Hydrodynamic dispersion by electroosmotic flow of viscoelastic fluids within a slit microchannel

Investigations of effective dispersion models for electroosmotic flow with rigid and free boundaries in a thin strip

“…In contrast to the above situations, we cannot simply extract the factor T in (22). However, there holds the embedding…”

“…Choosing 𝜆 = 1∕2 + 𝛿 leads to H 𝜆 (Ω) → L ∞ (Ω), and for an embedding into L 4 (Ω), a parameter 𝜆 ≥ 1 4 is sufficient, that is, 𝜕 x c± e ∈ L 8−𝜖 (0, T; L 4 (Ω)). Finally, a prefactor of the form T 1 2 can be separated in (22).…”

“…In earlier studies [18,19], Taylor dispersion due to combined pressure-driven and electroosmotically induced flows within a thin porous channel was investigated via asymptotic analysis. In order to describe electro-osmotic flow and neutral solute transport, effective dispersion coefficients were derived for soft microchannels in Hoshyargar et al [20], for channels with dense polyelectrolyte layer in Talebi et al [21], for channels containing elastic macromolecules in Hoshyargar et al [22], and for fouling processes in Ayoubi et al [23].…”

Temperature-gradient-induced massive augmentation of solute dispersion in viscoelastic micro-flows

“…On the right side, the contribution of the molecular diffusion is represented by the first term while the second term indicates the contribution due to the non-uniformity in the flow field. By following some recent studies (Arcos et al 2018;Hoshyargar et al 2018;Zholkovskij & Masliyah 2006), we have used the following expression for evaluating h min…”

“…Such fluids exhibit strikingly distinct behaviour compared to the fluids obeying Newton's law of viscosity (Owens 2006;Fam, Bryant & Kontopoulou 2007;Moyers-Gonzalez, Owens & Fang 2008;De Loubens et al 2011;Brust et al 2013;Silva, Alves & Oliveira 2017). Some recent studies have demonstrated that the constitutive behaviour of these biological fluids has close resemblance to the rheology of viscoelastic fluids, and therefore the inclusion of fluid rheology and viscoelasticity in dispersion characteristics has attracted significant attention lately (Brust et al 2013;Arcos et al 2018;Hoshyargar et al 2018;Mukherjee et al 2019). While considering the thermally induced electrokinetic flow of viscoelastic fluids, an additional source of nonlinearity crops up as mediated by the constitutive behaviour of the fluid (Afonso, Alves & Pinho 2009;Coelho, Alves & Pinho 2012;Afonso, Alves & Pinho 2013;Ferrás et al 2016;Ghosh, Chaudhury & Chakraborty 2016;Mukherjee et al 2017a,b).…”