Visco-inertial Flow Around Bodies

1995 ◽  
pp. 419-447
Author(s):  
V. N. Constantinescu
Keyword(s):  
Inertial Flow

scholarly journals Analogue tuning of particle focusing in elasto-inertial flow

Meccanica ◽  
2021 ◽  
Author(s):  
I. Banerjee ◽  
M. E. Rosti ◽  
T. Kumar ◽  
L. Brandt ◽  
A. Russom
Keyword(s):  
Numerical Simulations ◽  
Cross Section ◽  
Immersed Boundary Method ◽  
Circular Cross Section ◽  
Finite Size ◽  
Reynolds Numbers ◽  
Immersed Boundary ◽  
Particle Focusing ◽  
Inertial Flow ◽  
Particle Behaviour

AbstractWe report a unique tuneable analogue trend in particle focusing in the laminar and weak viscoelastic regime of elasto-inertial flows. We observe experimentally that particles in circular cross-section microchannels can be tuned to any focusing bandwidths that lie between the “Segre-Silberberg annulus” and the centre of a circular microcapillary. We use direct numerical simulations to investigate this phenomenon and to understand how minute amounts of elasticity affect the focussing of particles at increasing flow rates. An Immersed Boundary Method is used to account for the presence of the particles and a FENE-P model is used to simulate the presence of polymers in a Non-Newtonian fluid. The numerical simulations study the dynamics and stability of finite size particles and are further used to analyse the particle behaviour at Reynolds numbers higher than what is allowed by the experimental setup. In particular, we are able to report the entire migration trajectories of the particles as they reach their final focussing positions and extend our predictions to other geometries such as the square cross section. We believe complex effects originate due to a combination of inertia and elasticity in the weakly viscoelastic regime, where neither inertia nor elasticity are able to mask each other’s effect completely, leading to a number of intermediate focusing positions. The present study provides a fundamental new understanding of particle focusing in weakly elastic and strongly inertial flows, whose findings can be exploited for potentially multiple microfluidics-based biological sorting applications.

scholarly journals A nonlinear asymptotic model for the inertial flow at a fluid-porous interface

2020 ◽  
pp. 103798
Author(s):  
Philippe Angot ◽  
Benoît Goyeau ◽  
J. Alberto Ochoa-Tapia
Keyword(s):  
Asymptotic Model ◽  
Inertial Flow ◽  
Porous Interface

Flow in Finite-Width Thrust Bearings Including Inertial Effects: II—Turbulent Flow

1978 ◽  
Vol 100 (3) ◽  
pp. 339-345 ◽  
Author(s):  
B. E. Launder ◽  
M. A. Leschziner
Keyword(s):  
Turbulent Viscosity ◽  
Turbulence Energy ◽  
Finite Width ◽  
Fluid Inertia ◽  
Inertia Effects ◽  
Thrust Bearings ◽  
Inertial Flow ◽  
Transport Effects ◽  
Rate Of Dissipation ◽  
Selection Of

A new set of turbulent resistance laws for hydrodynamic lubricant films has been derived with the aid of a turbulence model which includes transport effects on two turbulence parameters. The model consists of two differential equations for the turbulence energy and its rate of dissipation and a constitutive equation for the turbulent viscosity. The model places no restrictions on the Reynolds number. An efficient finite-difference scheme, based on the integro-differential approach and incorporating the resistance laws and a set of accurate inertial coefficients, is applied to the solution of the turbulent inertial flow in finite-width slider bearings. A selection of predictions is presented for non-inertial and inertial flows. The former are compared with solutions obtained with alternative turbulent lubrication theories. The importance of including fluid inertia effects is demonstrated.

scholarly journals On the Transition From Creeping to Inertial Flow in Arrays of Cylinders

2010 ◽  
Author(s):  
K. Yazdchi ◽  
S. Srivastava ◽  
S. Luding
Keyword(s):  
Porous Media ◽  
Darcy’S Law ◽  
Computational Study ◽  
Darcy's Law ◽  
Natural Processes ◽  
Inertial Flow ◽  
Flow Through ◽  
High Reynolds ◽  
An Array Of Cylinders ◽  
Element Method

Many important natural processes involving flow through porous media are characterized by large filtration velocity. Therefore, it is important to know when the transition from viscous to the inertial flow regime actually occurs in order to obtain accurate models for these processes. In this paper, a detailed computational study of laminar and inertial, incompressible, Newtonian fluid flow across an array of cylinders is presented. Due to the non-linear contribution of inertia to the transport of momentum at the pore scale, we observe a typical departure from Darcy’s law at sufficiently high Reynolds number (Re). Our numerical results show that the weak inertia correction to Darcy’s law is not a square or a cubic term in velocity, as it is in the Forchheimer equation. Best fitted functions for the macroscopic properties of porous media in terms of microstructure and porosity are derived and comparisons are made to the Ergun and Forchheimer relations to examine their relevance in the given porosity and Re range. The results from this study can be used for verification and validation of more advanced models for particle fluid interaction and for the coupling of the discrete element method (DEM) with finite element method (FEM).

Investigation in the structure of the inertial flow in a thin film formed by a flow of falling drops

2020 ◽  
Author(s):  
A. A. Safronov ◽  
A. L. Grigoryev ◽  
T. G. Korovin ◽  
N. V. Bondareva
Keyword(s):  
Thin Film ◽  
Inertial Flow

Experimental investigation of inertial flow processes in porous media

2009 ◽  
Vol 374 (3-4) ◽  
pp. 242-254 ◽  
Author(s):  
Konstantinos N. Moutsopoulos ◽  
Ioannis N.E. Papaspyros ◽  
Vassilios A. Tsihrintzis
Keyword(s):  
Experimental Investigation ◽  
Porous Media ◽  
Flow Processes ◽  
Inertial Flow
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