Crazy Problem trying to figure out what formula is used for

[Mike The Ques]

This will be slightly confusing but if you could try and hang in there with me

this is a breakdown of what the formula looks like most of which i will not be able to type out
V= velocity
T= time
M= mass


P( partial derivative of V over T + V * del operator * V)= negative del * P + M*del squared* V+R

That is all I have if you could just tell me what the formula is used for that would be helpful

 

[Fightfish]

I presume you mean this:
$$\rho (\frac{\partial v}{\partial t} + v \cdot \nabla v) = -\nabla p + \mu \nabla^{2}v + f$$

That is the Navier-Stokes equation describing the mechanics of an incompressible Newtonian fluid.