Momentum Theory, Dynamic Inflow, and the Vortex‐Ring State

1982 ◽  
Vol 27 (3) ◽  
pp. 18-24 ◽  
Author(s):  
David A. Peters ◽  
Shyi‐Yaung Chen
2021 ◽  
Author(s):  
Carlos Ferreira ◽  
Wei Yu ◽  
Arianna Salla ◽  
Axelle Vire

Abstract. Floating Offshore Wind Turbines may experience large surge motions which, when faster than the local wind speed, cause rotor-wake interaction. Previous research hypothesised that this phenomena can result in a turbulent wake state or even a vortex ring state, invalidating the Actuator Disc Momentum Theory and the use of the Blade Element Momentum Theory. We challenge this hypothesis and demonstrate that the Actuator Disc Momentum Theory is valid and accurate in predicting the induction at the actuator in surge, even for large and fast motions. To achieve this, we derive a dynamic inflow model which mimics the vorticity-velocity system and the effect of the motion. The predictions of the model are compared against results from other authors and from a semi-free wake vortex-ring model. The results show that the surge motion and rotor-wake interaction do not cause a turbulent wake state or vortex ring state, and that the application of Actuator Disc Momentum Theory and Blade Element Momentum Theory is valid and accurate, when correctly applied in an inertial reference frame. The results show excellent agreement in all cases. The proposed dynamic inflow model includes an adaptation for highly loaded flow and it is accurate and simple enough to be easily implemented in most Blade Element Momentum models.


2000 ◽  
Vol 45 (4) ◽  
pp. 318-320 ◽  
Author(s):  
Chengjian He ◽  
C. S. Lee ◽  
Weibin Chen

2004 ◽  
Vol 49 (2) ◽  
pp. 160-175 ◽  
Author(s):  
J. Gordon Leishman ◽  
Mahendra J. Bhagwat ◽  
Shreyas Ananthan

2014 ◽  
Vol 908 ◽  
pp. 245-248
Author(s):  
Yu Qian ◽  
Xiao Jun Xiang ◽  
Jun Li Yang

Vortex ring state (VRS) is an inherently unsteady aerodynamic phenomenon. For rotor operations in the VRS, an inherent unsteadiness is a characteristic of the flow state, which is reflected by the waves and knots produced on the tip vortex filaments. Operationally, entry into the VRS manifests as rotor thrust fluctuations and also an increase in the average rotor shaft torque, the latter which is necessary to overcome the higher induced aerodynamic losses associated with rotor operations inside its own wake. Arming to the flight safety, the VRS development is discussed, the VRS models are summarized, and the operations for flight out VRS are given at the end of this paper. It is helpful to helicopter flight and training.


2021 ◽  
Author(s):  
Timothy B. Carroll

A model is presented for the aerodynamic performance prediction of fixed-pitch rotors for small unmanned aerial vehicles. The method uses a blade element momentum theory based approach that is formulated specifically for small rotors operating in hover and edgewise flight. In order to validate the model, a rotor test stand is used to measure the performance of a commercially available rotor for several inflow angles and advance ratios. The predictions agree with measurements for operating conditions excluding conditions with suspected vortex ring state. The model is incorporated into a numerical optimization scheme to demonstrate its potential as a design tool. Designs are presented that minimize the power loading for single- and multi-point operating conditions. The optimized designs have hyperbolic twist distributions, higher solidities, and operate at lower tip-speeds than existing designs. A potential flow based model is also presented to predict the wake interactions between multiple rotors in configuration.


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