give me the navier stokes equation
The Navier-Stokes equation is given by:
ρ(∂v/∂t + v∙∇v) = -∇p + μ∇^2v + f
where:
- ρ is the density of the fluid
- v is the velocity vector field of the fluid
- t is time
- p is the pressure
- μ is the dynamic viscosity of the fluid
- f is the external force field
- ∇ is the gradient operator
- ∇^2 is the Laplacian operator