Textile Calculation

Problems and solutions of textile

Calculation of Yarn Package Density

Calculation of Yarn Package Density
S. M. Hossen Uzzal
Production Officer
Monno Fabrics Ltd., Manikgonj
Email: uhossen@gmail.com

Package weight and density:
The package weight and density are two important parameters which are to be standardized for uniform and trouble free dyeing.The packages may be soft or hard these should conform to the standards, when too soft liquor flowing through it will find the course of least resistance and cause channeling, which leaves some parts of the package relatively undyed or lighter. If the packages are wound too hard, a point can be reached where the flow of liquor is impeded to such an extent that poor dyeing or none may occur. The package weight and dimensions depends upon the type of the machine, its flow rate, automation, type and construction of the yarn to be dyed, dye class to be used and type of package holder to be used. The typical density norms for different types of yarns is between 350-450 gm/ltr.
 Yarn package
Package Density calculation:
We know,

M – m
Package Density = ……………………… gm/cm3 ;
2π (2R2 – r2)h

Where,
M= Total package wt

m = Bobbin wt; r =Bobbin dia

R= Total package dia ;

h= Bobbin length or height.

If Package wt 1150 gm, bobbin wt 140gm, package dia 174mm, bobbin dia 65mm, height 149mm,then

1150-140
Package Density = ………………………………………………. gm/cm3
2 X 3.1416 X {(8.7)2 – (6.5)2 X 14.9

= 0.33 gm/cm3

Production calculation:

No. of spindle X M/C speed (m/min) X 60 X 8 X 3 X 1.0939 X efficiency
Production per day = …………………………………………………...........………………………
840 X Count X 2.2046

510 X 1000 X 60 X 8 X 3 X 1.0936 X 0.85
= …………………………………………………………………
840 X 30 X 2.2046

= 12287.95 kg/day

= 12 tons