Volume 42 Issue 3
Mar.  2021
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XIE Yi, LIU Guangyuan, SHI Xiaojun. Interference Characteristics Analysis of Wind Tunnel Perforated Wall Based on the Linear Vortex Model[J]. Applied Mathematics and Mechanics, 2021, 42(3): 256-263. doi: 10.21656/1000-0887.410081
Citation: XIE Yi, LIU Guangyuan, SHI Xiaojun. Interference Characteristics Analysis of Wind Tunnel Perforated Wall Based on the Linear Vortex Model[J]. Applied Mathematics and Mechanics, 2021, 42(3): 256-263. doi: 10.21656/1000-0887.410081

Interference Characteristics Analysis of Wind Tunnel Perforated Wall Based on the Linear Vortex Model

doi: 10.21656/1000-0887.410081
Funds:  The National Natural Science Foundation of China(11802328)
  • Received Date: 2020-03-17
  • Rev Recd Date: 2020-08-18
  • Publish Date: 2021-03-01
  • An estimation and correction method of perforated wall-induced interference characteristics for 2D airfoils was proposed. Based on the Prandtl-Glauert velocity potential equation and linear vortices arranged on the surfaces of the airfoil and tunnel walls, the effects of the perforated wind tunnel wall on pressure distributions on the airfoil surface were solved iteratively to analyze influences of air permeability parameters of the perforated wall. Previous reference data and wind tunnel test results were used for comparison to validate the accuracy of the proposed calculation method. The comparison shows that, the effects of the perforated tunnel walls on the flow around the airfoil mainly act on the upper surface between the suction peak and the maximum thickness, and lead to lower pressure coefficients and decreased integrated lift coefficients. With the increase of the air permeability parameter of the perforated wall, the wall interference characteristics develop from the solid wall to the open boundary sharply. With good efficiency and reliability, the proposed method applies to quick estimation of the pressure on the airfoil surface in the subcritical range, and evaluation of the wall interference in the 2D airfoil tests.
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