# A Two-Dimensional Mathematical Model of Suspended-Sediment Transport

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```KRZYK, Mario ;ČETINA, Matjaž .
A Two-Dimensional Mathematical Model of Suspended-Sediment Transport.
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 49, n.3, p. 173-184, july 2017.
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/a-two-dimensional-mathematical-model-of-suspended-sediment-transport/>. Date accessed: 28 jun. 2022.
doi:http://dx.doi.org/.```
```Krzyk, M., & Četina, M.
(2003).
A Two-Dimensional Mathematical Model of Suspended-Sediment Transport.
Strojniški vestnik - Journal of Mechanical Engineering, 49(3), 173-184.
doi:http://dx.doi.org/```
```@article{.,
author = {Mario  Krzyk and Matjaž  Četina},
title = {A Two-Dimensional Mathematical Model of Suspended-Sediment Transport},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {49},
number = {3},
year = {2003},
keywords = {mathematical model; materials transport; suspended sediment load; Ptuj lake; },
abstract = {After a brief review of the theoretical basis of the hydrodynamic characteristics of two-dimensional depth-averaged flow in a horizontal plane, in this paper we present an equation for suspended sediment transport. It is an advective-diffusion equation with an added source term that describes the concentration of a suspended sediment caused by sedimentation or erosion. The depth-averaged concentration of the suspended load is a result of an analysis of the transport equation in the vertical plane. The source-term definition is based on the transport equation in the vertical plane, which gives a characteristic concentration distribution of the suspended load with a minimum concentration at the surface and a maximum at the bottom of the bed. The calculation results depend on the difference between the inflow (calculated), depth-averaged concentration of the suspension and the averaged equilibrium suspension concentration in a numeric cell under certain hydrodynamic conditions. As an example of the application of the mathematical model, the problem of Ptuj lake (Slovenia) is presented. It is very exposed to the sedimentation of suspended sediment that is brought by the river Drava. The results of the measurements, the procedure of the hydrodynamic part of the mathematical model calibration and the results of the suspended-load module are presented.},
issn = {0039-2480},	pages = {173-184},	doi = {},
url = {https://www.sv-jme.eu/article/a-two-dimensional-mathematical-model-of-suspended-sediment-transport/}
}```
```Krzyk, M.,Četina, M.
2003 July 49. A Two-Dimensional Mathematical Model of Suspended-Sediment Transport. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 49:3```
```%A Krzyk, Mario
%A Četina, Matjaž
%D 2003
%T A Two-Dimensional Mathematical Model of Suspended-Sediment Transport
%B 2003
%9 mathematical model; materials transport; suspended sediment load; Ptuj lake;
%! A Two-Dimensional Mathematical Model of Suspended-Sediment Transport
%K mathematical model; materials transport; suspended sediment load; Ptuj lake;
%X After a brief review of the theoretical basis of the hydrodynamic characteristics of two-dimensional depth-averaged flow in a horizontal plane, in this paper we present an equation for suspended sediment transport. It is an advective-diffusion equation with an added source term that describes the concentration of a suspended sediment caused by sedimentation or erosion. The depth-averaged concentration of the suspended load is a result of an analysis of the transport equation in the vertical plane. The source-term definition is based on the transport equation in the vertical plane, which gives a characteristic concentration distribution of the suspended load with a minimum concentration at the surface and a maximum at the bottom of the bed. The calculation results depend on the difference between the inflow (calculated), depth-averaged concentration of the suspension and the averaged equilibrium suspension concentration in a numeric cell under certain hydrodynamic conditions. As an example of the application of the mathematical model, the problem of Ptuj lake (Slovenia) is presented. It is very exposed to the sedimentation of suspended sediment that is brought by the river Drava. The results of the measurements, the procedure of the hydrodynamic part of the mathematical model calibration and the results of the suspended-load module are presented.
%U https://www.sv-jme.eu/article/a-two-dimensional-mathematical-model-of-suspended-sediment-transport/
%0 Journal Article
%R
%& 173
%P 12
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 49
%N 3
%@ 0039-2480
%8 2017-07-07
%7 2017-07-07
```
```Krzyk, Mario, & Matjaž  Četina.
"A Two-Dimensional Mathematical Model of Suspended-Sediment Transport." Strojniški vestnik - Journal of Mechanical Engineering [Online], 49.3 (2003): 173-184. Web.  28 Jun. 2022```
```TY  - JOUR
AU  - Krzyk, Mario
AU  - Četina, Matjaž
PY  - 2003
TI  - A Two-Dimensional Mathematical Model of Suspended-Sediment Transport
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  -
KW  - mathematical model; materials transport; suspended sediment load; Ptuj lake;
N2  - After a brief review of the theoretical basis of the hydrodynamic characteristics of two-dimensional depth-averaged flow in a horizontal plane, in this paper we present an equation for suspended sediment transport. It is an advective-diffusion equation with an added source term that describes the concentration of a suspended sediment caused by sedimentation or erosion. The depth-averaged concentration of the suspended load is a result of an analysis of the transport equation in the vertical plane. The source-term definition is based on the transport equation in the vertical plane, which gives a characteristic concentration distribution of the suspended load with a minimum concentration at the surface and a maximum at the bottom of the bed. The calculation results depend on the difference between the inflow (calculated), depth-averaged concentration of the suspension and the averaged equilibrium suspension concentration in a numeric cell under certain hydrodynamic conditions. As an example of the application of the mathematical model, the problem of Ptuj lake (Slovenia) is presented. It is very exposed to the sedimentation of suspended sediment that is brought by the river Drava. The results of the measurements, the procedure of the hydrodynamic part of the mathematical model calibration and the results of the suspended-load module are presented.
UR  - https://www.sv-jme.eu/article/a-two-dimensional-mathematical-model-of-suspended-sediment-transport/```
```@article{{}{.},
author = {Krzyk, M., Četina, M.},
title = {A Two-Dimensional Mathematical Model of Suspended-Sediment Transport},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {49},
number = {3},
year = {2003},
doi = {},
url = {https://www.sv-jme.eu/article/a-two-dimensional-mathematical-model-of-suspended-sediment-transport/}
}```
```TY  - JOUR
AU  - Krzyk, Mario
AU  - Četina, Matjaž
PY  - 2017/07/07
TI  - A Two-Dimensional Mathematical Model of Suspended-Sediment Transport
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 49, No 3 (2003): Strojniški vestnik - Journal of Mechanical Engineering
DO  -
KW  - mathematical model, materials transport, suspended sediment load, Ptuj lake,
N2  - After a brief review of the theoretical basis of the hydrodynamic characteristics of two-dimensional depth-averaged flow in a horizontal plane, in this paper we present an equation for suspended sediment transport. It is an advective-diffusion equation with an added source term that describes the concentration of a suspended sediment caused by sedimentation or erosion. The depth-averaged concentration of the suspended load is a result of an analysis of the transport equation in the vertical plane. The source-term definition is based on the transport equation in the vertical plane, which gives a characteristic concentration distribution of the suspended load with a minimum concentration at the surface and a maximum at the bottom of the bed. The calculation results depend on the difference between the inflow (calculated), depth-averaged concentration of the suspension and the averaged equilibrium suspension concentration in a numeric cell under certain hydrodynamic conditions. As an example of the application of the mathematical model, the problem of Ptuj lake (Slovenia) is presented. It is very exposed to the sedimentation of suspended sediment that is brought by the river Drava. The results of the measurements, the procedure of the hydrodynamic part of the mathematical model calibration and the results of the suspended-load module are presented.
UR  - https://www.sv-jme.eu/article/a-two-dimensional-mathematical-model-of-suspended-sediment-transport/```
```Krzyk, Mario, AND Četina, Matjaž.
"A Two-Dimensional Mathematical Model of Suspended-Sediment Transport" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 49 Number 3 (07 July 2017)```

