**Some Useful Formulas for Determining Fiber Properties ****Amit Kumar Das** Founder of "টেক্সটাইল ম্যানিয়া" Blog Pabna Textile engineering college, Pabna, Bangladesh **Cell:** 01770 456240 **Email:** amitptec6th@gmail.com

**Introduction:**
Today we will discuss about some easy formula aims to determine some important **properties of fiber** like diameter of fiber, fiber maturity, spinning limit, spinning value of **cotton fiber**, standard fiber fineness etc. Those properties are necessary to know before taking decision about production. So lets have a look how can we determine those?
**Diameter of Fiber: **

**(I) Diameter of fibre in microns **= 2000 = √ { X ÷ ( Y x π x 9000 ) }

Where,
X = Fibre denier

Y = Fibre specific gravity

Denier is the mass in grams of 9 kilometres of the material.

Also ,

1 denier = 0.05315 grains and

Denier = 5315 *÷* cotton count

**(II) Fiber diameter in microns** = 20 √ { Denier ÷ (3.14 x specific gravity)}

**Fibers per cross section of yarn (T), **

T = 20√ [ { 53.15 x sum of ( % of each denier ÷ each denier) } ÷ ( yarn count to be spun ) ]

**Fiber maturity: **

**Fibre maturity ratio** = (Normal – Dead ) /200 + 0.7

**Maturity coefficient** = ( N + 0.75T + 0.4 D) / 100

Where,
N = normal coefficient

T = Thin walled of half mature fibers

**Spinning limit: **

**Spinning limit** = 5315 / (Denier of fibre x Actual fibres per cross section)

The ratio should be about 3200 for fine **yarn counts** and about 3000 for course counts.

**Neps: **

**Neps per 100 square **= { (1.531 – log (34-x)) x 100 } / 0.434 inches of web

Where X is the number of cells containing neps (Shirley template method) and 34 is the total number of cells.

**Spinning value of cotton: **

The formula given by Indian Central Cotton **C**ommittee is
C = 78.2X_{2 } - 79.2X_{3
}- 24.8

Where ,

C = highest standard warp count.
X_{2} =Mean fibre length In inches
X_{3} = Mean fibre weight per inch (106 oz. )

**Another formula to predict spinning value from fibre properties is: **
X_{1}_{} = 71.6X_{2} - 70.8X_{3} – 20.8X_{4}
+ 17.9X_{5} + 0.037X_{6} + 4.4 X_{7}^{-14.1}

X_{1} = Highest standard warp count

X_{2} = Fibre length (inches)

X_{3} = Fibre weight per inch (10-6 oz.)

X_{4}
= Fibre width(10-3 inch)

X_{5} = Fibre strength

X_{6} = Fibre convolutions

And X_{7} = Fibre rigidity (oz./inch2 x 10-6)

**Standard fiber fineness :**

Standard fiber fineness = Measured fineness / Maturity ratio

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