This article addresses the low Weissenberg asymptotic analysis (Newtonian limit) of some macroscopic models of viscoelastic fluid flows in the framework of global weak solutions. We investigate the convergence of the corotational Johnson-Segalman, the FENE-P, the Giesekus and PTT models. Relying on a priori bounds coming from energy or free energy estimates, we first study the weak convergence ...

Effect of rheological property on the migration and alignment three interacting particles in Poiseuille flow Giesekus fluids is studied with direct-forcing fictitious domain method for Weissenberg number (Wi) ranging from 0.1 to 1.5, mobility parameter 0.7, ratio particle diameter channel height 0.2 0.4, solvent viscosity total being 0.3 initial distance (y0) centerline 0 0.2. The results showe...

A theoretical solution is presented for the forced convection heat transfer of a viscoelastic fluid obeying the Giesekus constitutive equation in a concentric annulus under steady state, laminar, and purely tangential flow. A relative rotational motion exists between the inner and the outer cylinders, which induces the flow. A constant temperature was set in both cylinders, in this study. The f...

The principle of causality leads to linear Kramers–Kronig relations (KKR) that relate the real and imaginary parts complex modulus [Formula: see text] through integral transforms. Using multiple generalization Boltzmann superposition for nonlinear rheology, causality, we derived KKR, which order text]. For text], obtained KKR medium amplitude parallel (MAPS) rheology. A special case MAPS is osc...

We have implemented the log-conformation method for two-dimensional viscoelastic flow in COMSOL, a commercial high-level finite element package. The code is verified for an Oldroyd-B fluid flowing past a confined cylinder. We are also able to describe the well-known bistability of the viscoelastic flow in a crossslot geometry for a FENE-CR fluid, and we describe the changes required for perform...

The spatiotemporal evolution of a viscoelastic jet depends on the relative magnitude of capillary, viscous, inertial and elastic stresses. The interplay of capillary and elastic stresses leads to formation of very thin and stable filaments between drops, or to ‘beadson-a-string’ structure. We show that by understanding the physical processes that control different stages of the jet evolution it...