The Relation Between the Coefficient of Discharge and Different Hydraulic and Geometric Parameters for a Vertical Drop Structure Using CFD

Authors

  • Fadhel Abdulabbas Hassan, Tagreed Hameed Khlif, Hussein Abdulmuttaleb Alikhan

DOI:

https://doi.org/10.17762/msea.v71i4.893

Abstract

This study shed light on the most important dissipation energy structures which exposed for the vertical drop of water. The case study in this research is built on the base of Sarda fall type specifications. The models were simulated by ANSYS of fluid fluent software (Computational Fluid Dynamic).

Five suggested models differ from each other with a height of drop (ydr) equals 0.25m, 0.35 m, 0.45 m, 0.55 m and 0.65 m. are used. Each model is tested under five values of inlet velocities (Vu) which are 0.4 m/s, 0.5 m/s, 0.6 m/s, 0.7 m/s and 0.8 m/s as a requirement to build the CFD model. The main aim of this study is to derive a non – dimensional relationship between the coefficient of discharge (Cd) for the flow over the crest of the drop and the other hydraulic and geometric parameters such as the depths of flow upstream the drop (yup), depth of water in the middle of cistern (yci), depth of water after the cistern and downstream the structure (ydo) and Froude number downstream the structure (Fr­). All these parameters were processed in Buckingham theorem to obtain a non – dimensional parameters and then subjected them in SPSS v25 to get the non – dimensional formula. This equation is the first one that calculates the coefficient of discharge over a broad crested weir (crest of the drop) based on several hydraulic and geometric variables, unlike the traditional equations for calculating the value of Cd. This relation indicates a positive relation between Cd and the other parameters (i.e. yup, yci, ydo and Fr) and this also was confirmed by the results of laboratory experiments for the purpose of verifying the results of the model.  The coefficient of determination (R2) was developed from the relationship yielded a good correlation. 

Downloads

Published

2022-09-22

How to Cite

Fadhel Abdulabbas Hassan, Tagreed Hameed Khlif, Hussein Abdulmuttaleb Alikhan. (2022). The Relation Between the Coefficient of Discharge and Different Hydraulic and Geometric Parameters for a Vertical Drop Structure Using CFD. Mathematical Statistician and Engineering Applications, 71(4), 3331–3344. https://doi.org/10.17762/msea.v71i4.893

Issue

Section

Articles