Page 175 - Aerodynamics for Engineering Students
P. 175
158 Aerodynamics for Engineering Students
where in axisymmetric cylindrical coordinates (r, z)R = dw, show that when a
is
uniform stream, U, superimposed on a point source located at the origin, there is a
stagnation point located on the z-axis upstream of the origin at distance
@) Given that in axisymmetric spherical coordinates (R, p) the stream function for
the point source takes the form
show that the streamlines passing through the stagnation point found in (a) define a
body of revolution given by
1
R2 = 24 + cos $0)
sin' 'p
Make a rough sketch of this body.