Page 106 - Aeronautical Engineer Data Book
P. 106
or, in polar If fluid velocity increases in the x direction, it must decrease in the y direction (see Figure 5.3). ∂q t 0 = ∂ A rotating or spinning element of fluid can or, in pol
= 0 1 + r
= ∂q t – ∂r Velocity at a point is given by: ∂ v = ∂x Velocity at a point is given by: ∂ v = ∂y
∂u + ∂v ∂y ∂x ∂q n q n + ∂r r ∂u ∂v – ∂y ∂x q t +
= r ∂ u = ∂y ∂
u = ∂x
Equation of continuity in 2D (incompressible flow) Equation of vorticity Stream function (incompressible flow) Velocity potential
(irrotational 2D flow)
