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Mathematical Problem of Jute Batching

**Mathematical Problem of Jute Batching ****Engr Avijit Dey ** Production Officer Fabian Group, Chittagong **Mobile:** 01836124490 **E-mail:** avijitdey43@yahoo.com

**Jute Batching: **
If the jute fibre is taken from the bale and passed directly over the spinning machinery, then the yarn which is made from it is weak and irregular and the amount of water in processing is high. In order to produce an acceptable yarn it has been customary from the earliest days of jute manufacture on an industrial scale to condition the fibre for **jute spinning** by adding oil and water to it – this operation is known as batching.
**Problem :1 **

What is the delivered **count** of the sliver under the following condition?

- Raw jute feeding rate (lb/min) = 27
- Emulsion flow (gal/hr) = 32
- S.G. of emulsion = 0.97
- Length of sliver in a roll (yd) = 450
- Time to from a roll(min) = 7.2

**Solution: **

32 ×9.2

**Emulsion flow** = **……..…** = 5.2 lb/min

60

**Total delivery** = 27.0+5.2 = 32.2 lb/min

450

**Delivery speed** = **……… **= 62.5 yd/min

7.2

32.2×100

**Sliver count **= **………….** = 51.5 lb/100yd.** (ANS) **

62.5

**Problem: 2 **

If leaders were used how many leader rolls per hour would be needed if the draft is12?

**Solution: **

62.5

**Feed speed** = **………..** = 5.21yd/min

12

Length on a roll = 450 yd

Therefore,

450

**1 roll will last** = **…………….** = 86.5 min

5.21

But two leaders are always required, so

2×60

**Rolls per running hour** = ……….. = 1.39 **(ANS) **

86.5