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High resolution simulations of incompressible flows have become routine across a range of engineering applications. Despite their routine use, due to the high dimensional parameter space present for most practical applications, a…

Fluid Dynamics · Physics 2022-11-14 Christopher J. McDevitt , Eric Fowler , Subrata Roy

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…

Computational Engineering, Finance, and Science · Computer Science 2016-04-21 K. E. Jensen , P. Szabo , F. Okkels

A liquid-liquid two-phase Taylor-Couette flow is of fundamental and practical importance in multiphase flow systems. This study investigates the flow transitions in such a system with constant axial flow and gradually increased rotation of…

Fluid Dynamics · Physics 2025-09-01 Hayato Masuda , Yuta Kikuchi , Hiroyuki Iyota

An extended volume of fluid method is developed for two-phase direct numerical simulations of systems with one viscoelastic and one Newtonian phase. A complete set of governing equations is derived by conditional volume-averaging of the…

Fluid Dynamics · Physics 2020-12-08 Matthias Niethammer , Günter Brenn , Holger Marschall , Dieter Bothe

Plane Couette flow of visco-elastic fluids is shown to exhibit a purely elastic subcritical instability in spite of being linearly stable. The mechanism of this instability is proposed and the nonlinear stability analysis of plane Couette…

Soft Condensed Matter · Physics 2007-05-23 Alexander N. Morozov , Wim van Saarloos

In this work we consider theoretically the problem of a Newtonian droplet moving in an otherwise quiescent infinite viscoelastic fluid under the influence of an externally applied temperature gradient. The outer fluid is modelled by the…

Internal haemorrhage, often leading to cardio-vascular arrest happens to be one of the prime sources of high fatality rates in mammals. We propose a simplistic model of fluid flow to specify the location of the haemorrhagic spots, which, if…

Soft Condensed Matter · Physics 2013-04-01 Amit K. Chattopadhyay , Shreekantha Sil

In this article, the extensional flow and viscosity and the converging-diverging geometry were examined as the basis of the peculiar viscoelastic behavior in porous media. The modified Bautista-Manero model, which successfully describes…

Fluid Dynamics · Physics 2017-05-24 Taha Sochi

We analyze the creeping flow generated by a spherical particle moving through a viscous fluid with nematic directional order, in which momentum diffusivity is anisotropic and which opposes resistance to bending. Specifically, we provide…

Fluid Dynamics · Physics 2013-09-11 Manuel Gómez-González , Juan C. del Álamo

We pursue here the development of models for complex (viscoelastic) fluids in shallow free-surface gravity flows which was initiated by [Bouchut-Boyaval, M3AS (23) 2013] for 1D (translation invariant) cases. The models we propose are…

Numerical Analysis · Mathematics 2017-12-13 Sébastien Boyaval

A planar two-dimensional computational analysis is presented to qualify traditional and fractal vane-in-cup geometries for accurate rheometry of simple viscoplastic fluids with and without slip. Numerical simulations based on an adaptive…

Soft Condensed Matter · Physics 2022-07-13 Emad Chaparian , Crystal E. Owens , Gareth H. McKinley

Most biological fluids are viscoelastic, meaning that they have elastic properties in addition to the dissipative properties found in Newtonian fluids. Computational models can help us understand viscoelastic flow, but are often limited in…

Fluid Dynamics · Physics 2021-03-25 Michael Kuron , Cameron Stewart , Joost de Graaf , Christian Holm

The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of…

Soft Condensed Matter · Physics 2018-05-03 Daniel N. Blaschke , Dean L. Preston

A numerical study of yield-stress fluids flowing in porous media is presented. The porous media is randomly constructed by non-overlapping mono-dispersed circular obstacles. Two class of rheological models are investigated:…

Fluid Dynamics · Physics 2024-05-30 Saeed Parvar , Emad Chaparian , Outi Tammisola

We present numerical simulations of laminar and turbulent channel flow of an elastoviscoplastic fluid. The non-Newtonian flow is simulated by solving the full incompressible Navier-Stokes equations coupled with the evolution equation for…

Fluid Dynamics · Physics 2018-07-17 Marco Edoardo Rosti , Daulet Izbassarov , Outi Tammisola , Sarah Hormozi , Luca Brandt

We present the full three-dimensional numerical investigation of the von Karman swirling flow between two parallel plates using the Oldroyd-B model and characterize the onset and development of elastic turbulence. We quantify the flow state…

Fluid Dynamics · Physics 2022-05-11 Reinier van Buel , Holger Stark

Analytical expressions correlating the volumetric flow rate to the inlet and outlet pressures are derived for the time-independent flow of Newtonian fluids in cylindrically-shaped elastic tubes using a one-dimensional Navier-Stokes flow…

Fluid Dynamics · Physics 2015-01-05 Taha Sochi

We study the deformation of a two-dimensional viscous droplet in simple shear in the presence of odd viscosity. We derive an analytical solution for the droplet shape and surrounding flow field within the framework of odd Stokes flow,…

Soft Condensed Matter · Physics 2026-05-11 Thomas Appleford , Hugo França , Maziyar Jalaal

Control of acoustic streaming can significantly impact fluid and particle transport in microfluidics. We report enhancement, suppression, and reversal of acoustic streaming inside a rectangular microchannel by controlling the fluid…

Fluid Dynamics · Physics 2026-02-20 T. Sujith , A. K. Sen

In this study, the hyperbolic method is adopted to explore the flow field states of incompressible flow in a four-sided lid-driven square cavity. In particular, we focus on the flow bifurcation obtained at the critical Reynolds number $R_e…

Fluid Dynamics · Physics 2022-07-14 Hubert Baty