Numerical-perturbation technique for stability of flat-plate boundary layers with suction Academic Article uri icon


  • A numerical-perturbation scheme is proposed for determining the stability of flows over plates with suction through a finite number of porous suction strips. The basic flow is calculated as the sum of the Blasius flow and closed-form linearized triple-deck solutions of the flow due to the strips. A perturbation technique is used to determine the increment aij in the complex wavenumber at a given location xj due to the presence of a strip centered at xi. The end result is a set of influence coefficients that can be used to determine the growth rates and amplification factors for any suction levels without repeating the calculations. The numerical-perturbation results are verified by comparison with interacting boundary layers for the case of six strips and the experimental data of Reynolds and Saric for single- and multiple-strip configurations. The influence coefficient form of the solution suggests a scheme for optimizing the strip configuration. The results show that one should concentrate the suction near branch I of the neutral stability curve, a conclusion verified by the experiments. 1986 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

published proceedings

  • AIAA Journal

author list (cited authors)

  • Reed, H. L., & Nayfeh, A. H.

citation count

  • 39

complete list of authors

  • Reed, HL||Nayfeh, AH

publication date

  • February 1986