#### Affiliations

• University of Ljubljana, Faculty of Civil and Geodetic Engineering, Slovenia
• University of Ljubljana, Faculty of Civil and Geodetic Engineering, Slovenia

#### Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 49(2003)3, 173-184
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

After a brief review of the theoretical basis of the hydrodynamic characteristics of two-dimensional depth-averaged flow in a horizontal plane, in this paper we present an equation for suspended sediment transport. It is an advective-diffusion equation with an added source term that describes the concentration of a suspended sediment caused by sedimentation or erosion. The depth-averaged concentration of the suspended load is a result of an analysis of the transport equation in the vertical plane. The source-term definition is based on the transport equation in the vertical plane, which gives a characteristic concentration distribution of the suspended load with a minimum concentration at the surface and a maximum at the bottom of the bed. The calculation results depend on the difference between the inflow (calculated), depth-averaged concentration of the suspension and the averaged equilibrium suspension concentration in a numeric cell under certain hydrodynamic conditions. As an example of the application of the mathematical model, the problem of Ptuj lake (Slovenia) is presented. It is very exposed to the sedimentation of suspended sediment that is brought by the river Drava. The results of the measurements, the procedure of the hydrodynamic part of the mathematical model calibration and the results of the suspended-load module are presented.

mathematical model; materials transport; suspended sediment load; Ptuj lake;