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QUENCH AIR CALCULATIONS Prep'd by: ASDate: Oct.29, 2003
File Name: document.xls Page 1 of 2
1. CALCULATING STAPLE FIBER THROUGHPUT PER POSITIONa) Calculation in terms of denierSpun denier per Filament (d) = 6.74 dpf (denier per filament)Holes per Spinneret (n1) = 944 nosSpinning Speed (N) = 1669 m/min
Fiber Throughput (W), kg/hr = 0.06*d*n1*N/9000W, kg/hr 70.79
b) Calculation in terms of dtexSpun dtex per Filament (d) = 7.488 dtexpf (dtex per filament)Holes per Spinneret (n1) = 944 nosSpinning Speed (N) = 1669 m/min
Fiber Throughput (W), kg/hr = 0.06*d*n1*N/10000W, kg/hr 70.79
Notes:1) 1 denier is defined as 9000 meters of a single filament weighs 1 g. For example 210 denier means 9000 m of yarn weighs 210 g.2) 1 dtex is defined as 10000 meters of a single filament weighs 1 g. For example 210 dtex means 10000 m of yarn weighs 210 g.3) From 1 & 2 , we have the relation 1 dtex = 1.111 denier
2. CALCULATING FILAMENT YARN THROUGHPUT PER POSITIONa) Calculation in terms of denier Examples of commercial POY products
Spinning denier (d) = 126 den ProductSpinning Speed (N) = 3500 51/14 51 14 3.64No of ends per position (Z) = 1 70/27 70 27 2.59
85/68 85 68 1.25Filament yarn throughput (W), kg/hr = 0.06*d*N*Z/9000 86/27 86 27 3.19
115/136 115 136 0.85W, kg/hr 2.94 115/100 115 100 1.15
132/34 132 34 3.88a) Calculation in terms of dtex 150/34 150 34 4.41Spinning denier (d) = 140 dtex 170/34 170 34 5.00Spinning Speed (N) = 3500 215/34 215 34 6.32No of ends per position (Z) = 1 245/34 245 34 7.21
250/68 250 68 3.68Filament yarn throughput (W), kg/hr = 0.06*d*N*Z/10000 250/34 250 34 7.35
255/34 255 34 7.50W, kg/hr 2.94
3. HEAT LOAD q ON QUENCH SYSTEM PER POSITION (STAPLE FIBER)
285 °C
260 °C
0.48 kcal/kg °C11.5 kcal/kg (This value needs confirmation)
80 °C (Cooling to be done upto glass transition temp, which is considered 80°C)
0.41
q, kcal/hr 6864
Spun Denier
No of filaments
Spun Yarn DPF
Melt temp.of PET (Tmelt) =
Freezing temp. of PET (Tfreeze) =
Avg Sp heat @ melt temp. (Cp-melt) = Latent Heat of fusion of PET (l) =
Filaments cooled to temp (Tfinal) =
Avg Sp heat @ solid fiber (Cp-solid) =
q = (W*Cp-melt*(Tmelt - Tfreeze)) + (W*l) + (W*Cp-solid*(Tfreeze - Tfinal))
QUENCH AIR CALCULATIONS Prep'd by: ASDate: Oct.29, 2003
File Name: document.xls Page 2 of 2
4. HEAT LOAD q ON QUENCH SYSTEM PER POSITION (FILAMENT YARN)
285 °C
260 °C
0.48 kcal/kg °C11.5 kcal/kg (This value needs confirmation)
60 °C (Cooling to be done below glass transition temp, which is 70 to 80°C)
0.40
q, kcal/hr 304
5. MINIMUM THEORETICAL AMOUNT OF QUENCH AIR PER POSITION (STAPLE FIBER)Quench Air supply temperature = 20 °CQuench Air exit temperature = 60 °C
Quench Air Pressure = 0.045 (to be confirmed)Sp heat of Quench Air = 0.25 kcal/kg °CMass flow of QA required = 686.44 kg/hr
Density of QA = 1.25
Actual Volume flow = 549.15
533.98
6. MINIMUM THEORETICAL AMOUNT OF QUENCH AIR PER POSITION (FILAMENT YARN)Quench Air supply temperature = 20 °CQuench Air exit temperature = 40 °C
Quench Air Pressure = 0.007 (to be confirmed)Sp heat of Quench Air = 0.25 kcal/kg °CMass flow of QA required = 60.72 kg/hr
Density of QA = 1.25
Actual Volume flow = 48.58
45.57
7. ACTUAL AMOUNT OF QUENCH AIR REQUIRED PER POSITION (FILAMENT YARN)These calculations applicable for filament yarn only where crossflow QA system is followed.Table for row number factor for the Quench Air quantity
Polymer4 7 9
PET 285 20 40 1.113 1.188 1.735
Actual amount of QA required = Min. Theoretical Amount of Air* f factor from table* 14Example:
710.1
8. EXIT TEMPERATURE OF QA BASED ON ACTUAL QA FLOW (FILAMENT YARN)
710.1
Density of QA at NTP = 1.31Actual Mass flow of QA = 930.20 kg/hrSp heat of Quench Air = 0.25 kcal/kg °CQuench Air supply temperature = 20 °CHeat load for Quench Air = 304 kcal/hrExit Temperature = 21.31
CONCLUSION:Product: POY
Denier Spinning speed, m/min126 3500 2.94 20 21.3 4 1.113 710.1
Prepared by: Ankur Srivastavaemail:
Melt temp.of PET (Tmelt) =
Freezing temp. of PET (Tfreeze) =
Avg Sp heat @ melt temp. (Cp-melt) = Latent Heat of fusion of PET (l) =
Filaments cooled to temp (Tfinal) =
Avg Sp heat @ solid fiber (Cp-solid) =
q = (W*Cp-melt*(Tmelt - Tfreeze)) + (W*l) + (W*Cp-solid*(Tfreeze - Tfinal))
kg/cm2g
kg/m3
m3/hr
Volume flow at NTP (Qtheo) = Nm3/hr
kg/cm2g
kg/m3
m3/hr
Volume flow at NTP (Qtheo) = Nm3/hr
Tmelt, °CTquenchsupply,
°CTquenchexit,
°C f factor for no of filament rows per
spinneret
For f = 4, Qact = Qtheo*1.113*14 Nm3/hr
Actual QA Vol flow at NTP (Qact) = Nm3/hr
kg/m3
Polymer throughput,
kg/hr
QA supply
temp, °CQA return temp, °C
No of rows per
spinneret (1 position)
Row factor
QA flow, Nm3/hr
