Całka i równane Eulera dla cieczy.
dv
1
= F − gradp dt
ρ
∂ v
1
p
x = F −
⋅
dt
ρ ∂ x
∂ vy
1
p
= F − ⋅
dt
ρ ∂ y
∂ v
1
p
z
= F − ⋅
dt
ρ ∂ z
∂ v
∂ v
∂
y
v
x
z
=
=
= 0
dt
dt
dt
1
p
F −
⋅
= 0
ρ ∂ x
1
p
F −
⋅
= 0
ρ ∂ y
1
p
F −
⋅
= 0
ρ ∂ z
x = ,
0 y = 0, z = − g 1 dp
0 = g −
⋅
ρ dz
1 dp
g = − ρ dz dp
− g ⋅ ρ = dz dp = − g ⋅ ρ ⋅ dz g ⋅ ρ = p dp = γ dz p = γ + c z
p = γ
+ c
0
z 0
p = γ + p + γ
z
0
z 0