4. 4 Philosophy of theoretical solutions for lOW-speed flow over airfoils The vortex sheet Schematic figure of a point vortex
4.4 Philosophy of theoretical solutions for low-speed flow over airfoils: The Vortex Sheet Schematic figure of a point vortex
Schematic figure of a vortex filament Point vortex is simply a section of a straight vortex filament
Schematic figure of a vortex filament Point vortex is simply a section of a straight vortex filament
Construction of a vortex sheet Try to remember the analogous situation for the construction of a source sheet
Construction of a vortex sheet Try to remember the analogous situation for the construction of a source sheet
P(x,z dy Vortex sheet in perspective b Edge view of sheet Infinite number of vortex filaments, The strength of each vortex filament is infinitesimally small
Infinite number of vortex filaments,The strength of each vortex filament is infinitesimally small
o Definition of the strength of vortex sheet r(s) vElocity induced by yds at point P dv yds 2rr vElocity potential induced by yds at point P d=-6 2兀 Difference of the superposition between the velocity vectors and velocity potential
(s) Velocity induced by at point P Definition of the strength of vortex sheet ds r ds dV 2 Velocity potential induced by ds at point P 2 ds d Difference of the superposition between the velocity vectors and velocity potential