Technology » Textile Technology » "Advances in Modern Woven Fabrics Technology", book edited by Savvas Vassiliadis, ISBN 978-953-307-337-8, Published: July 27, 2011 under CC BY-NC-SA 3.0 license

Chapter 6

Functional Design of the Woven Filters

By Lucica Cioara and Ioan Cioara
DOI: 10.5772/17528

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Overview

Filtrations mechanisms
Figure 1. Filtrations mechanisms
Pore geometry
Figure 2. Pore geometry
Type of pores
Figure 3. Type of pores
Pore architecture of the woven filter - plain weave
Figure 4. Pore architecture of the woven filter - plain weave
Pore architecture of the woven filter - twill D 2/2
Figure 5. Pore architecture of the woven filter - twill D 2/2
Pore architecture of the woven filter - twill D 3/1
Figure 6. Pore architecture of the woven filter - twill D 3/1
The main menu of the program
Figure 7. The main menu of the program

Functional Design of the Woven Filters

Lucica Cioară1 and Ioan Cioară

1. Introduction

The filtration process implies the physical separation of one or more components of a fluid that passes through or over a barrier which is permeable to only one or some of the fluid components. Therefore the fundamental element of the filtration process is the barrier which is permeable to only a part of the suspension or the solution applied to filtration. This barrier is named filter medium and the mechanical structure used to support it is named filter. The statement the heart of any filter is the filter medium is fully justified. The most ingenious filter is useless if does not have an adequate filter medium. A specific shape of a filter can use a wide variety of filter mediums to do the same or different separation.

Function of their purpose filtration processes are used to separate solid – gas, solid – liquid, liquid – liquid or solid – solid mixtures. Solid – gas separation domain is represented mainly by air filters also including gas processing. Solid – liquid separation is the usual area of mechanical filters from which a relevant part is the inertial separators. Liquid – liquid and solid – solid separations are complex and specialized areas of filters or separators typology.

Industrial installations frequently use as filtration media technical textiles obtained by weaving i.e. woven filters (Adanur, 1995; Harracks&Anand, 2000). To respond to imposed exigencies by the use in industrial installations, the fabrics utilized as filter media must comply with a wide range of demands which are for the most part determined by the fabrics own structural characteristics and partially by the fabric finishing methods (Marchiş et al.,1991; Cioară et al., 1991; L.Cioară&I.Cioară, 2001). Among these requirements the following are mentioned:

  • high filtration capacity, high degree of filtered elements purification and minimum hydraulic resistance;

  • good mechanical resistance and stability to chemical, thermal, corrosive and biological agents;

  • a high degree of the filtering surface smoothness allowing an easy and total residue separation and filter regeneration;

  • a firm and homogenous structure allowing a high filtering process fineness and quality throughout the service life of the filtering element.

The fields having a vital requirement for woven textile media filtration are in a continuous diversification and specialization. It is widely known that technical textiles represent viable alternatives for all economic and social life sectors. In this context the woven textiles filter media, a significant representative of technical textiles, find their application in various fields from automobiles to space industries, in construction, in agriculture and environment protection (Adanur, 1995; Harracks&Anand, 2000).

Filtration processes are accomplished following two basic principles: depth filtration and surface filtration (Medar&Ionescu, 1986). Both forms of the filtering process imply the simultaneous occurrence, in different ratio of two physical phenomena:

  • direct particles retention – do to this process filter medium stand for a mechanical barrier for particles bigger than the restriction;

  • adsorption – particles retention by electrostatic forces or molecular attraction of the filter medium.

Principle of depth filtration and the specific mechanisms through which the particles are retained are shown in Figure 1.a. Direct interceptions take place when particles of a certain size are passing through larger pores and are trapped in the filter medium structure when meet smaller pores. Inertial forces cause particles to hit filter medium fibers the particles retention being obtained due to their penetration into the body of fibers or due to the fiber deformation.

media/image2.png

Figure 1.

