Creeping flow through a model of fibrous porous media.

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In this research, the pressure losses and velocity distributions for creeping flow through three fibrous porous models were measured. The three models were square arrays of acrylic rods with solid volume fractions of 2.5%, 5% and 10%. Flow visualization was used to show the flow patterns. It was found that measured flow resistances, f·Re, were in good agreement with the theoretical predictions after correcting for the model wall effects. Without correcting for wall effects, our experimental data were higher than the theoretical predictions. A larger discrepancy was found with the lower solid volume fraction. Two-dimensional velocity vector maps were measured in each array using particle image velocimetry. Symmetry and continuity were verified from the velocity maps. The dimensionless velocity distributions in a unit cell of each porous model were obtained by further analyzing the velocity maps. It was shown that the velocity structure within a unit cell depends only on solid volume fraction. These experimental data are critical for further explorations on non-Newtonian flow through the fibrous models.

The Physical Object
Pagination83 leaves.
ID Numbers
Open LibraryOL19215736M
ISBN 100494025255

Oct 20,  · Pressure losses and velocity distributions were measured for creeping flow through three model fibrous porous media. The three models consisted of square arrays of circular rods with solid volume fractions of5 and 10%.Cited by: Pressure losses and velocity distributions were measured for creeping flow through three model fibrous porous media.

Jan 01,  · Pressure losses and velocity distributions were measured for creeping flow through three model fibrous porous media. The three models consisted of square arrays of circular rods with solid volume fractions of5 and 10%.Cited by: Employing the Brinkman model for confined porous media and the analytical model developed by Tamayol and Bahrami for permeability of square arrangement of fibers, a compact model for estimating pressure drop of ordered arrays of short cylinders embedded in a channel is proposed.

In addition, an experimental study is conducted in which water flow pressure drops are measured in several PDMS samples with different cylinder sizes and by: In this latter structure, the solid elements are continually in SLOW FLOW THROUGH A MODEL FIBROUS POROUS MEDIUM Figure I.

Square arrangement of tori (rings) in a plane.

Description Creeping flow through a model of fibrous porous media. FB2

Each torus is defined by radii a and R, with a flow, and so this array is more representative of fibrous by: In their study, fibres had a unidirectional arrangement with non-uniform spacing. Nedanov and Advani studied fluid flow in two-scale fibrous porous media numerically; governing equations of the fluid flow around and inside the solid and permeable fibres were developed using the homogenization method and were solved numerically.

They report the diagonal elements of the permeability tensor for single Cited by: Pressure drop measurements are performed on microchannels with integrated micropillars under creeping flow regime over a range of water flow rates from 50 to μl/min.

Jun 23,  · The numerical calculations of the velocity field and the component of transverse permeability in the filtration equation for steady, incompressible flow of the generalized Newtonian fluid through the assemblages of cylindrical fibers are presented in this paper.

The fibers are arranged regularly in arrays.

Details Creeping flow through a model of fibrous porous media. PDF

Flow is transverse with respect to the fibers. The non-linear governing equation in Author: Magdalena Mierzwiczak, Jan Adam Kołodziej, Jakub Krzysztof Grabski. NUMERICAL INVESTIGATION OF FLOW IN FIBROUS POROUS MEDIA flow model where a lack of experimental data exists in the is valid when the flow passing through pores is in creeping regime, i.e., inertial effects are negligible.

Therefore, the Stokes and continuity equations govern the flow-field. The flow is also assumed to. In general, it is assumed that the flow through randomly distributed fibrous porous media is dominated by viscosity as the Reynolds number is very small and the fluid is in the creeping regime.

The permeability K of the fibrous porous media can be defined by Darcy's law: (1) U = K μ ∇ p, where μ is the fluid viscosity, ∇ p is the gradient of pressure and U is the mean fluid by: Jun 15,  · This paper reports an experimental investigation of pressure-driven flow through models of porous media.

Each model porous medium is a square array of circular acrylic rods oriented across the flow in a rectangular channel.

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The solid volume fraction φ of the arrays ranged from to Three boundary conditions were by: In the present study, particle growth on individual fibers within a fibrous medium is examined as flow conditions transition beyond the Stokes flow regime. Employing a numerical model that solves the viscous, incompressible Navier-Stokes equations, the Stokes flow approximation used in past research to describe the velocity field through the fibrous medium is by: 3.

A two-dimensional mesoscopic model for fiber deformation and clustering formation in hierarchical fibrous media has been presented, which allows us to compute the micro-scale steady permeability as a function of the topology of the porous media.

The model has been derived for creeping flow conditions by analogy with non-Brownian suspensions of particles with confining by: 2. Mar 16,  · Pedras, M. and de Lemos, M. Computation of turbulent flow in porous media using a low Reynolds number k - ε model and an infinite array of Cited by: Transverse Permeability of Fibrous Porous Media selection of the existing models for 2D and 3D structures 1.

