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Application of the Dorodnitsyn finite element method to swirling boundary layer flow
Author(s) -
Fletcher C. A. J.
Publication year - 1985
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.1650050505
Subject(s) - adverse pressure gradient , mechanics , boundary layer , pressure gradient , turbulence , flow separation , suction , materials science , shear stress , finite element method , conical surface , parasitic drag , physics , thermodynamics , composite material
The Dorodnitsyn finite element method for turbulent boundary layer flow with surface mass transfer is extended to include axisymmetric swirling internal boundary layer flow. Turbulence effects are represented by the two‐layer eddy viscosity model of Cebeci and Smith 1 with extensions to allow for the effect of swirl. The method is applied to duct entry flow and a 10 degree included‐angle conical diffuser, and produces results in close agreement with experimental measurements with only 11 grid points across the boundary layer. The introduction of swirl ( w e / u e = 0.4) is found to have little effect on the axial skin friction in either a slightly favourable or adverse pressure gradient, but does cause an increase in the displacement area for an adverse pressure gradient. Surface mass transfer (blowing or suction) causes a substantial reduction (blowing) in axial skin friction and an increase in the displacement area. Both suction and the adverse pressure gradient have little influence on the circumferential velocity and shear stress components. Consequently in an adverse pressure gradient the flow direction adjacent to the wall is expected to approach the circumferential direction at some downstream location.