Filtrations mechanisms

Inertial impaction is predominant when high fluid velocity or very dense filter medium is present. This type of filtration mechanism is most predominant when high gas velocity and/or dense packing of the filter media is present. Inertial impaction occurs also when an abrupt change in streamline take place. In this case the particle, due to its inertia, will continue along its original path and could be retained by the filter medium

Adsorption phenomena determine the attraction of small size particles by the filter medium fibers. The adsorption is favored by particles Brownian movement of the particles during the filtration process. Textile filter media that work by the depth filtration principle are: nonwoven fibrous layers, simple textiles made of spun or filamentary yarn, pile or felted, composite fabrics made as semi double, double or multiple layers structures.

Surface filtering implies that particles larger than the pore size are retained on the filter medium surface (Figure 1.b) Due to the adsorption forces particles smaller than pore size can be retained along the pore wall, reducing its transverse dimension causing blocked pores and filter medium clogging as a result. In the first phase of the clogging nominal fineness of filtration is reduced, the pressure difference increases and a combination of surface filtration with a pseudo-depth filtration take place (occurs).

Later on, as the degree of clogging increases, fluid flow through the filter medium is significantly reduced. Textile filter media which operate by surface filtration are monofilament yarns woven textiles.

The comparative analysis of the woven filter media working according to these two principles highlights their advantages and disadvantages (Table 1). In all cases the filter media is considered within the conventional filtering range ensuring the separation of particles over 1 μm in size (Rouette, 2001).

Filtration fineness is influenced by filter medium structure. Pore size distribution is Gaussian for filter media that operates on depth filtering principle and covers a narrower range around the mean value for filter media that works on surface filtration principle. As a result, the particles retention set in the case of surface filtration is much more restrictive than in the case of depth filtration.

Depth filtration Surface filtration
advantagesdisadvantagesadvantagesdisadvantages
low costhard to cleanpossibility of cleaning and reusehigh cost
high efficiencyfilter medium particles migration is possiblefilter medium
particles migration
is excluded
low initial efficiency
high capacity to retain impuritiesfiltering performance is depending on the fluid viscosityfatigue resistance, resistance to temperature or corrosive agentslimited capacity to retain impurities
relatively large pressure droplower pressure drop
increased cloggingreduced clogging

Table 1.

Comparative analysis of filter media

2. Analysis of woven filter media functionality

Woven filter media are products that are differentiated by structure and properties in strict accordance with the requirements and particularities of the process in which they operate. The filter medium structure is necessarily associated with the principle used to separate the mixture particles (surface filtration or depth filtration).

2.1. Features woven filter media

The result of filter medium different properties combination sets up its quality and respectively its functionality. For an objective assessment of filter media quality (functionality) three groups of properties have been identified as follows:

  • properties related to filter medium mounting system type. Those properties are important for the mechanical implementation of the filter respectively the filter medium set up on the support frame. Among the key properties of this group stated: stiffness, tensile strength, tear resistance, burst strength, abrasion resistance, vibration stability, elongation, the edges stability;

  • properties related to the application type that are taking in consideration the compatibility between the filter medium and the processed medium. In this category falls the following properties: chemical stability, thermal stability, biological stability, dynamic stability, adsorption, absorption, operational safety and security, electrostatic characteristics, reuse capability, price;

  • properties addressing specific filtrations process particularities underlining the filter medium capacity to comply with required demands. The most important properties of this group are: the smallest particle retained, retention efficiency, the structure of filter media, particle shape, filtering mechanisms used, flow resistance, porosity of filter media, permeability, tendency to clog, filter-cake discharge characteristics.

Symbol Function name Technical dimension Function type
F1to separate the phases of a heterogeneous mixtureporosity
permeability
primary, objective, necessary, general
F2to ensure filtration finenessshape, size and pore distributionprimary, objective, necessary, specific to filter principles
F3to be dimensionally stable during operationelastic and residual tensile strain
primary, objective, necessary,
specific to filter principles
F4to withstand the action of mechanical factors during operationtensile strength
burst resistance
primary, objective, necessary, specific to filtration process
F5to withstand the erosive effects of the environmentchemical resistanceprimary, objective, necessary, specific to filtered fluid
F6to ensure filtration velocityactive filtration surfaceprimary, objective, necessary, specific to filter principle
F7to withstand the erosive action of the filtered fluidabrasion resistancesecondary, objective, necessary,
specific to filtration process
F8mechanical durabilityfatigue resistancesecondary, objective, necessary, specific to filter type
F9shouldn’t clogfilter structure,
pores shape
secondary, objective, necessary, specific to filter type
F10easy to clean and rebuildfilter structure
raw material
secondary, objective, necessary, specific to filter type
F11easy to fabricatefilter structure,
fabrication technology
secondary, objective, necessary, specific to filter type
F12easy to install and replacefilter shape and dimensionssecondary, objective, necessary, specific to filter type

Table 2.

