Abstract
Models derived from the free swirl theory, forced swirl mathematical models, and regression models provide inaccurate predictions of the behavior of elbow flowmeters. To generate an accurate model, we employ the Navier–Stokes equation considering an orthogonal coordinate system according to a curved surface. Thereby, we derive a mathematical model to measure the parameters associated with elbow flowmeters. The effects of physical parameters such as geometric parameters, ratio of bend to diameter, and Reynolds number are investigated. We obtained a relative error below 0.5% upon comparison of the theoretical model calculations and experimental results. This indicates that the proposed model is accurate and useful for future research and industrial production design of elbow flowmeters.
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