| \( m \) | Mass [kg] |
| \( \rho \) | Mass density \( [kg/m^3] \) |
| \( \mathbf{P} \) | Linear momentum \( [kg\, m/s] \) |
| \( \mathbf{v} \) | Velocity or specific linear momentum [m/s] |
| \( K \) | Kinetic energy \( [kg\, m^2/s^2] \) |
| \( \mathbf{v\cdot v}/2 \) | Specific kinetic energy \( [m^2/s^2] \) |
| \( B \) | Generic extensive property |
| \( \beta \) | Generic specific intensive property per mass unit |
| \( \mathbf{n} \) | Outward unit normal for the surface \( A(t) \) |
| \( \mathbf{e}_i \) | Orthogonal unit vectors |
| \( T_{ik} \) | Coordinate stresses [Pa] |
| \( T \) | Stress matrix |
| \( T_{iI} \) | Normal stresses |
| \( T_{ij} \) | Shear stresses, when \( i\neq k \) |
| \( \mathbf{T} \) | Stress tensor [Pa] |
| \( \gamma \) | Shear strain [] |
| \( \epsilon_v \) | Volumetric strain [] |
| \( \eta \) | Modulus of elasticity [Pa] |
| \( \nu \) | Poisson's ratio [] |
| \( \varepsilon_v=E_{ii} \) | Voumetric strain |
| \( w \) | Stress work per unit volume |
| \( \boldsymbol{T}_0 \) | The first Piola-Kirchhoff stress tensor |
| PKS | Piola-Kirchhoff stress tensor |
| \( \boldsymbol{S} \) | The second Piola-Kirchhoff stress tensor |
| \( p \) | Thermodynamical pressure |
| \( R \) | Gas constant for a particular gas |
| $ \alpha$ | Womersley parameter |
| \( pp \) | Pulse pressure [mmHg] |
| \( CO \) | Cardiac output [ml/min] |
| \( \tau=RC \) | Relaxation time \( s \) |
| \( \dot{V} \) | Rate of change in volume |
| \( Q_{i} \) | Flow rate into a volume |
| \( Q_o \) | Flow rate out of a volume |
| \( Q \) | Volumetric flow rate. |
| \( \delta \) | Nonlinear velocity profile correction factor |
| \( \delta \) | Correction factor |
| \( C_1 \) | Arbitrary constant |
| \( \delta'=\delta+1 \) | The modified correction factor |
| \( Z_c^f \) | Characteristic impedance for a forward traveling wave |
| \( Z_c^b \) | Characteristic impedance for a backward traveling wave |
| \( \rho_{w} \) | Density of vessel wall |
| \( \tau_w = \tau_{rz}\vert_{r=r_i} \) | Wall shear stress |
| \( \delta_{ij} \) | Kronecker delta |
| \( e_{ijk} \) | Permutation symbol [] |