The functions of woven filter media

For each filter medium, depending on field of use and the requirements in service only some of these properties are necessary. As a result, the design of woven textiles intended to be used as filter media must be made in accordance with functionality criteria ensuring priority to the properties requested by the process utilized.

The relation structure – properties – use value is the design criterion for woven filters. Value engineering is a method of research and systemic design according to which the functions of the product studied (filter medium) must be designed and carried out with minimum expenditure in terms of highest quality, reliability and performance (Condurache et al., 2004). Value engineering instrumentation methodology implies the following stages:

  • functional analysis: answers the questions what is and what the product does; the function list of the analyzed product is completed;

  • classification of functions: answers the question how important the function is and how well meets the user requirements; function’s relative importance, intrinsic and technical dimension terms are ascertained; functions classification for the analyzed product is finalized;

  • product design or redesign based on required functions.

  • Function is considered an essential attribute of the studied product expressed in terms of medium and user. In the same time, the function can be regarded as a characteristic of the product that determines a particular utility. The list of function classification is the starting point of value engineering studies.

  • Product functions are determined by importance, the measurement method, its contribution to achieving use value and the degree of generality.

  • Drawing up the list of filter medium functions is based on defining the filter medium and the conditions under which it works. In principle woven filters are intended to be used in filtration.

Based on such considerations the functions considered to be necessary for the filter medium, their technical elements of assessment and their typology classified by standard criteria are shown in Table 2 (I.Cioară&L.Cioară, 2009).

2.2. The hierarchy functions woven fabrics filter

After developing the list of all functions their classification is done in order to establish the importance and weightiness of each function in rapport to all functions the product offers. The classification of the function is done using Value Engineering methods such as the Expertise Method or Imposed Decision Method. Regardless of the method used the classification is done considering all filter media functions or, selectively, group of functions, classified according to their typology.

Imposed Decision Method presents a high degree of objectivity (Condurache et al., 2004). To apply this method the following steps must be achieved: comparing the functions in pairs, calculating the importance coefficient for each function and classifying the functions by their importance coefficient value. By comparing the environmental functions as a filter to obtain decisions (0-1), (0.5-0.5) or (1-0). Scoring are considered: 0 considered less important function, 1 for the function considered more important, compared to 0.5 when the functions are valued as important. D total number of decisions resulting from the comparison of the n features of the filter is calculated with:

D=Cn2=n(n1)2
(1)

I importance factor for each sample is calculated function the relationship:

I=ND
(2)
  • where: N is the sum of points awarded;

  • D - total number of decisions.

The filter media 12 functions obtained by weaving defined in Table 2 were divided into two groups: 6 primary and 6 secondary functions. Apply for group relationship of the main functions, which will be used to design, to establish the number of decisions as follows:

D=C62=6(61)2=15
(3)
Func-tion Decisions N I
123456789101112131415
F10.50.5110.53.50.233
F20.50.5110.53.50.233
F30.50.50.50.50.52.50.166
F4000.50.5010.066
F5000.50.5010.066
F60.50.50.5113.50.233

Table 3.

Coefficient calculation Ranking

The name of the function Specific technical dimension Structural characteristics of fabric
to separate the phases of a heterogeneous mixturepore sizefineness and density of yarns
to ensure filtration finenesspore shape and distribution, filter medium finenessfineness and density of yarns, weave
to ensure filtering velocityadequate filtering active areafineness and density of yarns
to be dimensionally stable during operationstructural and mechanical characteristics of yarn and fabricthe mechanical characteristics of the of yarns
to withstand the action of mechanical factors during operationtensile strength
burst resistance
the mechanical characteristics of the of yarns
to withstand the erosive effects of the environmentchemical resistancethe nature of raw material

Table 4.