Introduction Experimental data for creeping flow through fibrous structures of our interests are not abundant in the open literature. As such, several samples of tube banks with.

Feb 25,  · The lattice Boltzmann method has been successfully applied for the simulation of flow through porous media in the creeping regime. Its technical properties, namely discretization, straightforward implementation and parallelization, are responsible for its popularity. Jul 12,  · The flow of viscoelastic fluids through square arrays of parallel cylinders was investigated experimentally by measuring the pressure drop and flow rate and by mapping the velocity field using particle image velocimetry.

The arrays had solid volume fractions of 2½%, 5%, and 10% and the fluids were Boger fluids—specifically, two solutions of polyisobutylene in polybutene. With Reynolds Cited by: Microstructural effects on the permeability of periodic fibrous porous media K.

Yazdchi, S. Srivastava and S. Luding Multi Scale Mechanics (MSM), Faculty of Engineering Technology, The problem of creeping flow between solid bodies arranged in a regular array is Restricted flow through fibrous porous materials has applications in several.

An experimental research program was conducted to investigate the effects of solid volume fraction, arrangement of rods, and rod shape on slow flow through and over two-dimensional model porous media. The flow of a non-Newtonian fluid (paste - a Bingham fluid) through a porous ring similar with previous mentioned model, was studied in international premiere, both theoretical and experimentaly.

Creeping flow through ordered arrays of micro-cylinders embedded in a rectangular minichannel Article in International Journal of Heat and Mass Transfer 55(s 15–16)– · July with. This non-conventional model of porous media flow utilizes creeping (Stokes) flow in the interstices of a porous media.

The model comes from the pore-scale flow experiments conducted by Arturo Keller, Maria Auset, and Sanya Sirivithayapakorn of the University of California, Santa Barbara.

on the flow resistance in various uni-directional fibrous porous microstructures. 2 Modeling Fig. Example of cross sectional microstructure of random packing unidirectional fibers.

In this work, the transversal flow crossing a porous media is modeled as the flow through the unidirectional cylinders. Fig. 1 is the schematic. The transport theory of three-layered fluid flow and heat transfer aspects in porous layered tubes is considered in the present work to study the flow of microlevel fluids through porous layered microvessels.

The transportation of energy through porous media and the applications associated with heat transfer in physiological aspects are Ashish Tiwari, Pallav Dhanendrakumar Shah, Satyendra Singh Chauhan. Proper description of the resin flow through fibrous media is an important input to the modeling of composite manufacturing processes.

Based on our conclusions in a recent review of pertinent literature (see Part I, this issue), Newtonian flow through ideal cylinder arrangements has Cited by: Sep 14,  · The results of a comprehensive computational evaluation of the Ergun and Forchheimer equations for the permeability of fibrous porous media are reported in this study.

Square and hexagonal arrays of uniform fibers have been considered, as well as arrays in which the fiber size is allowed to change in a regular manner, expressed by a size variation parameter (δ). The range of porosity (φ Cited by: Oct 22,  · The problem of the two-dimensional creeping flow of a viscous incompressible liquid in a flat channel partially filled with a model fibrous porous medium t Two types of flows are considered: a shear flow due to the motion of the upper wall of the channel and a gradient flow due to the presence of a pressure drop along the by: 3.

PHYSICAL REVIEW E 85, () Effects of microstructure on flow properties of fibrous porous media at moderate Reynolds number A. Tamayol,* K. Wong, and M. Bahrami Mechatronic Systems Engineering, School of Engineering Sciences, Simon Fraser University, BC, Canada V3T0A3. Derivation of generalized Darcy equations for creeping flow in porous media.

Ronald G. Larson; Cite this: Ind. Eng. Chem. Fundamen.20, Onset of convection in a non-Newtonian viscous flow through a horizontal porous channel.

On the effects of fiber orientation in permeability of fibrous media to power-law by: Abstract In this study, the permeability of ordered fibrous media towards normal and parallel flow is determined analytically. In this approach, porous material is represented by a “unit cell” which is assumed to be repeated throughout the media.

Several fiber arrangements including: touching and non-touching arrays are considered. Modeling 1D touching fibers as a combination of channel. analyzing pressure drop and permeability in fibrous media in an experimental frame [38].

2nd Group: Arrangements of Spheres. One of the simple conditions to apply any computational fluid flow model in a porous media is the one where the porous material is formed for simple packed structures made of .Fluid flow through three-dimensional fibrous porous media.

Journal of Experimental and Theoretical Physics86 (6), DOI: / Matteo Palassini, Andrea Remuzzi. Numerical analysis of viscous flow through fibrous media: a model for Cited by: Towards unified drag laws for inertial flow through fibrous materials K. Yazdchi * and S.

Luding Multi Scale Mechanics (MSM), Faculty of Engineering Technology, grained models that are employed to describe such applications. This has motivated the successfully applied for the simulation of porous media flow in the creeping regime [