[Back]

S. Braun, A. Kluwick:
"Analysis of a bifurcation problem in marginally separated laminar wall jets and boundary layers";
Acta Mechanica, 161 (2003), 3-4; 195 - 211.

The paper deals with the steady laminar viscous inviscid interaction which
arises if a wall jet is subjected to a rapid deflection caused for example by
the presence of a ramp. The deflection angle is taken such that the flow
is at the verge of separation or even slightly i.e. marginally separated.
Although the flow entering and leaving the interaction region is assumed to be
strictly two-dimensional fully three-dimensional disturbances are accounted for
in the treatment of the local interaction process. Similar to the related
boundary layer problem studied by Braun and Kluwick (J. Fluid Mech. 460,
pp. 57--82, 2002) these disturbances are found to be governed by a non-linear
integro-differential equation. In contrast to this case, however, the induced
pressure disturbances now depend on the local curvature of the streamlines only
rather than on global flow properties. Special emphasis is placed on the
asymptotic analysis of a bifurcation problem associated with the non-uniqueness
of the solutions of the interaction equation.

http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC04404647

http://www.springerlink.com/openurl.asp?genre=article&issn=0001-5970&volume=161&issue=3&spage=195