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چکیده
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The present research aimed to develop a model for predicting the optimal efficiency of Archimedes Screw Turbines (ASTs) under different conditions using Response Surface Methodology (RSM). In RSM, the effect of several independent parameters (inputs) on a response parameter (output) is investigated. Among different geometric and flow parameters of an AST, screw’s outer diameter, blade number, inclination angle, rotation speed, available head, and flow were used to define the efficiency of ASTs. The well-known Buckingham Pi theorem was used to describe non-dimensional relationships between independent and response parameters. A Face-Centered Central Composite Design response surface was used for the investigation. To this end, the desired ranges of dimensionless effective parameters were considered. Computational Fluid Dynamics (CFD) was employed to determine AST’s efficiency in the considered ranges. Finally, a quadratic prediction model was developed, with R2 of 0.9755 and a maximum P-value of 0.0001. The maximum value of the relative error was 4.75%, and the maximum efficiency was obtained as 83.4% while blade number, inclination angle, dimensionless diameter were 4, 27◦, and 0.731, respectively. The accuracy of the developed model, which is only valid for small laboratory-scale Archimedes screws due to the utilized laboratory-scale screw data, was reasonable.
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