Priority functions of the filter media and their assessment criteria

In Table 3 are comparative analysis, two by two principal functions. The last column of the table are shown the importance scores and values of each corresponding functions. Based on the values of the coefficients of importance to obtain the hierarchy of the main functions in the following sequence: F1, F2, F6, F3, F4, F5.

Priority functions set out in this way are taken into consideration when designing or redesigning filter media weaved in accordance with functionality criteria. In this respect the assessing criteria of woven filter media priority functions are summarized in Table 4.

The parameters specific to the woven filter with simple structure that will provide functional design criteria are: the relative porosity, pore shape and size, the pore distribution, the active filtering surface.

The structural characteristics of woven fabric,which determine the parameters of filter fabric are: yarns count, thread density and weave.

3. Structural and functional characteristics of the fabric filters with simple structure

Characterization and use of the fabric estimating filters with simple structure can be made by means of specific structural and functional characteristics (Behera, 2010; Cioară, 2002). Among these characteristics are mentioned: porosity, pore size and architecture, active filtering surface environment and filter fineness.

3.1. Porosity

Porosity, feature size filter material is the property of having pores in their structure (Medar&Ionescu, 1986; Cay et al., 2005). In connection with the porosity are two distinct notions:

  • relative porosity, apparent or open, when taking into account only pores that communicate with each other;

  • absolute porosity, effective or real, if we take into account all the pores, i.e. those who are isolated.

  • Fluid flow through uniform or uneven spaces created by the filter medium, while maintaining the quality of filtration, filtration efficiency and smoothness and filtering capacity are issues directly related to the porosity of filter media.

  • Fluid movement across the filter medium is described by the filtration rate, defined as the maximum volume of fluid passing per unit time through unit area of filter. Porosity refers to the filter media pore volume per unit volume and is typically seen in relative units. Generally, the textile filtering media are inhomogeneous because the filter permeability changes during the exploitation. The medium in homogeneity can be bigger or smaller, depending on the structure of woven filter.

3.2. Pore dimensions and architecture

An important feature of each filter surfaces is the existence of pores which penetrate the entire thickness of the filter and retain solid particles larger than the pores in the cross section of their most narrow, but allow passage of fluid that carried them. Small pore is a void within a solid body. After dimensions are distinguished (Medar&Ionescu, 1986) : fine pores with a diameter greater than 20 μm (invisible to the naked eye) and coarse pore diameter greater than 20 μm (visible to the naked eye). The way of communication with the outside pores can be:

  • open, when communication with the outside;

  • closed, when no communication with the outside.

  • Dimensional uniformity and stability of pores of a filter medium directly influences the process of filtering performance (Gabrijelcic et al., 2009). Pore size and shape of woven textile filter media are dependent on the basic structural parameters of fabric: the fineness of yarns, thread density and the weave.

  • Pore’s characteristics which is assessed functional performance of a fabric filter are: side pore, pore area, architecture and distribution of pores in the fabric plane.

  • Side and pore area are geometric features of woven fabric due to its basic structural parameters.

  • In terms of basic structural parameters, the woven fabrics with simple structure can be balanced or unbalanced in fineness and density yarns, and the resulting pores have square or rectangular form.

In Figure 2 are defined pore geometry of a woven fabric with simple structure. In the balanced woven fabric (Figure 2.a), the warp and weft, have the same fineness and density, the same diameter d and the same density P. Therefore to obtain a filter fabric with square pores. In the unbalanced woven fabric (Figure 2.b), the warp and weft have different count, expressed by du, db, and different density threads expressed by Pu, Pb. As a consequence to obtain a fabric filter with rectangular pores.

media/image6.png

Figure 2.

Pore geometry

3.2.1. Pore side

Pore side is the distance between two consecutive threads of the fabric measured in the projection on the horizontal fabric's plan.

For structures balanced (Figure 2.a), pore side it could be calculated with:

l=10Pd(mm)
(4)

For structures unbalanced (Figure 2.b), pore sides, lu and lb, is defined by relations:

lu=10Pudu(mm);lb=10Pbdb(mm)
(5)

3.2.2. Pore area

Pore area is defined as the projection on the horizontal plan of the fabric's pore.

