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 PART - II

APPENDIX II - 3

Estimating yarn CS from the ATIRA expressions for the general equation

Illustrative example

L effective length

S,  % fibres shorter than 12-mm.
B  % fibres longer than 24-mm
H fibre-fineness, millitex, not micronaire
Z Stelometer zero-gauge fibre-bundle tenacity, and
F Stelometer 1/8-in. tenacity by.
Then

Table II - A– 3 - i gives, by way of illustration, the numerical values of each step in the calculation.

Table II – A -  3 -i: Illustrative Calculation Of CSP from The General Equation

cotton

S4

F414

cotton

S4

F414

L

32.3

27.1

H

130

150

H

130

150

f(H)

0.0169

0.0225

Z

35.4

43.4

lm

0.169

0.225

F

19.3

21.4

fmax

0.94273

0.91822

S

19.8

19.7

E0

0.572423

0.745453

B

56.1

37.8

E

0.772558

1.107395

G

0.377658

0.438537

lm+LM

0.9416

1.3324

V

0.145259

0.147055

F(3)

0.77835

0.70045

W

0.314682

0.233531

f(3)

0.82564

0.76283

A0

2.665567

1.994458

DEN

6956.49

8303.46

A

36.4878

30.69601

Q

4.26080

4.37552

L_1

2.987192

3.515494

N

90.854

78.740

Q

4.260801

4.375517

F(1)

0.42863

0.35431

M

3.25

3.25

X

2982

2942

C

50

50

F(4)

0.871175

0.871175

N

90.854

78.74013

EST CS

2024

1375

nl

1.508391

1.476093

 

 

 

U0

1.533742

3.052998

 

 

 

U

5.115905

23.37368

 

 

 

F2

0.943691

0.703154

 

 

 

 

Note TO Table II – A -  3 -i: Illustrative Calculation Of CSP from The General Equation

More decimals than are really required are given to help you verify your computer output. 

***When we have to deal with a new spinning set-up, we have to estimate the numerical constants in F(1). In such a situation to get accurate enough values we have to spin each of five disparate cottons to three different counts, and each count at one convenient twist multiplier. We then proceed with the calculation upto the stage,

DEN =208.35xZxfmax.

Then,

OBS X=(OBS CS)/(F2xf3xF4)

We calculate the value of Y for each count of yarn spun from each cotton. We then prepare a plot of the 15 Y-values against the corresponding Q – we will have three points over each Q. We draw the best fitting straight line through the points. The intercept of the line =l; the slope of the line is = m. As an alternative method we can use the ‘solver’ of the computer to get l and m

PART - II
Conceptual Framework and Methodology Used to Derive the Algebraic Expressions
 
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
APPENDIX II - 1
APPENDIX II - 2
APPENDIX II - 3
APPENDIX II - 4
APPENDIX II - 5
 
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