4.3 Fluid Dynamics
95
Fig. 4.7 Blood pressure in the vessels of the body
Fig. 4.8 Vessel diameters and wall thickness
4.3.5 The Fluid Equation of Motion
The Navier–Stokes equation is Newton’s 2nd Law of motion applied to each small
element of mass of a fluid. For a given small mass element in a fluid with local
density ρ, The Navier–Stokes’ equation reads
ρ
dv
dt
= −∇ · S + f vol .
(4.40)
95
Fig. 4.7 Blood pressure in the vessels of the body
Fig. 4.8 Vessel diameters and wall thickness
4.3.5 The Fluid Equation of Motion
The Navier–Stokes equation is Newton’s 2nd Law of motion applied to each small
element of mass of a fluid. For a given small mass element in a fluid with local
density ρ, The Navier–Stokes’ equation reads
ρ
dv
dt
= −∇ · S + f vol .
(4.40)