For balanced structure (Figure 2.a) the pore area Ap is calculated with:

Ap=l2(mm2)
(6)

For unbalanced structure (Figure 2.b) pore area is calculated by the relationship:

Ap=lulb (mm2)
(7)

3.2.3. Pores architecture

Pores architecture is a characteristic determined by the fineness of yarns, threads density, mechanical and rheological characteristics of yarns and weave used. The segments of the yarn which constitute the pore sides can be considered, like a beam in one of two situations:

  • passing from one side to another fabric,

  • above or under the opposite yarn system.

  • Under these circumstance, the pores` shape and size depend not only on yarn count and density, but also on the positions of the yarns in the weave.

For this purpose an analysis is presented which highlights the fact that the weave determines the distribution of requests in the yarns and the default form of pores. The analysis is done on three woven fabrics filter, whose characteristics are presented in Table 5.

The weave used in implementing the three fabrics are shown in Figure 3. To the right of each weave are represented by pores with a distinct architectural (Cioara et al., 2003).

Woven filter Weave Raw material Yarn diameter
(mm)
Thread density
(yarns/cm)
Filter 50 meshPlainPolyamide0.1420
Filter 22 meshTwill D2/2Polyamide0.459
Filter 24 meshTwill D3/1Polyamide0.459.5

Table 5.

Variants of filter fabrics

After examining the shape of pores in the three weave can be made the following observations and interpretations:

  • at the fabric filter with plain weave (Figure 3.a) all the pores have the same architecture; the threads have a similar position in the pore sides (all threads are crossing from one side to another of the fabric). Under these conditions the fabric structure creates the potential formation of uniform pores in the shape of their; the pores I, is identical in structure with pores II;

  • at the fabric filter with twill weave D 2/2 (Figure 3.b) pores of the report have the same structure. Shapes and sizes of the four types of pores are identical. It creates the conditions to achieve a uniform structure with a high degree of homogeneity to ensure a quality filter; pores numbered I, II III IV is identical in structure;

  • at the fabric filter with twill weave D 1/3 (Figure 3.c) is classified in four types of pores. The four distinct architecture creates pores with different shapes and volumes that the conditions for the flow through it are differentiated; pores numbered II, is identical in structure with pores IV, pores I and III is different.

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Figure 3.

Type of pores

To support these interpretations, on the three types of fabric filter were performed measurements of area pores, using a specialized program. Measurements were made on the fabric images captured with a stereo microscope with digital camera.

These images are presented in Figure 4, 5 and 6. In each figure is shown a fragment of the microscopic image of the fabric filter with the contours measured pore, the statistics of individual value of area and pore distribution curve.

To facilitate analysis of information provided by research, in Table 6 were centralized statistical processing on the string values of individual values of the areas measured.

Weave Mean area
(mm2)
Min. value
(mm2)
Max. value
(mm2)
Range
(mm)
Std.Dev.
(mm)
CV
(%)
Plain0.10211640.08413350.11206370.02793020.00644766.31
Twill D2/20.21049190.15558400.27319340.11760940.031018014.73
Twill D3/10.32338220.18106070.47556480.29450410.072275322,34

Table 6.

Statistical evidence

The analysis of microscopic images shows that the filter fabric with plain weave (Figure 4) pores are relatively uniform shapes and sizes. This is supported on the one hand, the low dispersion of individual values (s=0.00644) and, on the other hand, the restricted distribution of individual values around the average. Extreme values, minimum and maximum, with reduced weight, have a deviation of up to 10% of the average pore area.

At the fabric filter with twill weave D 2/2 (Figure 5) is observed as architecture, two types of pores with greater irregularity than plain weave. Pore area shows a greater variation, which is confirmed by the dispersion value (s=0.03101) and the pore distribution curve shape. Even if the pore area varies widely, up to 25% from the mean, the woven filter is estimated that the structure is uniform. Extreme values are numerous and, consequently, the distribution curve is wider.

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Figure 4.

Pore architecture of the woven filter - plain weave

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Figure 5.

Pore architecture of the woven filter - twill D 2/2

At the fabric filter with twill weave D 3/1 (Figure 6) is observed as architecture, the four specific types of pores. The dispersion of measured values (s=0.07227) indicates large variation in pore area, which is emphasized by the distribution curve. Pore area varies widely, with over 50% of the mean value and the structure of a fabric filter has emphasized the uneven character.

media/image14.jpeg

Figure 6.

