Study on The Mathematical Model of Turbine Flowmeters
Sun Lijun, Zhang Tao
Abstract:
In order to accurately predict the variation of the performance curve of the turbine flowmeters according to the change of the viscosity of the flow, several previous mathematical models are compared and analyzed. On the base of the air foil theory, considering the effect of the finite wing spread and the interference between the blades among the cascade, viscous boundary layer theory is applied to the calculation of the lift coefficient CL and the drag coefficient CD at the surface of the blades in this paper. The drag induced by the effects of the leakage flow at the blade tip clearance and the loss of the secondary fluid is calculated also. The new mathematical model of the turbine meter is better suitable for measuring the viscous flow than before. The validity of the model is verified preliminarily, for the performance curves predicted by it are fitted well with those plotted by the experimental data got from the water flow facility.