Formulary Formulas Flashcards
1
Q
What is the formula for vorticity field?
A
omega = nabla x u
2
Q
What is the formula of vortex lines?
A
dx_1/omega_1 = dx_2/omega_2 = dx_3/omega_3
3
Q
What is the formula of streamlines?
A
dx_1 / u_1 = dx_2 / u_2 = dx_3/ u_3
4
Q
What are the formulas for circulation?
A
circulation = lineintegral u ds = int omega.n dA
5
Q
What is the formula for vortex sheet?
A
gamma(S) = dcirculation / ds
6
Q
What are the formulas for Parallel Flow?
A
- F(z) = (U-iV)z
- Circulation = 0
- w(z) = U-iV = const
7
Q
What are the formulas for Source/Sink flow?
A
F(z) = Q/(2pi) * ln(z)
Circulation = iQ
8
Q
What are the formulas of Potential vortex flow?
A
F(z) = -i (Circulation/2pi) ln(z)
9
Q
What is the formula for Dipole Flow?
A
F(z) = M/(pi z)
Circulation = 0
10
Q
A
