HRP is modelled as a unit boundary condition describing the physics of its action. This boundary condition consists of 11 equations with 11 dependent variables and is solved by an iterative procedure for each time step of the computational run. The derived model is programmed for a digital computer. A computer simulation using input data from the literature is made and the results are presented in the form of pressure and velocity vs. time graphs.
UR  - https://www.sv-jme.eu/sl/article/mathematical-modelling-of-a-hydraulic-ram-pump-system/```
```Filipan, Veljko, Virag, Zdravko, AND Bergant, Anton.
"Mathematical Modelling of a Hydraulic Ram Pump System" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 49 Number 3 (07 July 2017)```

#### Inštitucije

• University of Zagreb, Faculty of Chemical Engineering and Technology, Croatia
• University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Croatia
• Litostroj E.I. Ltd., Ljubljana, Slovenia

#### Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 49(2003)3, 137-149

In this paper we present the mathematical modelling of a hydraulic ram rump (HRP) system and an explanation of the simplified working cycle of its action. The flow in the HRP system is unsteady; therefore, unsteady pipe-flow equations and the method of characteristics (MOC) are given. The mathematical modelling of particular components of the HRP system is explained in detail. The drive and delivery pipes are modelled by a fixed grid MOC, and the supply and delivery tanks are the boundary conditions open reservoirs with a constant water level. The HRP is modelled as a unit boundary condition describing the physics of its action. This boundary condition consists of 11 equations with 11 dependent variables and is solved by an iterative procedure for each time step of the computational run. The derived model is programmed for a digital computer. A computer simulation using input data from the literature is made and the results are presented in the form of pressure and velocity vs. time graphs.

hydraulic rams; pumping systems; water hammer; method of characteristics - MOC;