Pore architecture of the woven filter - twill D 3/1

3.3. The active filtering surface

This parameter provides information about the porosity of the woven filter and resistance to fluid flow through it. Active filtering area was defined as the ratio of pore area, Ap, and area of fabric element, Aet, is calculated from the relationship:

Sa=ApAet100(%)
(8)

3.4. Filter fineness

The woven filter fineness is a nominal identification, which is expressed by the number of pores per unit length or number of pores per unit area. The filter fineness is calculated by the following relations:

balanced woven filter fabrics:

= P (pores/cm)
(9)
Fm= 2.54 P (pores/inch)
(10)
Fd= P2(pores/cm2)
(11)

unbalanced woven filter fabrics:

Fd= PuPb(pores/cm2)
(12)

4. Algorithms for functional design of filter. Examples of application

The last stage of the value engineering technique is to design or redesign based priority functions. Based on the conclusions presented in the above analysis were developed five functional design algorithms for simple structure filter fabrics balanced and unbalanced in fineness and/or density (I.Cioara & L.Cioara, 2010). Always choose the algorithm is done according to known elements (input data) and the requirements process of filtering (output data) to design, redesign or verification. Following the sequence of calculation steps is different from one algorithm to another.

4.1. Algorithms for functional design of filter

In Tables 7 and 8 shows the deployment of the calculations according to data input and output, these calculations are completed to the mass of fabric filter.

In the relationships of calculating the parameters of qualitatively appraising the simple structure woven fabrics used as filtering media the significance of the employed symbols is the following: d - yarn diameter in the balanced structures (mm); du, db - warp and weft diameter (mm); A - tabled constant for the diameter calculating; Ap - pore area, (mm2); Aet - woven fabric element area, (mm2); Ttex - yarn count in the balanced structures, (g/km); Ttexu, Ttexb - warp and weft count, (g/km) ; P - threads density in the balanced structures, (yarns/cm); Pu, Pb - warp density and weft density, (yarns/cm); l - square pore side, (mm); lu, lb - the pore side in the warp and weft direction, (mm); F - balanced structure filter fineness, (pores/cm); Fm - balanced structure filter fineness, (pores/inch); Fd - filter fineness, (pores/cm2); M - woven fabric mass, (g/m2); a - crimp yarn in the woven fabric, (%); m – factor of unbalanced for threads density.

4.1.1. Algorithm I. Design of simple filters based on the density and fineness of yarn (Table 7)

In this case we consider as known the basic structural characteristics of fabric: warp and weft yarn diameters (du, db) and their densities (Pu, Pb). The algorithm is used to identify specific characteristics of woven fabrics filters: the filter fineness, the pore side and area, the active filtering surface.

Based on of factors identified can be appreciated if appropriate filter fabric filtration process characteristics. Depending on the conclusions formulated after verification can be redesign the fabric to match the outlays.

4.1.2. Algorithm II. Design of simple filters based on the yarn diameter and filter fineness (Table 7)

In this case it is considered known diameters of the warp and weft of yarns (du, db) and fineness filter fabrics. The algorithm is used to design a filter of woven fabrics density unbalance. The yarns density, the pores sides and surface, the active filter area and the fabric weight are determined by calculations.

Since by changing the density unbalance factor the pores shape and dimensions are also modified ensuring an appropriate filtering fineness. The algorithm can be additionally used to re-design according to given requirements.

4.1.3. Algorithm III. Design of simple filters based on the yarn diameter and side of pore (Table 7)

Algorithm I Algorithm II Algorithm III
1. Input data: du,db, Pu, Pb 1. Input data: du,db, Fd 1. Input data: du, db, lu,lb
2.Yarn count
Ttex=d2A2
2. Yarn count
Ttex=d2A2
2. Yarn count
Ttex=d2A2
3. Filter fineness
balanced structures

F=Pu=Pb  pores/cm
Fm=F2.54pores/inch
unbalanced structures
Fd=PuPbpores/cm2
3. Thread density
P=f(Fd)PuPb=FdPuPb=m
Pu=FdmPb=Pum
3. Thread density

