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 PART - I

Chapter 10

Can We Modify the General Equation to Estimate CSP Of Combed Yarns?

The Effect Of Combing On Cotton Fibre Properties, And On The Yarn Spun from Combed Sliver
 

Combing brings about the following changes in fibre properties:

 
A Reduction in %-age fibres shorter than 12-mm;
An increase in %-age fibres longer than 24-mm, as a result of the truncation of the length distribution by removal of short fibres;
A very marginal increase in Baer sorter effective length, which may be missed in testing;
A marginal increase in fibre millitex as a result of the removal of the short fibres which are also generally immature and hence fine.
 

The first three beneficial contributions of combing will result in a reduction of the irregularity of the combed yarn, and therefore, in an increase in the CSP of the combed yarn.

 

Combing also endows the sliver with two other advantages: an improvement in the alignment of fibres within the sliver; reduction in the number of hooked fibres in the sliver, and in the extent of fibre hooks. These additional beneficial contributions of combing also result in a reduction of yarn irregularity, and therefore, in a further increase in yarn CSP.

 

We now recall another beneficial contribution of combing to yarn tenacity, which has been pointed out by Lord (8) “……. it is hardly surprising to find that, for carded yarns, the bundle strength measured at zero test length provides information less useful than measurements at 1/8-in. The increased regularity and parallelization of fibre arrangements in combed yarns suggests a decrease in effective length of yarn element –that breaks in yarn tenacity testing -- a feature which may also occur in doubling when fibres are brought into more intimate contact with each other. For such material the best test length for fibre-bundle strength determination may be one closer to zero than that found suitable for the looser, carded yarns.” 

   

Can Fibre-tests on Combed Sliver Be Used To Estimate Combed Yarn CSP From The General Equation?

 

One method of using The General Equation to estimate combed yarn CSP comes to mind. This is to test the combed sliver for fibre characteristics, and then substitute these values in The General Equation for carded yarns. This method, however, will take into account only one aspect of the contribution of combing towards the increase in yarn CSP. We will still have to modify the equation to take account of the effects of improved fibre parallelization, reduction in fibre-hooks, and any reduction in the length of the yarn-element that breaks in tenacity test of yarn, as postulated by Lord. Preliminary attempts showed that this approach could possibly be successful.

 

In other words the compounded fibre parameters that we constructed for estimating the fibre-slippage fraction and the irregularity fraction stand extrapolation for combed sliver.

   

A Practicable Modification of The General Equation for Estimating Combed-yarn CSP at Near Optimum T.M.

 

In practice, at the time taking the decision as to whether to buy the lot of cotton on offer or not, we will, obviously, not have fibre-tests on combed sliver. We should, therefore, be able to predict combed-yarn CSP from bale-cotton fibre-tests. In other words, what we need for combed-yarns is a prediction equation that has been so constructed that it will give estimates of combed yarn CSP on substitution of bale-cotton fibre-tests. Surprisingly, we have been able to derive such an equation.

 

The Modified Equation for combed yarns at near about optimum T. M. has been derived by taking advantage of some practical observations:

 
When the remaining processing machines are the same, the CSP of combed yarn of any count from any cotton can be obtained by multiplying the CSP of the counterpart carded yarn by a factor larger than unity.
This factor decreases with N, the average number of fibres in the yarn cross-section, and, therefore, at any count is less for a coarse cotton than for a fine cotton; the factor tends to one as N tends to zero.
The factor increases with initial increase in the noil percentage, and then levels off with further increase of noil extraction. 
Spun from the same cotton, combed yarns have a steeper fall of CSP with count than carded yarns (15). 
 

Furthermore, one would expect the factor, which gives the ratio of combed to carded yarn CSP, to be dependent upon the fibre-length distribution of the cotton.

 

In order to formulate the equation we should have data on carded and combed yarns spun from cottons of known fibre characteristics. The cottons should cover a wide range of fibre properties. We followed a short-cut to collect such data: we combed the card slivers from the experiment in which one long and fine cotton, and another short and coarse cotton were spun to yarns in isolation as well as in three mixings of differing proportions; we prepared combed slivers at 10% and 18% noil extractions; we spun each combed sliver to NE 30 at T.M. of 4.6, and NE 40 at T.M. of 4.2.

