Premium
Inboard boundary layer state on wind turbine blades
Author(s) -
Dumitrescu H.,
Cardoş V.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200800105
Subject(s) - boundary layer , mechanics , physics , stall (fluid mechanics) , turbine , boundary layer thickness , turbulence , classical mechanics , vortex , flow separation , thermodynamics
The paper is aimed at describing a fundamental phenomenon: the effect of rotation on the inboard blade boundary layer of a wind turbine. The three‐dimensional incompressible steady momentum integral boundary layer equations coupled with the entrainment equation are used to analyze the inboard stall‐delay due to rotation. Turbulence is modeled by using empirical correlations for the entrainment coefficient and the streamwise skin‐friction coefficient. A power‐law type of velocity profile is assumed for the streamwise turbulent velocity profiles and for cross‐flow velocity profiles the Mager parabolic model is used. The equations are written in cylindrical coordinates and are solved iteratively using a Runge–Kutta scheme. Special attention has been devoted to those term in the differential equations that change the boundary‐layer structure from that of two‐dimensional steady flow. It is concluded that the stall is delayed due to the boundary‐layer reattachment at the inboard sections in conjunction with forming of a spanwise standing vortex structure.