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Numerical prediction of the formation of Goertler vortices on a concave surface with suction and blowing
Author(s) -
Lin M.H.,
Hwang G.J.
Publication year - 1999
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/(sici)1097-0363(19991230)31:8<1281::aid-fld924>3.0.co;2-q
Subject(s) - suction , vortex , wavenumber , mechanics , prandtl number , boundary layer , mathematics , flow (mathematics) , computation , physics , thermodynamics , optics , heat transfer , algorithm
This paper presents a numerical prediction of the formation of Goertler vortices on a concave surface with suction and blowing. Suction stabilizes the boundary layer flow on the surface, whereas blowing destabilizes the flow. The criterion on the position marking the onset of Goertler vortices is defined in the present paper. For facilitating the numerical study, the computation is carried out in the transformed x –η plane. The results show that the onset position characterized by the Goertler number depends on the local suction/blowing parameter, the Prandtl number and the wavenumber. The value of the critical Goertler number increases with the increase in suction, while the value of the Goertler number decreases with the increase in blowing. Both the experimental and the numerical data can be correlated by G θ *=10.2( a ′θ)* 3/2 without suction and blowing and by a simple relation G * x =( G * x ) γ=0 e −γ with suction and blowing. The obtained critical Goertler number and wavenumber are in good agreement with the previous experimental data. Copyright © 1999 John Wiley & Sons, Ltd.