A note on start-up and large amplitude oscillatory shear flow of multimode viscoelastic fluids

Electrokinetic oscillatory flow and energy conversion of viscoelastic fluids in microchannels: a linear analysis

“…1987): where is the zero-shear-rate viscosity, λ a time constant and β a dimensionless quantity. In our computations, we adopt β = 2, which approximates the value obtained from the Rouse molecular theory to dilute polymer solutions (Prost-Domasky & Khomami 1996). Note that in this model, , decreases as k increases and the largest relaxation time λ max = λ .…”

“…We adopt the convention that 𝜆 1 > 𝜆 2 > 𝜆 3 … and to reduce the total number of parameters we use the following expressions for generating the relaxation time and viscosity of each mode (Bird et al 1987): where 𝜂 0 is the zero-shear-rate viscosity, λ is a time constant, and β is a dimensionless quantity. In all of our computations we use β = 2 which approximates the value obtained from the Rouse molecular theory for dilute polymer solutions (Prost-Domasky & Khomami 1996). Note that in this model 𝜂 𝑝 = ∑ 𝜂 𝑘 = 𝜂 0 ; 𝜆 𝑘 decreases as k increases, and the largest relaxation time λ max = λ.…”

“…In particular, the Rouse-like behaviour of dilute polymer solutions, as previously mentioned, can be expressed by the generalised Maxwell model. Prost-Domasky & Khomami (1996) analysed the start-up of plane Couette flow and large-amplitude oscillatory shear flow of single-mode and multimode Maxwell fluids as well as Oldroyd-B fluids using analytical or semi-analytical methods. Andrienko et al.…”

“…In particular, the Rouse-like behavior for dilute polymer solutions, as previously mentioned, can be expressed by the generalized Maxwell model. Prost-Domasky & Khomami (1996)…”

Large amplitude oscillatory shear of supramolecular materials

“…(3) and (4). The TNM model has been used to study LAOS, for example the start up flows in Couette geometry [42].…”