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Aspects of the transpiration model for aerofoil design
Author(s) -
Yiu K. F. C.,
Stow P.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650180506
Subject(s) - airfoil , inviscid flow , streamlines, streaklines, and pathlines , curvature , surface (topology) , transpiration , flow (mathematics) , computational fluid dynamics , mathematics , mechanics , computer science , mathematical optimization , geometry , physics , photosynthesis , botany , biology
Transpiration is a technique in which extra non‐physical normal flows are created on an aerofoil surface in order to form a new streamline pattern such that the surface streamlines no longer follow the aerofoil surface under inviscid flow. The transpiration model is an important technique adopted in aerofoil design either to avoid mesh regeneration when aerofoil profile co‐ordinates are adjusted or to find shape corrections in inverse design methods. A first‐order approximation (with respect to the normal streamline displacement) to the transpiration model is commonly adopted; it is shown that this can be a poor approximation especially in regions of high curvature. In this paper more accurate approximations are developed to address this problem and improve the accuracy.