give me the navier stokes equation

Answer 1

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