The Oldroyd-B model has been used extensively to predict a host of instabilities in shearing
flows of viscoelastic fluids, often realized experimentally using polymer solutions. The …

Lubricating oils are used to minimize the friction and wear of mechanical components by
virtue of a thin lubricant film separating the sliding surfaces. The film's characteristics, under …

Motile cilia are hair-like, tiny structures that originate in different types of biological
processes. Yeleswarapu fluid model is approximated as non-Newtonian mucus, which is …

We present a review of some key developments in the continuum mechanics–based
macroscopic modeling of complex fluid flows, following the pioneering work of Oldroyd in the …

This study performs extensive numerical simulations to investigate how the aspect ratio (AR)
of a lid-driven cavity influences the onset of elastic instability and elastic turbulence and the …

We introduce a new approach to the numerical approximation of the time-fractional Navier–
Stokes–Fokker–Planck (TFNSFP) system, which involves the coupling of the incompressible …

In this study, the dual solutions for mixed convection flow of an Oldroyd-B fluid containing
alumina nanoparticles over a shrinking sheet are investigated taking into account the effects …

Boger fluids that exhibit a rate-independent shear viscosity (typically∼ 1 Pa∙ s= 1000x water
viscosity) and elasticity measurable using torsional rheometers (modulus, relaxation time, or …

This work performs an adjoint-based sensitivity analysis of a viscoelastic fluid flow around a
cylinder in a confined channel. The viscoelastic behavior of the fluid is modeled by the …

Abstract An extended Jaffrey–Hamel problem with heat and mass transfer attributes of
viscoelastic fluid over an isothermal porous conduit, where the flow is produced by injecting …