P=f(lp,d)Pu=10lu+duPb=10lb+db
4. Pore side

lu=10Pudulb=10Pbdb
4. Pore side
l=f(P,d)lu=10Pudulb=10Pbdb
4. Filter fineness
balanced structures
F=Pu=Pb  pores/cm
Fm=F2.54pores/inch
unbalanced structures
Fd=PuPbpores/cm2
5. Pore area

Ap=f(P,d)Ap=(10Pudu)(10Pbdb)
6. Filtering active surface

Sa=f(P,d)Sa=(10Pudu)(10Pbdb)
7. Woven fabric mass

M=PuTtexu10100100a+PbTtexb10100100a

Table 7.

Specific elements for algorithms design I, II, III

Algorithm IV Algorithm V
1. Input data: du,db, Sa 1. Input data: lu, lb, Sa
2. Yarns count
Ttex=d2A2
2. Pore area
Ap=lulb
3. Thread density
for balanced structures of cover factory:
Pudu=Pbdb
P=f(Sa,d)Pu=10SaduPb=10Sadb
3. Thread density
P=f(Sa,lp)Sa=ApAet100    Aet=Ap100Sa=10Pu10Pb
PuPb  ; PuPb=mPb=SamApPu=Pbm
4. Filter fineness
balanced structures
F=Pu=Pb  pores/cm
Fm=F2.54pores/inch
unbalanced structures
Fd=PuPbpores/cm2
4. Filter fineness
balanced structures
F=Pu=Pb  pores/cm
Fm=F2.54pores /inch
unbalanced structures
Fd=PuPbpores/cm2
5. Pore side

l=f(P,d)lu=10Pudulb=10Pbdb
5. Yarns diameter

du=10Puludb=10Pblb
6. Pore area
Ap=f(P,d)Ap=(10Pudu)(10Pbdb)
6. Yarns count
Ttex=d2A2
7. Woven fabric mass
M=PuTtexu10100100a+PbTtexb10100100a

Table 8.

Specific elements for algorithms design IV, V

The algorithm is used to design the fabric characteristics in compliance with the parameters of the filtering process. The input data are warp and weft yarn diameters (du, db) and pore sizes (lu, lb). Imposing pore side means the particle to be retained is known, the filter being a calibrated restriction. The required yarn density and all the specific characteristics of the filter are obtained by calculations.

4.1.4. Algorithm IV. Design of simple filters based on the yarn diameter and active filter area (Table 8)

Active filter area is a feature that determines the permeability of the fabric and filter potential to withstand the fluid flow. This algorithm is considered known following elements: the warp and weft yarn diameters (du, db) and active filtering surface (Sa).

The algorithm allows the calculation of specific characteristics of the filter: pore area and pore side, which determines the filtration fineness and efficiency.

4.1.5. Algorithm V. Design of simple filters based on the pore side and active filter area (Table 8)

In this case filter fabrics design is based on filtering process requirements. Input data are: pore sizes (lu, lb) and active filtering surface (Sa). Active filter area determines the filter permeability and influences the flow velocity. The pore side determines the size of the retained particle and influences the filtration fineness and efficiency. The structural characteristics of the fabric are obtained by calculations.

4.2. Examples of application

Further gives examples of the implementation of the five algorithms to design filter woven fabrics with simple structure made from monofilament yarns.

To facilitate the calculation has been made a computer assisted design program (Cioara et al., 2008).

Sequence with the principal program menu is shown in Figure 7. At the top of the screen, interactive buttons, the corresponding input data are highlighted five algorithms. The dates presented in Figure 7 are typical application example of the algorithm I (Table 9).

Sample filterParameter Symbol Value UM
media/image54.jpeg
Yarns diameterd 0.31 mm
Thread density P 11.0 threads/cm
Filter finessF11.0pores/cm
Filter finess meshFm 27.94pores/inch
Pore sidel0.599mm
Pore areaAp 0.3589mm2
Filtering active surfaceSa 43.43%
Dimensional factorA 0.0392 -
Yarns countT62.54tex
Crimp yarna4%
Woven fabric massM143.32g/m2

Table 9.

Balanced structure - designed with algorithm I (weave plain)

The program has the possibility of saving data Input and account for the different variants. These data are provided to the operator in the form of tables. In this way the designer can to compare specific elements of the different variants and select the variant that best corresponds to requirements process of filtering.

media/image55.png

Figure 7.

