Answer to Question #46428 in Abstract Algebra for michale

Question

ρ(∂v/∂t + v∙∆v) = -∆p + ∆∙T + f

Where v is the flow velocity, ρ (rho) is the fluid density, p is the pressure, T is the deviatoric component (Cauchy stress tensor), and f represents body force (throughout the volume of the body) and ∆ (which should be upside down) is the del or nabla operator, which denotes the gradient of a vector field.