The temporal and spatiotemporal linear stability analyses of a displaced Oldroyd-B fluid with
the mean flow in a horizontally aligned, square, Hele–Shaw cell are reported to identify the …

Direct numerical simulations of viscoelastic, subdiffusive, and plane Poiseuille flow,
representing thick polymer solutions including polymer melts, flows of liquid crystals, as well …

We provide a detailed comparison of the two-dimensional, temporal, and spatiotemporal
linearized analyses of the viscoelastic free shear flows (inhomogeneous flows with mean …

We report the temporal and spatiotemporal stability analyses of antisymmetric, free shear,
viscoelastic flows obeying the Oldroyd-B constitutive equation in the limit of low to moderate …

We provide a comparison of the dispersion properties, specifically the time-amplification
factor, the scaled group velocity, the error in the phase speed and scaled numerical diffusion …

The temporal and spatiotemporal linear stability analyses of viscoelastic, subdiffusive, plane
Poiseuille flow obeying the Fractional Upper Convected Maxwell (FUCM) equation in the …

We present a theory to quantify the formation of spatiotemporal macrostructures (or the non-
homogeneous regions of high viscosity at moderate to high fluid inertia) for viscoelastic sub …

The modal temporal stability analysis of viscoelastic, subdiffusive, pressure driven,
axisymmetric pipe flow, representing thick polymer solutions, exhibits the presence of …

We present an experimentally guided, multi-phasic, multi-species ionic gel model to
compare and make qualitative predictions on the rheology of mucus of healthy individuals …

We propose a novel family of asymptotically stable, implicit-explicit, adaptive, time
integration method (denoted with the $\theta $-method) for the solution of the fractional …