Computational and Experimental Investigation for Optimizing Labyrinth Weir Design to Maximize Discharge Efficiency
摘要
In this study, W and circular planform labyrinth weir’s uncontrolled outflow features are analyzed with the main aim of developing and verifying a Finite Element Analysis (FEA) model for predicting discharge coefficients (Cd) and flow behaviours through the weirs. The Navier-Stokes equations and continuity were modelled with CFD, applying k-ε and k-ω SST turbulence models to enable flow separation and nappe interactions. A grid independence study was performed which verified numerical stability and appropriate boundary conditions were set to simulate experimental conditions. Discharge performance measurements were carried out in the laboratory for W and circular labyrinth weirs with different L/B ratios (1.0–1.976) and crest heights (P = 0.08 m, 0.10 m, and 0.12 m) and were obtained by the application of precise flow measurement techniques. A comparison of the experimental Cd values was conducted against the FEA outputs and the Empirical Model showed Mean Absolute Percentage Error of less than ± 5% with R² correlation greater than 0.98 confirming the model. It was observed that the performance of the weirs improved better with the increase of L/B ratio: the maximum improvement observed was 60% as compared to linear weirs. Flow visualization using velocity contours and pressure fields explained nappe behaviour, turbulence and energy dissipation characteristics. The validated FEA model is a powerful tool for the efficient and scalable optimization of labyrinth weir designs.