On hydraulic analysis of the main parameters of longitudinalcirculating flow

Recently in practice of engineering hydraulic structures spillways with a longitudinal-circulating flow are applied. The distinguished properties of longitudinal-circulating flows are a unique example of compatibility of flow type with technological purpose of a spillway structure. The hydraulic characteristics of flow (throughput capacity, velocity distribution, pressure distribution, cavitation analysis, etc.) are determined on the basis of the calculation methods developed in the above studies, namely for: longitudinal flow using the known standard calculation methods [1]; longitudinal-circulating flow interacting with solid boundaries of spillway [1-4]; longitudinal-circulating flow in the form of a swirling stream in the aquatic environment or in the air [2; 3]; the flow arising from the interaction of unidirectional longitudinal-circulating flows [4; 5]; the flow arising from the interaction of oppositely swirling coaxial flows [3]. In this paper, the authors consider the longitudinal-circulating flow of viscous incompressible fluid in a closed channel and in a jet using a velocity wurf linking the three components of velocity U , V and W .