The main menu of the program

Sample filter Parameter Symbol Value UM
media/image56.jpeg Yarns diameterd0.29mm
Filter finess meshFm36pores/inch
Filter finessF14.2pores/cm
Thread densityP14.2threads/cm
Pore sidel0.414mm
Pore areaAp 0.1716mm2
Filtering active surfaceSa 34.6%
Dimensional factorA0.0392-
Yarns countT54.73tex
Crimp yarna2%
Woven fabric massM158.61g/m2

Table 10.

Balanced structure - designed with algorithm II (weave – hopsack 2/2)

The applications are presented in Tables 9, 10, 11, 12, 13. These applications are made for woven fabrics filters with finesse and densities balanced structures, made with weave plain, weave – hopsack 2/2, weave- irregular sateen and weave – twill 2/2.

Sample filterParameterSymbol Value UM
media/image57.jpeg
Yarns diameterd 0.11 mm
Pore sidel 0.11 mm
Thread densityP45.5threads/cm
Filter finessF45.5pores/cm
Filter finess meshFm115.57pores/inch
Pore areaAp0.0121mm2
Filtering active surfaceSa24.95%
Dimensional factorA 0.0392 -
Yarns countT7.87tex
Crimp yarna4%
Woven fabric massM74.6g/m2

Table 11.

Balanced structure - designed with algorithm III (weave- irregular sateen)

Sample filterParameterSymbol Value UM
media/image58.jpeg Yarns diameterd 0.14 mm
Filtering active surfaceSa 49 %
Thread densityP21.4threads/cm
Filter finessF21.4pores/cm
Filter finess meshFm 54pores/inch
Pore sidel0.327mm
Pore areaAp 0.107mm2
Dimensional factorA 0.0392 -
Yarns countT12.76tex
Crimp yarna5%
Woven fabric massM57.49g/m2

Table 12.

Balanced structure - designed with algorithm IV (weave – plain)

Sample filterParameter Symbol Value UM
media/image59.jpeg
Pore sidel0.1mm
Filtering active surfaceSa 31 %
Pore areaAp 0.01mm2
Thread densityP55.7threads/cm
Filter finessF55.7pores/cm
Filter finess meshFm 141.4pores/inch
Yarns diameterd0.08mm
Dimensional factorA 0.0392 -
Yarns countT4.16tex
Crimp yarna6%
Woven fabric massM49.3g/m2

Table 13.

Balanced structure - designed with algorithm V (weave – twill 2/2)

Each table is presented as a fabric filter microscopic image and the list of parameters supplied by the computer program. Same time, the tables are highlighted input data specific to each algorithm separately.

In each example there is a good correlation between the elements provided by the computer program and structural characteristics shown on the microscopic image of the fabric made. This aspect allows us to say that the proposed algorithms achieve a better modeling of the structural parameters and specific functional of woven fabrics filters with simple structure.

5. Conclusion

The woven fabrics which are used as filter fabrics, have the functionality imposed for the filtration process. Structure and properties of the woven filter fabrics are adequately differentiated, for the principles of the filtering process. The paper defines the structural and functional elements that are specific to the filtering woven fabrics, which have a structure that is simple, balanced and unbalanced in yarn count and thread density.

The methods of filter design for the fabrics with simple structure is based on the specific geometry of the structure elements fabrics. To achieve filter fabric with uniform pore (size and shape), is recommended of use, weaves balanced with equal segments and uniform distribution (plain, twill D 2/2, hopsack 2/2). Five algorithms of designing the filtering woven fabrics having a simple structure were elaborated, which can be differentially applied depending on the initially introduced elements.

By using computer aided design program to obtain a set of variations of the designer select the optimal variant, which corresponds better to the needs of field exploitation.

Acknowledgements

The paper was developed in the research program PNCDI II no.31-088/2007 contract, financed by the Romanian government, which the Technical University "Gheorghe Asachi" of Iassy was a partner. Research presented in this work were performed at the Faculty of Textiles and Leather Engineering of Iassy, Department Technology and Design of Textile Products, laboratory TEXTILEXPERT.

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