On the unsteady separated flow past a semi‐infinite plate: Exact solution of the Brown and Michael model, scaling, and universality

1995 ◽  
Vol 7 (3) ◽  
pp. 526-529 ◽  
Author(s):  
L. Cortelezzi
Keyword(s):  
Exact Solution ◽  
Infinite Plate ◽  
Separated Flow ◽  
Flow Past ◽  
Scaling And Universality ◽  
Unsteady Separated Flow

scholarly journals An example of active circulation control of the unsteady separated flow past a semi-infinite plate

1994 ◽  
Vol 260 ◽  
pp. 127-154 ◽  
Author(s):  
L. Cortelezzi ◽  
A. Leonard ◽  
J. C. Doyle
Keyword(s):  
Control Strategy ◽  
Point Vortex ◽  
Infinite Plate ◽  
Separated Flow ◽  
Transverse Motion ◽  
Circulation Control ◽  
Nonlinear Controller ◽  
Dynamical Systems Analysis ◽  
Flow Past ◽  
Unsteady Separated Flow

Active circulation control of the two-dimensional unsteady separated flow past a semiinfinite plate with transverse motion is considered. The rolling-up of the separated shear layer is modelled by a point vortex whose time-dependent circulation is predicted by an unsteady Kutta condition. A suitable vortex shedding mechanism introduced. A control strategy able to maintain constant circulation when a vortex is present is derived. An exact solution for the nonlinear controller is then obtained. Dynamical systems analysis is used to explore the performance of the controlled system. The control strategy is applied to a class of flows and the results are discussed. A procedure to determine the position and the circulation of the vortex, knowing the velocity signature on the plate, is derived. Finally, a physical explanation of the control mechanism is presented.

Unsteady separated flow past an elliptic cylinder

1988 ◽  
Author(s):  
K. BLODGETT ◽  
K. GHIA ◽  
G. OSSWALD ◽  
U. GHIA
Keyword(s):  
Separated Flow ◽  
Elliptic Cylinder ◽  
Flow Past ◽  
Unsteady Separated Flow

Hall effects on MHD flow past an accelerated plate

1980 ◽  
Vol 23 (3) ◽  
pp. 495-500
Author(s):  
V. M. Soundalgekar ◽  
S. Ravi ◽  
S. B. Hiremath
Keyword(s):  
Exact Solution ◽  
Viscous Fluid ◽  
Skin Friction ◽  
Infinite Plate ◽  
Mhd Flow ◽  
Velocity Profiles ◽  
Electrically Conducting ◽  
Flow Past ◽  
Hall Effects ◽  
Hall Parameter

An exact solution of the MHD flow of an incompressible, electrically conducting, viscous fluid past a uniformly accelerated infinite plate has been presented. The velocity profiles are shown graphically and the numerical values of axial and transverse components of skin friction are tabulated. At high values of the Hall parameter, wt, the velocity is found to be oscillatory near the plate.

Aerodynamic characteristics of an unsteady separated flow

1979 ◽  
Author(s):  
M. FRANCIS ◽  
J. KEESEE ◽  
J. LANG ◽  
G. SPARKS ◽  
G. SISSON
Keyword(s):  
Separated Flow ◽  
Aerodynamic Characteristics ◽  
Unsteady Separated Flow

Separated Flow Past a Slender Delta Wing at Incidence

1973 ◽  
Vol 24 (2) ◽  
pp. 120-128 ◽  
Author(s):  
J E Barsby
Keyword(s):  
Delta Wing ◽  
Separated Flow ◽  
Leading Edge ◽  
Vortex Sheet ◽  
Simultaneous Equations ◽  
Delta Wings ◽  
Nested Iteration ◽  
Finite Difference Technique ◽  
Flow Past ◽  
Vortex Systems

SummarySolutions to the problem of separated flow past slender delta wings for moderate values of a suitably defined incidence parameter have been calculated by Smith, using a vortex sheet model. By increasing the accuracy of the finite-difference technique, and by replacing Smith’s original nested iteration procedure, to solve the non-linear simultaneous equations that arise, by a Newton’s method, it is possible to extend the range of the incidence parameter over which solutions can be obtained. Furthermore for sufficiently small values of the incidence parameter, new and unexpected results in the form of vortex systems that originate inboard from the leading edge have been discovered. These new solutions are the only solutions, to the author’s knowledge, of a vortex sheet leaving a smooth surface.Interest has centred upon the shape of the finite vortex sheet, the position of the isolated vortex, and the lift, and variations of these quantities are shown as functions of the incidence parameter. Although no experimental evidence is available, comparisons are made with the simpler Brown and Michael model in which all the vorticity is assumed to be concentrated onto an isolated line vortex. Agreement between these two models becomes very close as the value of the incidence parameter is reduced.

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