Two vortex winds, one with a circulation of Gamma and the other with a circulation of 2Gamma , are
positioned as shown in the diagram below. The flow can be approximated as a free vortex.
(a) Express the stream function psi of the air flow induced by these vortex winds in terms of
Gamma ,a,x, and y.
(b) Express the coordinates of the stagnation point in terms of a.
(c) If Gamma =1000(m^(2))/(s) and a=10m, calculate the pressure at the origin. Assume that the
pressure far away from the vortex winds is 100kPa and the air density is 1.23k(g)/(m^(3)). Ignore
the effects of gravity.
Two vortex winds,one with a circulation of and the other with a circulation of 2,are
positioned as shown in the diagram below. The flow can be approximated as a free vortex.
(a Express the stream function of the air flow induced by these vortex winds in terms of
r,a,x,and y. (b Express the coordinates of the stagnation point in terms of a
(c) If = 1000 m2/s and a = 10 m, calculate the pressure at the origin. Assume that the
pressure far away from the vortex winds is 100 kPa and the air density is 1.23 kg/m. Ignore the effects of gravity.