η |
The viscosity of the fluid |
η0
|
The viscosity of the first Newtonian region |
η∞ |
The viscosity of the second Newtonian region |
λ |
The characteristic time, which is directly related to the material properties |
m |
The fluid behavior index, which is related to the material properties |
|
The shear rate |
γ |
The strain of the fluid |
m(t − t′) |
The memory function, which is time derivative of relaxation modulus |
h(γ) |
The damping function, which can be used for describing the nonlinear rheological response |
γ(t, t′) |
The deformation history from time t′ to t |
gi |
The relaxation modulus |
λi |
The relaxation time |
N |
The number of the Maxwell models |
G′(ω) |
The storage modulus of the fluid |
G″(ω) |
The loss modulus of the fluid |
G(t) |
The linear stress relaxation modulus |
G(t,γ) |
The nonlinear stress relaxation modulus |
γc |
The critical strain of the fluid |
α |
The fitting parameter of the damping function |
ω |
The oscillation frequency |