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 About New Research

The Textile Association (India) is proud to present this path breaking research work of considerable practical use to the cotton spinners of the world.

We thank the Department of Scientific and Industrial Research, Government of India, for their financial support for spreading this work and several others (planned) from Indian R & D through the internet for use by the world textile fraternity.

A General Equation for Estimating Ringspun Yarn Tenacity T.A.Subramanian, psbad1@sancharnet.in
     
Two roads diverged in a wood, and I. . . I took the one less traveled by, And that has made all the difference - Robert Frost
     
PREFACE

About This Website

The table below gives you data on two cottons.

 
 

Cotton

XX

ZZ

Effective length, mm

32.3

27.1

Micronaire

3.55

4.51

Stelo g/t at 1/8-inch

24.3

27.0

Cost Index

100

84

 
     

Which of the two cottons would you buy to spin NE 40 (15 tex) hosiery yarn? Again which of the two would you buy to spin NE 30 (20 tex) warp yarn? In order to answer these questions you need to be able to fill the following table.

 
 

Cotton

XX

ZZ

T.M.

CSP at NE

30

40

30

40

3.25

 

 

 

 

3.75

 

 

 

 

4.25

 

 

 

 

4.50

 

 

 

 

 
   

Is it at all possible to do this with the available fibre test data? Or do we need to get some more fibre tests done? Which tests? The work on The General Equation For Estimating Ringspun Yarn Tenacity was undertaken to answer these questions. This monograph reports the successful outcome from the work.

 
 
If you just want to know what the heck this is all about, there is the Executive Summary for you.
If you just want to get a fast-forward through the why and what of The General Equation, please read the abstract.
If you are enthused to give the method a try, then go right on to Part I.
If you would like to scrutinize both the conceptual framework and the statistical procedures that have been used to arrive at The General Equation then Part II is for you to grapple with.
 

Each part is self-contained so that you may go straight on to your choice; you will not have to criss-cross, even to study a table or a figure that is being referred to.
The Executive Summary is just that.

 
     
The Abstract gives  
 
An introduction to the topic, a summary of Part I and II..
 
     

Part I deals with

 
 
Why do we need another equation to predict CSP?
The New Model: The building blocks and the model itself
Algebraic formulae: How simple do you need to make them?
The algebraic expressions for estimating CSP by the New Model
Gleaning some insights for use in cotton selection
A worked example.
Customizing the model for application in your mill 
How does one estimate CSP of yarns from mixings of cottons?
What about combed yarns?
Can we rework the model for use with HVI test data?
Can we rework the model to predict rotor-yarn CSP from HVI data?
 
     

PART II deals with

 
 
The conceptual framework and the statistical procedures that have been used to give algebraic shape to the General Equation;
Corroborating evidence;
Appraisal of The General Equation and scope for improvement.
 
   

A Time To Remember

I started on my quest of a general equation for estimating cotton yarn CSP in 1971 with S. Bandyopadhyaya and Ganesh K, then my colleagues in A.T.I.R.A. In the next stage Ganesh and I worked together. Soon thereafter, Ganesh left ATIRA. Then I worked for a short while with P. Neelakantan. In 1975 I myself left ATIRA for a tenure in industry. I returned to ATIRA in 1980, and with Dhawan as co-worker, made a new start.

 

Until 1984 my quest turned out to be more like a Sunday treasure hunt that urban automobile associations organize. You locate a clue only to learn how to look for the next. Unlike in the treasure hunt, however, Bandyopadhyay, Ganesh and I passed on the clues we located to other competitors by a paper in The Journal of The Textile Institute. Ganesh, Neelakantan, Dhawan and I published our findings too.

 

From 1985 onwards I was on my own. I then happened to re-read E. Lord’s very illuminative analysis of the appropriate gauge-length for fibre-bundle tenacity test to use in yarn tenacity equations.

