A numerical model for calculating velocity distribution in cross-section of an open channel
Abstract Flow velocity in open channels is a fundamental hydraulic parameter with wide-ranging applications, including the development of rating curves and the study of sediment transport. While some river engineering projects may only require the calculation of average flow velocity, others, such a...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-02-01
|
| Series: | Applied Water Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s13201-023-02090-2 |
| _version_ | 1827321307173224448 |
|---|---|
| author | Hanieh Kakavandi Mohammad Mehdi Heidari Rasool Ghobadian |
| author_facet | Hanieh Kakavandi Mohammad Mehdi Heidari Rasool Ghobadian |
| author_sort | Hanieh Kakavandi |
| collection | DOAJ |
| description | Abstract Flow velocity in open channels is a fundamental hydraulic parameter with wide-ranging applications, including the development of rating curves and the study of sediment transport. While some river engineering projects may only require the calculation of average flow velocity, others, such as the design of hydraulic structures and stable channels, as well as the assessment of boundary shear stress, necessitate a more comprehensive understanding of flow dynamics, including the two-dimensional velocity distribution within open channels. To address this, various mathematical models have been proposed for estimating the two-dimensional distribution of flow velocity across transverse and depth directions. However, these models often come with complexities that hinder their practical application. In this research, we introduce a simplified numerical model that combines simplified Navier–Stokes equations with an eddy viscosity formula. This innovative approach aims to estimate velocity distribution in both rectangular and trapezoidal channels. The accuracy of our developed model hinges on the momentum transfer coefficient used in the eddy viscosity formula. Through the execution of the numerical model and the utilization of observational data, we determined the optimal value of the momentum transfer coefficient to be 0.241. To validate the effectiveness of our numerical model, we compared its predictions with laboratory data encompassing diverse hydraulic conditions. The results demonstrated a high level of accuracy, with the calculated velocity distribution and flow discharge differing by no more than 7.6% and 6.8%, respectively. |
| first_indexed | 2024-03-07T14:47:50Z |
| format | Article |
| id | doaj.art-95c64ff523b0470481790de00239e0c1 |
| institution | Directory Open Access Journal |
| issn | 2190-5487 2190-5495 |
| language | English |
| last_indexed | 2024-04-25T01:04:01Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Applied Water Science |
| spelling | doaj.art-95c64ff523b0470481790de00239e0c12024-03-10T12:19:14ZengSpringerOpenApplied Water Science2190-54872190-54952024-02-0114311110.1007/s13201-023-02090-2A numerical model for calculating velocity distribution in cross-section of an open channelHanieh Kakavandi0Mohammad Mehdi Heidari1Rasool Ghobadian2Department of Water Engineering, Razi UniversityDepartment of Water Engineering, Razi UniversityDepartment of Water Engineering, Razi UniversityAbstract Flow velocity in open channels is a fundamental hydraulic parameter with wide-ranging applications, including the development of rating curves and the study of sediment transport. While some river engineering projects may only require the calculation of average flow velocity, others, such as the design of hydraulic structures and stable channels, as well as the assessment of boundary shear stress, necessitate a more comprehensive understanding of flow dynamics, including the two-dimensional velocity distribution within open channels. To address this, various mathematical models have been proposed for estimating the two-dimensional distribution of flow velocity across transverse and depth directions. However, these models often come with complexities that hinder their practical application. In this research, we introduce a simplified numerical model that combines simplified Navier–Stokes equations with an eddy viscosity formula. This innovative approach aims to estimate velocity distribution in both rectangular and trapezoidal channels. The accuracy of our developed model hinges on the momentum transfer coefficient used in the eddy viscosity formula. Through the execution of the numerical model and the utilization of observational data, we determined the optimal value of the momentum transfer coefficient to be 0.241. To validate the effectiveness of our numerical model, we compared its predictions with laboratory data encompassing diverse hydraulic conditions. The results demonstrated a high level of accuracy, with the calculated velocity distribution and flow discharge differing by no more than 7.6% and 6.8%, respectively.https://doi.org/10.1007/s13201-023-02090-2Finite volume methodUnstructured triangular meshEddy viscosityWall-function approach |
| spellingShingle | Hanieh Kakavandi Mohammad Mehdi Heidari Rasool Ghobadian A numerical model for calculating velocity distribution in cross-section of an open channel Applied Water Science Finite volume method Unstructured triangular mesh Eddy viscosity Wall-function approach |
| title | A numerical model for calculating velocity distribution in cross-section of an open channel |
| title_full | A numerical model for calculating velocity distribution in cross-section of an open channel |
| title_fullStr | A numerical model for calculating velocity distribution in cross-section of an open channel |
| title_full_unstemmed | A numerical model for calculating velocity distribution in cross-section of an open channel |
| title_short | A numerical model for calculating velocity distribution in cross-section of an open channel |
| title_sort | numerical model for calculating velocity distribution in cross section of an open channel |
| topic | Finite volume method Unstructured triangular mesh Eddy viscosity Wall-function approach |
| url | https://doi.org/10.1007/s13201-023-02090-2 |
| work_keys_str_mv | AT haniehkakavandi anumericalmodelforcalculatingvelocitydistributionincrosssectionofanopenchannel AT mohammadmehdiheidari anumericalmodelforcalculatingvelocitydistributionincrosssectionofanopenchannel AT rasoolghobadian anumericalmodelforcalculatingvelocitydistributionincrosssectionofanopenchannel AT haniehkakavandi numericalmodelforcalculatingvelocitydistributionincrosssectionofanopenchannel AT mohammadmehdiheidari numericalmodelforcalculatingvelocitydistributionincrosssectionofanopenchannel AT rasoolghobadian numericalmodelforcalculatingvelocitydistributionincrosssectionofanopenchannel |