 

From these data we derived the Equation for the CSP of combed yarns keeping in mind the practical observations that we just listed:

 
 
 

In this equation the numerical values of l, m and Q are the same as those for carded yarns spun in the study; and the two fractions F2 and F3  are evaluated from bale cotton fibre-data exactly in the same way as for carded yarns, and are, therefore, numerically equal to those for carded yarns; only the numerical values of p, r and s have to be determined for every noil-level by regression from combed yarn data.

 

l                                    m                    p                   r                      s                    
Carded                         7.8574             -1.9529            0                      0                      Q        
10 % noil                      7.8574             -1.9529            0.0677             13.561             3.235
18 % noil                      7.8574             -1.9529            0.1133             9.047               3.678
 

 

Table I –10 -i shows that this equation gives very accurate estimates of the CSP of combed yarns, at the two noil-extraction levels and for the two counts. This is so for both the long and fine cotton and for the short and coarse cotton, and for the three mixings.

 

We must clarify a point here. The ratio of combed yarn CSP to carded yarn CSP, which can be calculated for any cotton from the equations, should tend to unity with increasing yarn count. This is found to be so in the case of VL cotton, but the ratio becomes less than unity for G11 cotton beyond NE = 90 or so. Obviously, this is because we have derived the equation for combed yarns from data on just two yarn-counts. More work is required to fine-tune this equation.

 

We can conclude that The General Equation can be modified to get estimates of CSP of combed yarns at near optimum T.M.  from fibre-test data on bale-cotton.

 

%-AGE
IN MIX   OF

NOIL      10 %

 

NOIL  18 %

NE 30

NE 40

NE  30

NE  40

VL

G 11

OBS
C S

% ERR

RATIO CS
C/K

OBS
C S

% ERR

OBS
C S

%  ERR

RATIO  C/K

OBS
C S

%  ERR

RATIO CS
18 %/ 10 %

OBS

EST

OBS

EST

OBS

EST

100

0

2965

-0.6

1.090

1.082

2809

1.6

3078

-0.7

1.132

1.122

2898

2.3

1.038

1.045

75

25

2715

-1.4

1.087

1.077

2520

1.1

2816

-1.3

1.127

1.118

2627

1.0

1.032

1.039

50

50

2390

1.3

1.031

1.072

2242

0.7

2507

0.5

1.082

1.114

2288

3.1

1.042

1.042

25

75

2189

0.6

1.076

1.066

1982

0.0

2306

-1.7

1.134

1.111

2050

1.3

1.021

1.044

0

100

1985

-2.3

1.080

1.061

1720

0.2

2093

-3.3

1.139

1.107

1829

-1.0

1.034

1.047

 

Table I –10 -i  Accuracy Of Estimates Of CSP Of Combed Yarns

 

NOTE: we spun only NE 30 yarn from carded slivers, but both NE 30 and NE 40 yarns from the combed slivers. % ERR: % error in CS estimate

 
Part - I
 
Understanding And Making Use Of The Equation
   
Chapter 1

Why Do We Need Another Equation for the Prediction of Yarn Tenacity?

Chapter 2

Strcturing the General Equation for Yarn Tenacity

Chapter 3

The Algebraic Expressions for the General Equation

Chapter 4

The Choice of Parameters of Fibre-Length Distribution for Use in the Irregularity Fraction

Chapter 5
Chapter 6

Making Use of the Equation in a Mill

Chapter 7

What Does the General Equation Tell Us?

Chapter 8

How General Is The General Equation ?

Chapter 9

Can We Use the General Equation to Estimate the CSP of Yarns from Mixings of Cottons?

Chapter 10

Can We Modify the General Equation to Estimate CSP Of Combed Yarns?

Chapter 11 A Note of Caution
Chapter 12
Chapter 13 The General Equation, A Tool for Economic Cotton Selection
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