CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (5): 665-670.

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Investigation on Cross-flow Instabilities in Swept-wing Boundary Layers with Linear Parabolized Stability Equations

ZUO Suihan, YANG Yong, LI Dong   

  1. National Key Laboratory of Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2009-07-17 Revised:2009-12-23 Online:2010-09-25 Published:2010-09-25

Abstract: Linear parabolized stability equations(LPSE) considering model curvature are solved with finite difference method.Stationary cross-flow instabilities in boundary layers of an infinite swept-wing are analyzed.LPSE and experimental results are compared.It is shown that at early development of stationary cross-flow disturbances,LPSE simulates flow structure and disturbance profiles well and predicts the N-factors accurately.When disturbances are amplified enough,high order terms can not be omitted and linearization assumption of LPSE is no longer suitable.Moreover,effects of model curvature and boundary layer non-parallelism are investigated.It shows that curvature and non-parallel terms have significant effects on stability analysis of stationary cross-flow instabilities on a swept-wing,and the effects are independent of Reynolds numbers.In the model investigated,inclusion of curvature has a stabilizing effect and non-parallelism shows destabilizing effects on disturbances.

Key words: linear parabolized stability equations, infinite swept wing, stationary cross-flow instabilities

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