A potential flow model is proposed for the simulation of a closed separation region where a flow reattaches to the wall from which it has previously separated. The model is intended for large Reynolds numbers, for which condition the vorticity in the fluid is assumed to be concentrated along the initial part of the dividing streamline and at the centre of the circulatory flow in the separation region. Using empirical data for the location of the reattachment point, the proposed model is applied to the problem of flow separation at the inner corner of an unequal elbow, and a comparison is made between the calculated and the experimentally observed flow patterns.
Get full access to this article
View all access options for this article.
References
1.
LichtarowiczA.MarklandE.‘Calculation of potential flow with separation in a right-angled elbow with unequal branches’, J. Fluid Mech.196317, 596.
2.
RobertsonJ. M.Hydrodynamics in theory and application, 1965 (Prentice Hall).
3.
BatchelorG. K.‘A proposal concerning laminar wakes behind bluff bodies at large Reynolds numbers’, J. Fluid Mech.19561, 388.
4.
TruesdellC. A.‘Kinematics of vorticity’, Univ. of Indiana, Science Series195419.
5.
FrommJ. E.‘A method for computing non-steady, incompressible, viscous fluid flows’, Los Alamos Scient. Lab. Rept.LA 2910, 1963.
6.
McGregorI.‘Regions of localized boundary layer separation and their role in the nose-stalling of aerofoils’, Ph.D. thesis, University of London, 1954.
7.
FageA.JohansenF. C.‘The structure of vortex sheets’, Phil. Mag.1928S7 (5), 417.
8.
KüchemannD.‘Report on the I.U.T.A.M. Symposium on concentrated vortex motions in fluids’, J. Fluid Mech.196521, 1.
9.
DugginsR. K.‘A study of flow in a plate valve’, Ph.D thesis, University of Nottingham, 1962.
10.
NashJ. F.‘An analysis of two-dimensional turbulent base flow, including the effect of the approaching boundary layer’, Aero. Res. Coun. R. & M.3344, 1963.
