Mm. Elrefaee, BOUNDARY-LAYER CONTROL OF SEPARATED FLOW OVER CIRCULAR-CYLINDERS - A BEM PARAMETRIC STUDY, Engineering analysis with boundary elements, 14(3), 1994, pp. 239-254
A numerical procedure based on the boundary element method (BEM) for s
olving the time-dependent, incompressible Navier-Stokes equation is de
veloped and presented. The BEM technique allows separate treatment of
the kinematics and kinetics as well as offering other additional advan
tages over the prevailing FDM and FEM techniques. The developed algori
thm is used to conduct a parametric study for the boundary layer contr
ol of subcritical flow over a circular cylinder. Different boundary la
yer control systems (such as pure suction, combined suction and blowin
g, periodic suction, etc.) have been computed to predict the favorable
boundary layer control systems for subcritical flow regimes. Standard
benchmark problems, including impulsively started unsteady flows over
a circular cylinder for several values of Reynolds number, are solved
to demonstrate the robustness of the scheme and to evaluate the accur
acy of the developed algorithm. The reduction in drag due to either co
nstant or periodic boundary layer suction and blowing is generally sho
wn to be substantial, but depends on the control system used and the v
alues of the control parameters. The variation of the drag with these
control parameters is presented in various figures. The sine function
distribution of equal blowing and suction at the surface and with a su
ction discharge coefficient equal to 0.15 was found to be the most eco
nomical boundary layer control system in the present parametric study.