 

This helped me get the pieces of the puzzle dovetail. During the period 1985 to 1991, I used to submit reports on the progress of work to The Expert Panel that annually reviewed the research work of ATIRA in spinning. When I retired from ATIRA in 1991 the equation had reached its stage of finality.

 
The availability of meticulous test data on cotton contributed in some measure to my success. Thank you Varsha, Dhatri, Solanki, Shah and Rawal. I did not, however, feel enthused to publish the work in Journals then, because there was still arduous fine-tuning to be done.
 

In 1999 by his gift of a computer and his unstinting support to me in its use, my son P.S.Bharadhwaj motivated me to take up where I had left off in 1991; Mr. A. Hirway had very considerately arranged for the safe-keeping of all my notes and calculation sheets, and got them returned to me when I needed them. Between them they enabled me to improve upon parts of the equation, check through the calculations, and write the work for publication. My wife Vijayalakshmi optimistically let me brood over the computer hours on end, even in retirement, often propping me up with cups of hot coffee or tea.

 

All along the years, my conviction that more work on the CSP equation was very necessary got confirmation in the intermittent appearance of publications on the subject: Neelakantan’s paper in Bremen Cotton Conference, 1992; SITRA booklet 2002; an article in the International Textile Bulletin in 2003. In April 2003 I got the first draft of the manuscript ready. In  August 2004 International Textile Bulletin published my paper announcing the availability of The General Equation For Estimating Cotton Yarn Tenacity.

 

In September 2004 Mr. M. C. Paliwal, a doyen of the Textile Association (India), took up the publication of the work as a monograph with Mr. Ashok Garde, The Chairman of The Book Publication Committee, Textile Association (India). Mr. Garde offered to get the monograph published by TAI. I thank both of them for enabling me to share this work with all those interested in this area.

 

As this is going on to the website, I recall some cherished professional associations. In the later half of the nineties the Members of the ATIRA Expert Panel in Spinning cheered me to plod along, when at times the goal appeared elusive. I remember in particular Dr. P. R. Roy, Mr. Purandare and the Late Ishwerbhai Shah. During those years my friend Mr. Lavkumar Kantilal also urged me to persist reiterating that the stakes were worth the trudge.

 

With profound gratitude and affection, I remember two past directors of ATIRA, Dr. T.S.Subramanian and Dr. P.C.Mehta who often condoned my foibles and motivated me to give of my best.

 

I thank Dr. Gharia, the director, ATIRA, for kindly allowing me to incorporate in the monograph work done in ATIRA years after my retiring from ATIRA.

 

T. A. Subramanian
Psbad1@ sancharnet.in
January 5, 2006.

Sections in New Research
 Part - I
Index - I
Why Do We Need Another Equation for the Prediction of Yarn Tenacity?
Strcturing the General Equation for Yarn Tenacity

The Algebraic Expressions for the General Equation

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

Improved Algebraic Expressions for the General Equation
Making Use of the Equation in a Mill
What Does the General Equation Tell Us?
How General Is The General Equation ?

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

Can We Modify the General Equation to Estimate CSP Of Combed Yarns?
A Note of Caution
Can We Modify the General Equation to Accept HVI Data?
The General Equation, A Tool for Economic Cotton Selection
 
 Part - II
Index - II
Concept and Structure of a General Equation
The Algebraic Expression 0f the General Equation:The First Attempt

Improved Algebraic Expressions And Their Interpretation

Implications of the General Equation

Appraisal
Practical Application
APPENDIX II - 1 Derivation of the algebraic expressions in the general equation for Brown’s data
APPENDIX II - 2. Regression equations for estimating Uster frequencies of thin and thick places in yarn

Appendix II - 3 Estimating yarn CS from the ATIRA expressions for the general equation.

Appendix II - 4 Cross-Checking Applicability Of Model To Viscose Yarns
Appendix II - 5 Procedure for Adjusting SITRA HVI Test Data To Use In The Modified General Equation For Estimating CS Of Ring-spun Yarns of optimum twist
 
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