Numerical Simulation for Blood Flow - Microsurgery: Advances, Simulations, and Applications - page 159

Chapter 5

Numerical Simulation for Blood Flow

Table 5.1 Deinition of variables used in this chapter

Variables Description Unit

kg/m 3

ρ Density

u Velocity component of x direction m / s

v Velocity component of y direction m / s

w Velocity component of z direction m / s

F Force acting on unit mass N/kg

M Mass kg

m/s 2

α Acceleration

O ( δ 2 )

High order terms more than second

τ Shear stress Pa

σ Normal stress Pa

p Pressure Pa

μ

Pa ⋅ s

Viscosity coeficient

m 2 /s

v = μ/ρ Kinematic viscosity coeficient

G

Vector containing variable values at the grid nodes

U Characteristic velocity m/s

L Characteristic length m

Re = U ⋅ L/v

Reynolds number