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 PART - I

Chapter 9

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

 

Mixing Fibre Tests as Weighted Average of Individual Cotton Tests
 

In a spinning mill quite often one has to spin yarns from mixings of two or more cottons. Results from an experiment vouch that it is indeed feasible to estimate the CSP of yarn from a mixing of cottons. In this experiment we carried out spinnings of two cottons, one short and coarse, and the other long and fine, in isolation as well as in mixings containing varying proportions of the two. We calculated the fibre-test data for any mixing by taking the weighted average of the corresponding test-values of the individual components in the mixing. To estimate the CSP of the five yarns, we used the earlier ATIRA-data expressions for F2, and F3  and Bogdan’s expression for F4, and determined, by regression, only the numerical constants in the expression for F1. The values of these constants were respectively, l =7.8574, and m =-1.9529. For each of the five yarns the CS estimate is very close to the experimental values –Table I – 9 - i.

 

We can, therefore, use The General Equation to estimate the CSP of yarns from a mixing by substituting in it the weighted average of the corresponding fibre-test values of individual cottons.

 

This is not surprising: many authors have offered experimental proof to establish that the mixing CSP is nothing but the weighted average CSP of the component cottons.

 

In 1936-37 Dunkerly (10, 11) established this fact by four investigations. In one he used two Egyptian cottons that had CSP of 3185 and 1870, and spun them individually, and in mixings of the two in proportions of 95:5, 85:15, 66:34, and so on. In the second he used cottons that varied in CSP from 2570 to 1760; in the third from 3130 to 1818; and in the fourth 2147 to 2137.

 

In 1959 Louis Fiori and Sands (12) carried out an investigation with two cottons identical in all respects, but having micronaire of 3.2 and 6.2 respectively. They blended the two cottons to yield a micronaire of 4.1. They, then, compared the performance of the resulting yarn with that of a yarn spun from a single cotton of micronaire 4.0, and having all other fibre characteristics equal to those of the blend. They spun yarns of NE 14, 21 and 36. They concluded that the twist-strength curves for yarns from the blended and control cottons are similar in all respects, in spite of the fact that the blended cotton contained fibres varying extremely in fineness. They also subjected the yarns to loom operations without weft insertion. They concluded that the blended-cotton yarn could withstand the stresses of post-spinning operations as well as the control cotton.

 

In 1972 Simpson and Fiori (13), and Jack Simpson, Louis Fiori, Audrey V. Castillon and Hershel W. Little (14) offered experimental data to support the conclusion that the mixing-yarn CSP is the weighted average of the CSP values of the individual cottons.

 

 cotton

L
mm

H
mtex

Z
g/t

F
g/t

S
%

B
%

NE
C

TM
M

OBS 
CS

ERR
%

% DCH  %G11

100          0

37.2

88

41.32

22.46

25.7

49.6

30

4.6

2719

0.2

75          25

34.4

100

41.23

22.06

23.6

45.8

30

4.6

2498

-0.5

50          50

31.7

115

41.15

21.59

21.4

41.9

30

4.6

2318

-2.5

25          75

29

136

41.06

21.19

19.3

38

30

4.6

2034

0.3

0       100

26.2

166

40.97

20.79

17.2

34.2

30

4.6

1838

-0.5

 

Table I – 9 -i : Application Of Equation To Estimate
CSP Of Yarns From Mixings Of Disparate Cottons

OBS: experimentally observed; ERR: error

   
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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