In a previous paper, a novel approach to axisymmetric actuator-disk modeling was presented. In the present paper, this modeling is extended to include the case of a skewed flow, which is asymmetric. Similar to the axisymmetric case, it is assumed that the pressure difference between both sides of each point of the disk is a time average of the pressure difference between both sides of the blade elements that pass through the same point. The influence of the loaded disk on the flowfield is modeled by a distribution of sinks/sources over the disk plane. Closed-form integral expressions are obtained for the induced velocity through and upstream of the disk. By using Bernoulli’s equation, which relates between the flow far upstream and the flow just before crossing the disk plane, an additional nonlinear algebraic equation for the induced-velocity distribution over the disk is obtained. Discretization of the integral equations results in a system of nonlinear algebraic equations. An iterative procedure leads to the final solution. The model is efficient, stable, easy to apply, and solve. Comparisons with results of another method from the literature exhibit a very good agreement.
New Actuator-Disk Model for a Skewed Flow
AIAA Journal ; 51 , 6 ; 1382-1393
2013-06-01
Article (Journal)
Electronic Resource
English
New Actuator-Disk Model for a Skewed Flow
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