1 2 31

MODELING AND SIMULATION OF ELASTICITY EFFECTS IN FILTRATION

1 In-plane compression of

an orthotropic fi ltering me-

dium

2 Fluid-Porous-Structure

Interaction (FPSI): Flow ve-

locity profi le for a fl at fi l-

tering medium deformed

by channel fl ow

3 Stresses induced by fl uid

pressure on a fi lter housing

F R A U N H O F E R I N S T I T U T E F O R I N D U S T R I A L M A T H E M A T I C S

© Fraunhofer ITWM 2013

Today’s quality requirements on innovative

fi ltering media and fi lter elements involve

more than the classical criteria like low dif-

ferential pressure, high fi ltration effi ciency

and dirt holding capacity. In more and more

fi elds of application, the mechanical stability

of the medium and the infl uence of its de-

formation on the fi ltration process cannot

be neglected any longer. Depending on the

application area and the corresponding op-

erating conditions, deformations of the hous-

ing can become relevant, too.

A lot of research and development activities

at Fraunhofer ITWM are dedicated to a bet-

ter understanding, appropriate modeling

and realistic numerical simulation of poro-

elastic phenomena. By taking the fl exibility

of fi ltering media into account, computer

simulations are able to cover a much wider

range of real-world scenarios.

The main benefi t for designers and media

manufacturers is the reduction of develop-

mental time, in particular:

� Identifi cation of suitable fi ltering materials

for more stable fi ltering media

� A priori study of effects like pleat crowd-

ing and pleat collapse

� Computer-aided design and arrangement

of supporting structures such as meshes

and ribs

� Optimization of the housing’s shape with

respect to both stability and fl ow resistivity

Fraunhofer-Institut für Techno- und

Wirtschaftsmathematik ITWM

Fraunhofer-Platz 1

67663 Kaiserslautern

Germany

Contact

Dr. Matthias Kabel

Phone +49 631 31600-46 49

matthias.kabel@itwm.fraunhofer.de

Dr. Ralf Kirsch

Phone +49 631 31600-46 95

ralf.kirsch@itwm.fraunhofer.de

www.itwm.fraunhofer.de

Geo

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ple

cour

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of

IBS

FILT

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N

1 32

0,6

0,8

1

1,2

1,4

1,6

1,8

2

0 10 20 30 40 50

Perm

eab

ility

[10

-11 m

2 ]

Strain (Compression) [%]

PredictionSimulation

sms_

fl yer

_Por

oela

stic

ity_

FPSI

_EN

1 Comparison of permea-

bility vs. strain: Values pre-

dicted by theoretical model

and simulated permeabilities

2 Comparison of real and

simulated deformation of a

fl at medium in a channel

fl ow (Experiment by LFMA,

Lyon)

3 Fluid-Porous-Structure

Interaction (FPSI): Flow pres-

sure-induced deformation

of a fi lter pleat

Having chosen suitable media, fi lter element

designers are confronted with the challenge

to fi nd a favorable way to fi xate and stabilize

the fi ltering media in the element’s housing

and / or choosing an optimal pleat count. One

of the major goals is to identify an optimal

trade-off between low fl ow resistance, large

fi ltration area and high mechanical robust-

ness of the design.

In order to assist fi lter element designers in

this diffi cult task, the interaction of the de-

Combined approach for the simulation of fl ow, effi ciency and robustness of

fi ltering devices

Fraunhofer ITWM offers the following ser-

vices for an integrated computer-aided op-

timization of fi lter elements and / or their

components:

� Import of CAD geometries or generation

of fi lter pleat shapes, entire panels or car-

tridges; import of CAD geometries of fi l-

ter element housings

� Simulation of the fl uid fl ow through hous-

ing and fi ltering media with fi ltration effi -

ciency prediction

formable porous / mesh with the fl uid can

be simulated using specialized mathematical

models and numerical algorithms.

The research related to this matter such as

experimental investigation, modeling and

principal development of numerical algo-

rithms has been carried out in the “Pro-

gramme Inter Carnot Fraunhofer: FPSI_Filt”.

These achievements form the scientifi c basis

for the development of effective and pre-

cise simulation tools for dealing with FPSI.

Modeling and simulation of Fluid- Porous-Structure Interaction (FPSI)

� Computation of effective elasticity prop-

erties of fi ltering media

� Fluid-Porous-Structure Interaction (FPSI)

simulations for advanced studies of the

deformation of the fi ltering media

� Stress-strain analysis of the fi lter ele-

ment’s housing based on the fl ow-in-

duced pressure distribution

� Visualization of the results and export to

worksheet formats for post-processing