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